Thomas Ch.5 Full Test Bank Time Value Of Money Concepts - Answer Key + Test Bank | Intermediate Accounting 10e by J. David Spiceland, Mark W. Nelson, Wayne Thomas. DOCX document preview.
Intermediate Accounting, 10e (Spiceland)
Chapter 5 Time Value of Money Concepts
1) An uncle asks to borrow $500 today and promises to repay you $1,210 two years from now. To find the annual interest rate you would be agreeing to, you would search the second row in the: (PV of $1)
A) future value of $1 table, for the factor closest to 1.21.
B) present value of $1 table, for the factor closest to 0.82645.
C) present value of $1 table, for the factor closest to 1.21.
D) present value of an ordinary annuity of $1 table, for the factor closest to 1.21.
Difficulty: 2 Medium
Topic: Solve for unknown amount
Learning Objective: 05-04 Solve for either the interest rate or the number of compounding periods when present value and future value of a single amount are known.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: Keyboard Navigation
2) You want to invest $20,000 today to accumulate $32,000 for graduate school. If you can invest at an interest rate of 10% compounded annually. To find how many years will it take to accumulate the required amount, you would search the 10% column in the:
A) present value of $1 table, for the factor closest to 0.625.
B) future value of $1 table, for the factor closest to 1.6.
C) present value of $1 table, for the factor closest to 1.6.
D) present value of an ordinary annuity of $1 table, for the factor closest to 1.6.
Difficulty: 2 Medium
Topic: Solve for unknown amount
Learning Objective: 05-04 Solve for either the interest rate or the number of compounding periods when present value and future value of a single amount are known.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: Keyboard Navigation
3) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
You want to invest $20,000 today to accumulate $22,500 to buy a car. If you can invest at an interest rate of 3% compounded annually, how many years will it take to accumulate the required amount?
A) 3 years.
B) 4 years.
C) 5 years.
D) 6 years.
Difficulty: 3 Hard
Topic: Solve for unknown amount
Learning Objective: 05-04 Solve for either the interest rate or the number of compounding periods when present value and future value of a single amount are known.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: Keyboard Navigation
4) You want to invest $6,000 annually beginning now in order to accumulate $28,000 for a down payment on a house in five years. To find the annual interest rate you would need to receive to accomplish this goal, you would search the fifth row in the:
A) future value of a annuity due of $1 table, for the factor closest to 4.6667.
B) present value of an ordinary annuity of $1 table, for the factor closest to 0.2143.
C) present value of an annuity due of $1 table, for the factor closest to 4.6667.
D) future value of an ordinary annuity of $1 table, for the factor closest to 0.2143.
Difficulty: 2 Medium
Topic: Solve for unknown amount
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: Keyboard Navigation
5) Present and future value tables of $1 at 9% are presented below.
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.09000 | 0.91743 | 1.0000 | 1.0900 | 0.91743 | 1.00000 |
2 | 1.18810 | 0.84168 | 2.0900 | 2.2781 | 1.75911 | 1.91743 |
3 | 1.29503 | 0.77218 | 3.2781 | 3.5731 | 2.53129 | 2.75911 |
4 | 1.41158 | 0.70843 | 4.5731 | 4.9847 | 3.23972 | 3.53129 |
5 | 1.53862 | 0.64993 | 5.9847 | 6.5233 | 3.88965 | 4.23972 |
6 | 1.67710 | 0.59627 | 7.5233 | 8.2004 | 4.48592 | 4.88965 |
You want to invest $7,000 annually beginning now in order to accumulate $25,000 for a down payment on a house. If you can invest at an interest rate of 9% compounded annually, about how many years will it take to accumulate the required amount?
A) 3 years.
B) 4 years.
C) 5 years.
D) 6 years.
Difficulty: 3 Hard
Topic: Solve for unknown amount
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: Keyboard Navigation
6) Compound interest includes interest earned on interest.
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound
Learning Objective: 05-01 Explain the difference between simple and compound interest.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
7) When interest is compounded, the stated rate of interest exceeds the effective rate of interest.
Difficulty: 2 Medium
Topic: Basics of interest―Simple versus compound
Learning Objective: 05-01 Explain the difference between simple and compound interest.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
8) The calculation of future value requires the removal of interest.
Difficulty: 1 Easy
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
9) The calculation of present value eliminates interest from future cash flows.
Difficulty: 1 Easy
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
10) With an ordinary annuity, a payment is made or received on the date the agreement begins.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
11) In the future value of an ordinary annuity, the last cash payment will not earn any interest.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
12) An annuity consists of level principal payments plus interest on the unpaid balance.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
13) With an annuity due, a payment is made or received on the date the agreement begins.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
14) An annuity is a series of equal periodic payments.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
15) Given identical current amounts owed and identical interest rates, annual payments of an ordinary annuity will be greater than annual payments of an annuity due.
Difficulty: 2 Medium
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
16) Other things being equal, the present value of an annuity due will be less than the present value of an ordinary annuity.
Difficulty: 2 Medium
Topic: Present value of an ordinary annuity; Present value of an annuity due
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
17) A deferred annuity is one in which interest charges are deferred for a stated time period.
Difficulty: 1 Easy
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
18) Monetary assets include only cash and cash equivalents.
Difficulty: 1 Easy
Topic: Monetary assets and liabilities
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
19) Most, but not all, liabilities are monetary liabilities.
Difficulty: 1 Easy
Topic: Monetary assets and liabilities
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: FN Measurement / Keyboard Navigation
20) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Today, Thomas deposited $100,000 in a three-year, 12% CD that compounds quarterly. What is the maturity value of the CD?
A) $109,270.
B) $119,410.
C) $142,576.
D) $309,090.
Difficulty: 2 Medium
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
21) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Carol wants to invest money in a 6% CD account that compounds semiannually. Carol would like the account to have a balance of $50,000 five years from now. How much must Carol deposit to accomplish her goal?
A) $35,069.
B) $43,131.
C) $37,205.
D) $35,000.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
22) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Shane wants to invest money in a 6% CD account that compounds semiannually. Shane would like the account to have a balance of $100,000 four years from now. How much must Shane deposit to accomplish his goal?
A) $88,849.
B) $78,941.
C) $25,336.
D) $22,510.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
23) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Bill wants to give Maria a $500,000 gift in seven years. If money is worth 6% compounded semiannually, what is Maria's gift worth today?
A) $66,110.
B) $81,309.
C) $406,545.
D) $330,560.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
24) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Monica wants to sell her share of an investment to Barney for $50,000 in three years. If money is worth 6% compounded semiannually, what would Monica accept today?
A) $8,375.
B) $41,874.
C) $11,941.
D) $41,000.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
25) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
At the end of the next four years, a new machine is expected to generate net cash flows of $8,000, $12,000, $10,000, and $15,000, respectively. What are the (rounded) cash flows worth today if a 3% interest rate properly reflects the time value of money in this situation?
A) $41,556.
B) $39,982.
C) $32,400.
D) $38,100.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
26) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
At the end of each quarter, Patti deposits $500 into an account that pays 12% interest compounded quarterly. How much will Patti have in the account in three years?
A) $7,096.
B) $7,213.
C) $7,129.
D) $8,880.
Difficulty: 3 Hard
Topic: Future value of an ordinary annuity
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
27) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Sondra deposits $2,000 in an IRA account on April 15, 2021. Assume the account will earn 3% annually. If she repeats this for the next nine years, how much will she have on deposit on April 14, 2028?
A) $20,600.
B) $20,928.
C) $23,616.
D) $24,715.
Difficulty: 3 Hard
Topic: Future value of an annuity due
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
28) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Shelley wants to cash in her winning lottery ticket. She can either receive eight $100,000 semiannual payments starting today, or she can receive a single-amount payment today based on a 6% annual interest rate. What is the single-amount payment she can receive today?
A) $853,020.
B) $801,969.
C) $744,090.
D) $1,293,794.
Difficulty: 3 Hard
Topic: Present value of an annuity due
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
29) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
On January 1, 2021, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2023. You are eager to earn 3%. What is the present value of the investment on January 1, 2021?
A) $26,662.
B) $27,462.
C) $28,286.
D) $29,135.
Difficulty: 3 Hard
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
30) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
On January 1, 2021, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2024. You are eager to earn 3%. What is the present value of the investment on January 1, 2021?
A) $28,286.
B) $25,886.
C) $26,662.
D) $27,300.
Difficulty: 3 Hard
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
31) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Rosie's Florist borrows $300,000 to be paid off in six years. The loan payments are semiannual with the first payment due in six months, and interest is at 6%. What is the amount of each payment?
A) $25,750.
B) $29,761.
C) $30,139.
D) $25,500.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
32) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Jimmy has $255,906 accumulated in a 401K plan. The fund is earning a low, but safe, 3% per year. The withdrawals will take place at the end of each year starting a year from now. How soon will the fund be exhausted if Jimmy withdraws $30,000 each year?
A) 11 years.
B) 10 years.
C) 8.5 years.
D) 8.8 years.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
33) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Debbie has $368,882 accumulated in a 401K plan. The fund is earning a low, but safe, 3% per year. The withdrawals will take place annually starting today. How soon will the fund be exhausted if Debbie withdraws $30,000 each year?
A) 15 years.
B) 16 years.
C) 14 years.
D) 12.3 years.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
34) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Jose wants to cash in his winning lottery ticket. He can either receive five $5,000 annual payments starting today, or he can receive one lump-sum payment today based on a 3% annual interest rate. What would be the lump-sum payment?
A) $23,586.
B) $22,899.
C) $21,565.
D) $23,000.
Difficulty: 2 Medium
Topic: Present value of an annuity due
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
35) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
Micro Brewery borrows $300,000 to be repaid in equal installments over a period of three years. The loan payments are semiannual with the first payment due in six months, and interest is at 6%. What is the amount of each payment?
A) $55,379.
B) $106,059.
C) $30,138.
D) $60,276.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
36) Present and future value tables of $1 at 3% are presented below:
N | FV $1 | PV $1 | FVA $1 | PVA $1 | FVAD $1 | PVAD $1 |
1 | 1.03000 | 0.97087 | 1.0000 | 0.97087 | 1.0300 | 1.00000 |
2 | 1.06090 | 0.94260 | 2.0300 | 1.91347 | 2.0909 | 1.97087 |
3 | 1.09273 | 0.91514 | 3.0909 | 2.82861 | 3.1836 | 2.91347 |
4 | 1.12551 | 0.88849 | 4.1836 | 3.71710 | 4.3091 | 3.82861 |
5 | 1.15927 | 0.86261 | 5.3091 | 4.57971 | 5.4684 | 4.71710 |
6 | 1.19405 | 0.83748 | 6.4684 | 5.41719 | 6.6625 | 5.57971 |
7 | 1.22987 | 0.81309 | 7.6625 | 6.23028 | 7.8923 | 6.41719 |
8 | 1.26677 | 0.78941 | 8.8923 | 7.01969 | 9.1591 | 7.23028 |
9 | 1.30477 | 0.76642 | 10.1591 | 7.78611 | 10.4639 | 8.01969 |
10 | 1.34392 | 0.74409 | 11.4639 | 8.53020 | 11.8078 | 8.78611 |
11 | 1.38423 | 0.72242 | 12.8078 | 9.25262 | 13.1920 | 9.53020 |
12 | 1.42576 | 0.70138 | 14.1920 | 9.95400 | 14.6178 | 10.25262 |
13 | 1.46853 | 0.68095 | 15.6178 | 10.63496 | 16.0863 | 10.95400 |
14 | 1.51259 | 0.66112 | 17.0863 | 11.29607 | 17.5989 | 11.63496 |
15 | 1.55797 | 0.64186 | 18.5989 | 11.93794 | 19.1569 | 12.29607 |
16 | 1.60471 | 0.62317 | 20.1569 | 12.56110 | 20.7616 | 12.93794 |
A firm leases equipment under a long-term finance lease (analogous to an installment purchase) that calls for 12 semiannual payments of $39,014.40. The first payment is due at the inception of the lease. The annual rate on the lease is 6%. What is the value of the leased asset at inception of the lease?
A) $388,349.
B) $400,000.
C) $454,128.
D) $440,082.
Difficulty: 2 Medium
Topic: Present value application―Leases
Learning Objective: 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
37) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 1 is an interest table for the:
A) Present value of an ordinary annuity of $1.
B) Future value of an ordinary annuity of $1.
C) Present value of an annuity due of $1.
D) Future value of an annuity due of $1.
Difficulty: 3 Hard
Topic: Present value of an annuity due
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
38) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 2 is an interest table for the:
A) Present value of an ordinary annuity of $1.
B) Future value of an ordinary annuity of $1.
C) Present value of an annuity due of $1.
D) Future value of an annuity due of $1.
Difficulty: 3 Hard
Topic: Future value of an ordinary annuity
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
39) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 3 is an interest table for the:
A) Present value of $1.
B) Future value of $1.
C) Present value of an ordinary annuity of $1.
D) Present value of an annuity due of $1.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
40) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 4 is an interest table for the:
A) Present value of an ordinary annuity of $1.
B) Future value of an ordinary annuity of $1.
C) Present value of an annuity due of $1.
D) Future value of an annuity due of $1.
Difficulty: 3 Hard
Topic: Future value of an annuity due
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
41) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 5 is an interest table for the:
A) Present value of $1.
B) Future value of $1.
C) Present value of an ordinary annuity of $1.
D) Present value of an annuity due of $1.
Difficulty: 3 Hard
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
42) Below are excerpts from time value of money tables for the 8% rate.
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1.000 | 1.000 | 0.926 | 1.080 | 1.080 | 0.926 |
2 | 1.926 | 2.080 | 0.857 | 2.246 | 1.166 | 1.783 |
3 | 2.783 | 3.246 | 0.794 | 3.506 | 1.260 | 2.577 |
4 | 3.577 | 4.506 | 0.735 | 4.867 | 1.360 | 3.312 |
Column 6 is an interest table for the:
A) Present value of an ordinary annuity of $1.
B) Future value of an ordinary annuity of $1.
C) Present value of an annuity due of $1.
D) Future value of an annuity due of $1.
Difficulty: 2 Medium
Topic: Present value of an ordinary annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
43) Reba wishes to know how much would be in her savings account if she deposits a given sum in an account and leaves it there at 6% interest for five years. She should use a table for the:
A) Future value of an ordinary annuity of $1.
B) Future value of $1.
C) Future value of an annuity of $1.
D) Present value of an annuity due of $1.
Difficulty: 2 Medium
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
44) Present and future value tables of $1 at 9% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVAD of $1 | FVA of $1 |
1 | 0.91743 | 1.09000 | 0.91743 | 1.0900 | 1.0000 |
2 | 0.84168 | 1.18810 | 1.75911 | 2.2781 | 2.0900 |
3 | 0.77218 | 1.29503 | 2.53129 | 3.5731 | 3.2781 |
4 | 0.70843 | 1.41158 | 3.23972 | 4.9847 | 4.5731 |
5 | 0.64993 | 1.53862 | 3.88965 | 6.5233 | 5.9847 |
6 | 0.59627 | 1.67710 | 4.48592 | 8.2004 | 7.5233 |
Ajax Company purchased a five-year certificate of deposit for its building fund in the amount of $220,000. How much should the certificate of deposit be worth at the end of five years if interest is compounded at an annual rate of 9%?
A) $855,723.
B) $142,985.
C) $319,000.
D) $338,496.
Difficulty: 2 Medium
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
45) Present and future value tables of $1 at 9% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVAD of $1 | FVA of $1 |
1 | 0.91743 | 1.09000 | 0.91743 | 1.0900 | 1.0000 |
2 | 0.84168 | 1.18810 | 1.75911 | 2.2781 | 2.0900 |
3 | 0.77218 | 1.29503 | 2.53129 | 3.5731 | 3.2781 |
4 | 0.70843 | 1.41158 | 3.23972 | 4.9847 | 4.5731 |
5 | 0.64993 | 1.53862 | 3.88965 | 6.5233 | 5.9847 |
6 | 0.59627 | 1.67710 | 4.48592 | 8.2004 | 7.5233 |
How much must be invested now at 9% interest to accumulate to $10,000 in five years?
A) $9,176.
B) $6,499.
C) $5,500.
D) $5,960.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
46) Present and future value tables of $1 at 9% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVAD of $1 | FVA of $1 |
1 | 0.91743 | 1.09000 | 0.91743 | 1.0900 | 1.0000 |
2 | 0.84168 | 1.18810 | 1.75911 | 2.2781 | 2.0900 |
3 | 0.77218 | 1.29503 | 2.53129 | 3.5731 | 3.2781 |
4 | 0.70843 | 1.41158 | 3.23972 | 4.9847 | 4.5731 |
5 | 0.64993 | 1.53862 | 3.88965 | 6.5233 | 5.9847 |
6 | 0.59627 | 1.67710 | 4.48592 | 8.2004 | 7.5233 |
How much must be deposited at the beginning of each year to accumulate to $10,000 in four years if interest is at 9%?
A) $1,671.
B) $2,570.
C) $2,358.
D) $2,006.
Difficulty: 3 Hard
Topic: Future value of an annuity due
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
47) Present and future value tables of $1 at 9% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVAD of $1 | FVA of $1 |
1 | 0.91743 | 1.09000 | 0.91743 | 1.0900 | 1.0000 |
2 | 0.84168 | 1.18810 | 1.75911 | 2.2781 | 2.0900 |
3 | 0.77218 | 1.29503 | 2.53129 | 3.5731 | 3.2781 |
4 | 0.70843 | 1.41158 | 3.23972 | 4.9847 | 4.5731 |
5 | 0.64993 | 1.53862 | 3.88965 | 6.5233 | 5.9847 |
6 | 0.59627 | 1.67710 | 4.48592 | 8.2004 | 7.5233 |
Claudine Corporation will deposit $5,000 into a money market sinking fund at the end of each year for the next five years. How much will accumulate by the end of the fifth and final payment if the sinking fund earns 9% interest?
A) $32,617.
B) $29,924.
C) $27,250.
D) $26,800.
Difficulty: 2 Medium
Topic: Future value of an ordinary annuity
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
48) Present and future value tables of $1 at 9% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVAD of $1 | FVA of $1 |
1 | 0.91743 | 1.09000 | 0.91743 | 1.0900 | 1.0000 |
2 | 0.84168 | 1.18810 | 1.75911 | 2.2781 | 2.0900 |
3 | 0.77218 | 1.29503 | 2.53129 | 3.5731 | 3.2781 |
4 | 0.70843 | 1.41158 | 3.23972 | 4.9847 | 4.5731 |
5 | 0.64993 | 1.53862 | 3.88965 | 6.5233 | 5.9847 |
6 | 0.59627 | 1.67710 | 4.48592 | 8.2004 | 7.5233 |
Mustard's Inc. sold the rights to use one of its patented processes that will result in cash receipts of $2,500 at the end of each of the next four years and a lump sum receipt of $4,000 at the end of the fifth year. The total present value of these payments if interest is at 9% is:
A) $10,699.
B) $11,468.
C) $12,100.
D) $14,000.
PVA = $2,500 × 3.23972 (n = 4) | = | $ | 8,099 |
|
PV = $4,000 × 0.64993 (n = 5) | = |
| 2,600 |
|
|
| $ | 10,699 |
|
Difficulty: 3 Hard
Topic: Present value of an ordinary annuity; Present value of an annuity due
Learning Objective: 05-03 Compute the present value of a single amount.; 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
49) An investment product promises to pay $42,000 at the end of 10 years. If an investor feels this investment should produce a rate of return of 12%, compounded annually, what's the most the investor should be willing to pay for the investment? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $15,146.
B) $13,523.
C) $42,000.
D) $130,446.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
50) LeAnn wishes to know how much she should invest now at 7% interest in order to accumulate a sum of $5,000 in four years. She should use a table for the:
A) Present value of $1.
B) Future value of $1.
C) Present value of an ordinary annuity of $1.
D) Future value of an annuity due of $1.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
51) Present and future value tables of $1 at 11% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVA of $1 |
1 | 0.90090 | 1.11000 | 0.90090 | 1.0000 |
2 | 0.81162 | 1.23210 | 1.71252 | 2.1100 |
3 | 0.73119 | 1.36763 | 2.44371 | 3.3421 |
4 | 0.65873 | 1.51807 | 3.10245 | 4.7097 |
5 | 0.59345 | 1.68506 | 3.69590 | 6.2278 |
6 | 0.53464 | 1.87041 | 4.23054 | 7.9129 |
Spielberg Inc. signed a $200,000 noninterest-bearing note due in five years from a production company eager to do business. Comparable borrowings have carried an 11% interest rate. What is the value of this debt at its inception?
A) $200,000.
B) $178,000.
C) $118,690.
D) $222,000.
Difficulty: 2 Medium
Topic: Present value application―Notes
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
52) Present and future value tables of $1 at 11% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVA of $1 |
1 | 0.90090 | 1.11000 | 0.90090 | 1.0000 |
2 | 0.81162 | 1.23210 | 1.71252 | 2.1100 |
3 | 0.73119 | 1.36763 | 2.44371 | 3.3421 |
4 | 0.65873 | 1.51807 | 3.10245 | 4.7097 |
5 | 0.59345 | 1.68506 | 3.69590 | 6.2278 |
6 | 0.53464 | 1.87041 | 4.23054 | 7.9129 |
On October 1, 2021, Justine Company purchased equipment from Napa Inc. in exchange for a noninterest-bearing note payable in five equal annual payments of $500,000, beginning Oct 1, 2022. Similar borrowings have carried an 11% interest rate. The equipment would be recorded at:
A) $2,500,000.
B) $2,225,000.
C) $1,847,950.
D) $2,115,270.
Difficulty: 2 Medium
Topic: Present value of an ordinary annuity; Present value application--Notes
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.; 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
53) Present and future value tables of $1 at 11% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVA of $1 |
1 | 0.90090 | 1.11000 | 0.90090 | 1.0000 |
2 | 0.81162 | 1.23210 | 1.71252 | 2.1100 |
3 | 0.73119 | 1.36763 | 2.44371 | 3.3421 |
4 | 0.65873 | 1.51807 | 3.10245 | 4.7097 |
5 | 0.59345 | 1.68506 | 3.69590 | 6.2278 |
6 | 0.53464 | 1.87041 | 4.23054 | 7.9129 |
Titanic Corporation leased executive limousines under terms of $20,000 to be paid at the inception of the lease, and four equal annual payments of $30,000 to each be paid thereafter on the anniversary date of the lease. The interest rate implicit in the lease is 11%. The first year's interest expense would be:
A) $13,200.
B) $10,238.
C) $33,200.
D) $15,543.
Difficulty: 3 Hard
Topic: Present value application―Leases
Learning Objective: 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
54) Present and future value tables of 1 at 11% are presented below.
| PV of $1 | FV of $1 | PVA of $1 | FVA of $1 |
1 | 0.90090 | 1.11000 | 0.90090 | 1.0000 |
2 | 0.81162 | 1.23210 | 1.71252 | 2.1100 |
3 | 0.73119 | 1.36763 | 2.44371 | 3.3421 |
4 | 0.65873 | 1.51807 | 3.10245 | 4.7097 |
5 | 0.59345 | 1.68506 | 3.69590 | 6.2278 |
6 | 0.53464 | 1.87041 | 4.23054 | 7.9129 |
Polo Publishers purchased a multi-color offset press with terms of $50,000 to be paid at the date of purchase, and a noninterest-bearing note requiring payment of $20,000 at the end of each year for five years. The interest rate implicit in the purchase contract is 11%. Polo would record the asset at:
A) $73,918.
B) $123,918.
C) $130,000.
D) $169,560.
Difficulty: 3 Hard
Topic: Present value application―Notes
Learning Objective: 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
55) Mary Alice just won the lottery and is trying to decide between the options of receiving the annual cash flow payment option of $250,000 per year for 25 years beginning today, or receiving one lump-sum amount today. Mary Alice can earn 6% investing this money. At what lump-sum payment amount would she be indifferent between the two alternatives? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $6,250,000.
B) $3,195,840.
C) $3,637,590.
D) $3,387,590.
Difficulty: 3 Hard
Topic: Present value of an annuity due
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: BB Resource Management / Keyboard Navigation
56) An investor purchases a 20-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is 5%, what is the current market value of the bond? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $828.
B) $1,686.
C) $1,000.
D) $893.
$40 × 17.15909* | = | $ | 686 |
|
$1,000 × 0.14205** | = |
| 142 |
|
|
| $ | 828 |
|
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
57) A series of equal periodic payments that starts more than one period after the agreement is called:
A) An annuity due.
B) An ordinary annuity.
C) A future annuity.
D) A deferred annuity.
Difficulty: 1 Easy
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
58) A series of equal periodic payments in which the first payment is made one compounding period after the date of the contract is:
A) A deferred annuity.
B) An ordinary annuity.
C) An annuity due.
D) A delayed annuity.
Difficulty: 1 Easy
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
59) Loan A has the same original principal, interest rate, and payment amount as Loan B. However, Loan A is structured as an annuity due, while Loan B is structured as an ordinary annuity. The maturity date of Loan A will be:
A) Earlier than Loan B.
B) Later than Loan B.
C) The same as Loan B.
D) Indeterminate with respect to Loan B.
Difficulty: 2 Medium
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
60) To determine the future value factor for an annuity due for period n when given tables only for an ordinary annuity:
A) Obtain the FVA factor for n + 1 and deduct 1.
B) Obtain the FVA factor for n and deduct 1.
C) Obtain the FVA factor for n - 1 and add 1.
D) Obtain the FVA factor for n + 1 and add 1.
Difficulty: 3 Hard
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
61) Yamaha Inc. hires a new chief financial officer and promises to pay him a lump-sum bonus four years after he joins the company. The new CFO insists that the company invest an amount of money at the beginning of each year in a 7% fixed rate investment fund to insure the bonus will be available. To determine the amount that must be invested each year, a computation must be made using the formula for:
A) The future value of a deferred annuity.
B) The future value of an ordinary annuity.
C) The future value of an annuity due.
D) None of these answer choices are correct.
Difficulty: 2 Medium
Topic: Future value of an annuity due
Learning Objective: 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
62) Zulu Corporation hires a new chief executive officer and promises to pay her a signing bonus of $2 million per year for 10 years, starting five years after she joins the company. The liability for this bonus when the CEO is hired:
A) Is the present value of a deferred annuity.
B) Is the present value of an annuity due.
C) Is $20 million.
D) Is zero because no cash is owed for five years.
Difficulty: 2 Medium
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
63) Which of the following must be known in order to compute the interest rate when financing an asset purchase with an annuity?
A) Fair value of the asset purchased, number and dollar amount of the annuity payments.
B) Present value of the annuity, dollar amount and timing of the annuity payments.
C) Fair value of the asset and timing of the annuity payments.
D) Number of annuity payments and future value of the annuity.
Difficulty: 2 Medium
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
64) Davenport Inc. offers a new employee a single-sum signing bonus at the date of employment. Alternatively, the employee can receive $30,000 at the date of employment and another $50,000 two years later. Assuming the employee's time value of money is 8% annually, what single sum at the employment date would make her indifferent between the two options? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $60,000.
B) $62,867.
C) $72,867.
D) $80,000.
Difficulty: 3 Hard
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Decision Making / Keyboard Navigation
65) Quaker State Inc. offers a new employee a single-sum signing bonus at the date of employment. Alternatively, the employee can receive $8,000 at the date of employment plus $20,000 at the end of each of his first three years of service. Assuming the employee's time value of money is 10% annually, what lump sum at employment date would make him indifferent between the two options? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $23,026.
B) $57,737.
C) $62,711.
D) None of these answer choices are correct.
Difficulty: 3 Hard
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Decision Making / Keyboard Navigation
66) Garland Inc. offers a new employee a single-sum signing bonus at the date of employment, June 1, 2021. Alternatively, the employee can receive $39,000 at the date of employment plus $10,000 each June 1 for five years, beginning in 2025. Assuming the employee's time value of money is 9% annually, what single amount at the employment date would make the options equally desirable? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $44,035.
B) $40,855.
C) $69,035.
D) $65,855.
Difficulty: 3 Hard
Topic: Present value of a deferred annuity
Learning Objective: 05-08 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Decision Making / Keyboard Navigation
67) On January 1, 2021, Glanville Company sold goods to Otter Corporation. Otter signed an installment note requiring payment of $15,000 annually for six years. The first payment was made on January 1, 2021. The prevailing rate of interest for this type of note at date of issuance was 8%.
Glanville should record sales revenue in January 2021 of: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $90,000.
B) $69,343.
C) $74,891.
D) None of these answer choices are correct.
Difficulty: 2 Medium
Topic: Present value of an annuity due; Present value application--Notes
Learning Objective: 05-10 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, installment notes, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
68) Loan C has the same principal amount, payment amount, and maturity date as Loan D. However, Loan C is structured as an annuity due, while Loan D is structured as an ordinary annuity. Loan C's interest rate is:
A) Higher than Loan D.
B) Less than Loan D.
C) The same as Loan D.
D) Indeterminate compared to Loan D.
Difficulty: 3 Hard
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-06 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
69) Tammy wants to buy a car that costs $10,000 and wishes to know the amount of the monthly payments, which will be made at the first of the month, with interest of 12% on the unpaid balance. She should use a table for the:
A) Present value of $1.
B) Present value of an ordinary annuity of $1.
C) Present value of an annuity due of $1.
D) Future value of an annuity due of $1.
Difficulty: 1 Easy
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
70) George Jones is planning on a cruise for his 70th birthday party. He wants to know how much he should set aside at the beginning of each month at 6% interest to accumulate the sum of $4,800 in five years. He should use a table for the:
A) Future value of an ordinary annuity of $1.
B) Future value of an annuity due of $1.
C) Future value of $1.
D) Present value of an annuity due of $1.
Difficulty: 1 Easy
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
71) Sandra won $5,000,000 in the state lottery, which she has elected to receive at the end of each month over the next 30 years. She will receive 7% interest on unpaid amounts. To determine the amount of her monthly check, she should use a table for the:
A) Present value of an annuity due of $1.
B) Future value of an annuity due of $1.
C) Present value of an ordinary annuity of $1.
D) Future value of an ordinary annuity of $1.
Difficulty: 2 Medium
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
72) First Financial Auto Loan Department wishes to know the payment required at the first of each month on a $10,500, 48-month, 11% auto loan. To determine this amount, First Financial would:
A) Multiply $10,500 by the present value of $1.
B) Divide $10,500 by the future value of an ordinary annuity of $1.
C) Divide $10,500 by the present value of an annuity due of $1.
D) Multiply $10,500 by the present value of an ordinary annuity of $1.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: BB Critical Thinking / Keyboard Navigation
73) Koko Company pays $10 million at the beginning of each year for 10 years to Mocha Inc. in exchange for a building that now has a fair value of $75 million. What interest rate is Mocha earning on financing this land sale? (PV of $1 and PVAD of $1)
A) Between 13% and 14%.
B) Between 7% and 8%.
C) Between 5.5% and 6%.
D) Cannot be determined from the given information.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
74) Kunkle Company wishes to earn 20% annually on its investments. If Kunkle makes an investment that equals or exceeds that rate, it considers it a success. Assume that Kunkle invests $2 million and gets $500,000 in return at the end of each year for X years. What is the minimum value of X (number of years) for which Kunkle will consider the investment a success? Assume that Kunkle can't invest for fractional parts of a year. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) 4 years.
B) 6 years.
C) 7 years.
D) 9 years.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Analyze
AACSB: Analytical Thinking
AICPA/Accessibility: FN Measurement / Keyboard Navigation
75) Chancellor Ltd. sells an asset with a $1 million fair value to Sophie Inc. Sophie agrees to make six equal payments, each to be paid one year apart, commencing on the date of sale. The payments include principal and 6% annual interest. Compute the annual payments. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $166,651.
B) $135,252.
C) $203,351.
D) $191,852.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
76) You borrow $20,000 to buy a boat. The loan is to be paid off in monthly installments over one year at 18% interest annually. The first payment is due one month from today. What is the amount of each monthly payment? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $1,667.
B) $1,511.
C) $1,834.
D) None of these answer choices are correct.
Difficulty: 3 Hard
Topic: Solve for unknown values--Annuity
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Analytical Thinking
AICPA/Accessibility: FN Measurement / Keyboard Navigation
77) Fenland Co. plans to retire $100 million in bonds in five years, so it wishes to fund a savings account at the beginning of each year during that period for which it expects to earn 8% annually. At the end of the five years, there will be enough money in the account to pay off the bonds. What amount does Fenland need to invest each year? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
A) $15,783,077.
B) $17,045,650.
C) $23,190,400.
D) Cannot be determined from the given information.
Difficulty: 3 Hard
Topic: Future value of an annuity due
Learning Objective: 05-09 Solve for unknown values in annuity situations involving present value.; 05-07 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement / Keyboard Navigation
78) Listed below are 5 terms followed by a list of phrases that describe or characterize each of the terms. Match each phrase with the number for the correct term.
TERM | PHRASE | NUMBER |
1. Future value | A dollar now is worth more than a dollar later. | ___ |
2. Future value of an annuity due | A series of equal periodic payments. | ___ |
3. Annuity | Accumulation of a series of equal payments with the last payment accruing interest. | ___ |
4. Future value of an ordinary annuity | Accumulation of a series of equal payments with the last payment accruing no interest. | ___ |
5. Time value of money | Accumulation of an amount with interest. | ___ |
TERM | PHRASE | NUMBER |
1. Future value | A dollar now is worth more than a dollar later. | 5 |
2. Future value of an annuity due | A series of equal periodic payments. | 3 |
3. Annuity | Accumulation of a series of equal payments with the last payment accruing interest. | 2 |
4. Future value of an ordinary annuity | Accumulation of a series of equal payments with the last payment accruing no interest. | 4 |
5. Time value of money | Accumulation of an amount with interest. | 1 |
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound; Basics of ordinary annuity and annuity due
Learning Objective: 05-01 Explain the difference between simple and compound interest.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
79) Listed below are 5 terms followed by a list of phrases that describe or characterize each of the terms. Match each phrase with the number for the correct term.
TERM | PHRASE | NUMBER |
1. Monetary asset | Amount today equivalent to a specified future amount. | ___ |
2. Present value of an annuity due | Its amount is not fixed or determinable. | ___ |
3. Present value of a single amount | Based on initial investment only. | ___ |
4. Simple interest | Claim to a fixed amount of cash. | ___ |
5. Nonmonetary asset | Current worth of a series of equal payments received at the beginning of a period. | ___ |
TERM | PHRASE | NUMBER |
1. Monetary asset | Amount today equivalent to a specified future amount. | 3 |
2. Present value of an annuity due | Its amount is not fixed or determinable. | 5 |
3. Present value of a single amount | Based on initial investment only. | 4 |
4. Simple interest | Claim to a fixed amount of cash. | 1 |
5. Nonmonetary asset | Current worth of a series of equal payments received at the beginning of a period. | 2 |
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound; Basics of ordinary annuity and annuity due; Monetary assets and liabilities
Learning Objective: 05-01 Explain the difference between simple and compound interest.; 05-03 Compute the present value of a single amount.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
80) Listed below are 5 terms followed by a list of phrases that describe or characterize each of the terms. Match each phrase with the number for the correct term.
TERM | PHRASE | NUMBER |
1. Present value of an ordinary annuity | Current worth of a series of equal payments received at the end of a period. | ___ |
2. Effective yield | Current worth of future cash flow(s). | ___ |
3. Monetary liability | Fixed obligation to pay an amount in cash. | ___ |
4. Compound interest | Interest accumulates on interest. | ___ |
5. Present value | The rate at which money will actually grow. | ___ |
TERM | PHRASE | NUMBER |
1. Present value of an ordinary annuity | Current worth of a series of equal payments received at the end of a period. | 1 |
2. Effective yield | Current worth of future cash flow(s). | 5 |
3. Monetary liability | Fixed obligation to pay an amount in cash. | 3 |
4. Compound interest | Interest accumulates on interest. | 4 |
5. Present value | The rate at which money will actually grow. | 2 |
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound; Basics of ordinary annuity and annuity due; Monetary assets and liabilities
Learning Objective: 05-01 Explain the difference between simple and compound interest.; 05-03 Compute the present value of a single amount.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
81) Listed below are 5 terms followed by a list of phrases that describe or characterize each of the terms. Match each phrase with the number for the correct term.
TERM | PHRASE | NUMBER |
1. Future value of a single amount | Rent paid or received for the use of money. | ___ |
2. Annuity due | Series of equal cash payments received at the beginning of each period. | ___ |
3. Interest | Series of equal cash payments received at the end of each period. | ___ |
4. Ordinary annuity | Series of equal cash payments with the first cash payment more than one period after the contract date. | ___ |
5. Deferred annuity | The money to which an amount invested will grow over time. | ___ |
TERM | PHRASE | NUMBER |
1. Future value of a single amount | Rent paid or received for the use of money. | 3 |
2. Annuity due | Series of equal cash payments received at the beginning of each period. | 2 |
3. Interest | Series of equal cash payments received at the end of each period. | 4 |
4. Ordinary annuity | Series of equal cash payments with the first cash payment more than one period after the contract date. | 5 |
5. Deferred annuity | The money to which an amount invested will grow over time. | 1 |
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound; Future value of a single amount; Basics of ordinary annuity and annuity due; Present value of a deferred annuity
Learning Objective: 05-01 Explain the difference between simple and compound interest.; 05-02 Compute the future value of a single amount.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
82) Listed below are columns of time value of money tables for a 9% rate, followed by labels for five of the columns. Match the columns with their appropriate labels by placing the letter designating the column in the space provided by the label.
A B C D E F
1 1.090 0.917 1.000 0.917 1.000 1.090
2 1.188 1.759 1.917 0.842 2.090 2.278
3 1.295 2.531 2.759 0.772 3.278 3.573
________ Present value of an annuity due of $1
________ Future value of an annuity due of $1
________ Present value of $1
________ Future value of $1
________ Present value of an ordinary annuity of $1
Difficulty: 3 Hard
Topic: Future value of a single amount; Present value of a single amount; Basics of ordinary annuity and annuity due; Future value of an annuity due; Present value of an ordinary annuity; Present value of an annuity due
Learning Objective: 05-02 Compute the future value of a single amount.; 05-03 Compute the present value of a single amount.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.; 05-06 Compute the future value of both an ordinary annuity and an annuity due.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
83) Listed below are 10 terms followed by a list of phrases that describe or characterize the terms. Match each phrase with the number for the correct term.
TERM | PHRASE | NUMBER |
1. Deferred annuity | Amount of money required today that is equivalent to a given future amount. | ____ |
2. Future value of an annuity due | The amount of money that a dollar will grow to. | ____ |
3. Annuity | First cash flow occurs on the first day of the agreement. | ____ |
4. Monetary asset | Claim to a fixed amount of cash. | ____ |
5. Expected cash flow approach | Present value of equal-sized cash flows beginning at the end of the period. | ____ |
6. Present value of a single amount | The first cash flow occurs more than one period after the date of the agreement. | ____ |
7. Future value of a single amount | The rate to use is the risk-free rate of interest. | ____ |
8. Annuity due | A series of equal-sized cash flows. | ____ |
9. Present value of an ordinary annuity | Future value of equal-sized cash flows starting at the beginning of the period. | ____ |
10. Interest | Amount of money paid/received in excess of the amount borrowed/lent. | ____ |
TERM | PHRASE | NUMBER |
1. Deferred annuity | Amount of money required today that is equivalent to a given future amount. | 6 |
2. Future value of an annuity due | The amount of money that a dollar will grow to. | 7 |
3. Annuity | First cash flow occurs on the first day of the agreement. | 8 |
4. Monetary asset | Claim to a fixed amount of cash. | 4 |
5. Expected cash flow approach | Present value of equal-sized cash flows beginning at the end of the period. | 9 |
6. Present value of a single amount | The first cash flow occurs more than one period after the date of the agreement. | 1 |
7. Future value of a single amount | The rate to use is the risk-free rate of interest. | 5 |
8. Annuity due | A series of equal-sized cash flows. | 3 |
9. Present value of an ordinary annuity | Future value of equal-sized cash flows starting at the beginning of the period. | 2 |
10. Interest | Amount of money paid/received in excess of the amount borrowed/lent. | 10 |
Difficulty: 1 Easy
Topic: Basics of interest―Simple versus compound; Future value of a single amount; Basics of ordinary annuity and annuity due; Monetary assets and liabilities; Present value of an ordinary annuity; Present value of a deferred annuity; Present value application―Bonds; Present value application―Leases; Present value application―Pensions
Learning Objective: 05-01 Explain the difference between simple and compound interest.; 05-02 Compute the future value of a single amount.; 05-03 Compute the present value of a single amount.; 05-05 Explain the difference between an ordinary annuity and an annuity due situation.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.; 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
Use this information to answer the following questions:
The note about debt included in the financial statements of Healdsburg Company for the year ended December 31, 2020 disclosed the following:
Debt. The following table summarizes the long-term debt of the Company at December 31, 2020. All of the notes were originally issued at their face (maturity) value and have been gradually repaid over time so that these amounts are the remaining balances at this date.
7.25% notes due 2021 $201,335,000
7.75% notes due 2028 $345,154,000
8% notes due 2035 $225,000,000
7.63% notes due 2040 $200,000,000
6.55% notes due 2022 $ 25,000,000
Required: Assuming that the notes pay interest annually and mature on December 31 of the respective years, compute the following:
84) The total cash interest payments in 2021 for these notes.
Difficulty: 3 Hard
Topic: Basics of interest―Simple versus compound
Learning Objective: 05-01 Explain the difference between simple and compound interest.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
85) Suppose that Healdsburg wants to pay off the 7.75% notes on December 31, 2021, (i.e., five years early) when the going interest rate is 6%, thereby retiring the $345,154,000 in debt. How much would Healdsburg have to pay for the notes (principal only) on this date in order to satisfy the noteholders?
Difficulty: 3 Hard
Topic: Present value application―Notes
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
86) Suppose that Healdsburg renegotiates the 8% notes on December 31, 2026, when the going interest rate is 8%. Healdsburg agrees to make 12 equal annual installments, commencing on December 31, 2027, rather than pay the annual interest payments and the $225 million in a single amount at maturity. What would the annual payments be?
Difficulty: 3 Hard
Topic: Solve for unknown values―Annuity; Present value application―Notes
Learning Objective: 05-08 Solve for unknown values in annuity situations involving present value.; 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
87) Suppose that Healdsburg enters into a sales contract with an auto manufacturer on January 1, 2021, to provide tires that cost Healdsburg $18 million to produce. The buyer offers Healdsburg $6 million in cash and agrees to take over only the principal payment on Healdsburg's 6.55% debt notes. Assume that the going market interest is 7% at the time. What would Healdsburg's gross profit be on the sale?
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
88) Touche Manufacturing is considering a rearrangement of its manufacturing operations. A consultant estimates that the rearrangement should result in cash savings of $6,000 the first year, $10,000 for the next two years, and $12,000 for the next two years. Interest is at 12%. Assume cash flows occur at the end of the year.
Required: Calculate the total present value of the cash flows.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
89) Price Mart is considering outsourcing its billing operations. A consultant estimates that outsourcing should result in cash savings of $9,000 the first year, $15,000 for the next two years, and $18,000 for the next two years. Interest is at 12%. Assume cash flows occur at the end of the year.
Required: Calculate the total present value of the cash flows.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
90) Baird Bros. Construction is considering the purchase of a machine at a cost of $125,000. The machine is expected to generate cash flows of $20,000 per year for 10 years and can be sold at the end of 10 years for $10,000. Interest is at 10%. Assume the machine purchase would be paid for on the first day of year one, but that all other cash flows occur at the end of the year. Ignore income tax considerations.
Required: Determine whether Baird should purchase the machine.
Difficulty: 3 Hard
Topic: Present value of a single amount; Present value of an ordinary annuity
Learning Objective: 05-03 Compute the present value of a single amount.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Evaluate
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement; FN Decision Making
91) Incognito Company is contemplating the purchase of a machine that provides it with cash savings of $80,000 per year for five years. Interest is 8%. Assume the cash savings occur at the end of each year.
Required: Calculate the present value of the cash savings.
Difficulty: 2 Medium
Topic: Present value of an ordinary annuity
Learning Objective: 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
92) Under the NBA deferred compensation plan, payments made at the end of each year accumulate up to retirement and then retirees are given two options. Option 1 allows the retiree to select the amount of the annual payment to be received, and option 2 allows the retiree to specify over how many years payments are to be received. Assume Hardaway has had $6,000 deposited at the end of each year for 30 years, and that the long-term interest rate has been 8%.
Required:
a. How much has accumulated in Hardaway's deferred compensation account?
b. How much will Hardaway be able to withdraw at the beginning of each year if he elects to receive payments for 15 years?
c. How many years will Hardaway be able to receive payments if he chooses to receive $65,000 per year at the beginning of each year?
Difficulty: 3 Hard
Topic: Future value of an ordinary annuity; Present value of a deferred annuity; Solve for unknown values―Annuity
Learning Objective: 05-06 Compute the future value of both an ordinary annuity and an annuity due.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.; 05-08 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
93) ABC Company will issue $5,000,000 in 6%, 10-year bonds when the market rate of interest is 8%. Interest is paid semiannually.
Required: Determine how much cash ABC Company will realize from the bond issue.
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
94) Taylor's tractor-trailer rigs sell for $150,000. A customer wishes to buy a rig on a lease purchase plan over seven years, with the first payment to be made at the inception of the lease. Interest is at 12%.
Required:
a. Compute the amount of the annual lease payment and the gross amount (total payments) due under the lease.
b. Compute the amount of interest income earned by Taylor's for the first year of the lease.
Difficulty: 3 Hard
Topic: Present value application―Leases
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
95) Titan Corporation has a defined benefit pension plan. One of its employees has vested benefits under the plan, which will pay her $30,000 annually for life starting with the first $30,000 payment on the day she retires at the age of 65. The employee has just reached the age of 45. Titan consulted standard mortality tables to come up with a life expectancy of 80 for this employee. The implicit interest rate under the plan is 9%.
Required:
a. What will be the present value of the pension obligation at the time of the employee's retirement?
b. What is the present value of the pension obligation at the current time?
Difficulty: 3 Hard
Topic: Present value application―Pensions
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
96) On September 30, 2021, Truckee Garbage leased equipment from a supplier and agreed to pay $125,000 annually for 15 years beginning September 30, 2022. Generally accepted accounting principles require that a liability be recorded for this lease agreement for the present value of scheduled payments. Accordingly, at inception of the lease, Truckee recorded a $1,214,031 lease liability
Required:
Determine the interest rate implicit in the lease agreement.
Difficulty: 3 Hard
Topic: Solve for unknown values―Annuity; Present value application―Leases
Learning Objective: 05-08 Solve for unknown values in annuity situations involving present value.; 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
97) Determine the price of a $200,000 bond issue under each of the following independent assumptions:
Maturity Interest Paid Stated Rate Effective Rate
1. 10 years annually 10% 12%
2. 10 years semiannually 10% 12%
3. 20 years semiannually 12% 12%
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
98) Determine the price of a $500,000 bond issue under each of the following independent assumptions:
Maturity Interest Paid Stated Rate Effective Rate
1. 10 years annually 10% 12%
2. 10 years semiannually 10% 12%
3. 20 years semiannually 12% 10%
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
99) On January 1, 2021, Bishop Company issued 10% bonds dated January 1, 2021, with a face amount of $20 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 12%. Interest is paid semiannually on June 30 and December 31.
Required: Determine the price of the bonds at January 1, 2021.
Difficulty: 2 Medium
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
100) On January 1, 2021, Mania Enterprises issued 12% bonds dated January 1, 2021, with a face amount of $20 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 10%. Interest is paid semiannually on June 30 and December 31.
Required: Determine the price of the bonds at January 1, 2021.
Difficulty: 2 Medium
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
101) On January 1, 2021, Shirley Corporation purchased 10% bonds dated January 1, 2021, with a face amount of $10 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 12%. Interest is paid semiannually on June 30 and December 31.
Required: Determine the price of the bonds at January 1, 2021.
Difficulty: 2 Medium
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
102) On January 1, 2021, Rare Bird Ltd. purchased 12% bonds dated January 1, 2021, with a face amount of $20 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 10%. Interest is paid semiannually on June 30 and December 31.
Required: Determine the price of the bonds at January 1, 2021.
Difficulty: 2 Medium
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
103) Pockets lent $20,000 to Lego Construction on January 1, 2021. Lego signed a three-year, 5% installment note to be paid in three equal payments at the end of each year.
Required: Calculate the amount of one installment payment.
Difficulty: 2 Medium
Topic: Present value application―Notes
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
104) Adam Baum Company borrowed $48,000 from B. A. Ware on January 1, 2021, and signed a three-year, 6% installment note to be paid in three equal payments at the end of each year. The present value of an ordinary annuity of $1 for 3 periods at 6% is 2.67301.
Required: Calculate the amount of one installment payment.
Difficulty: 2 Medium
Topic: Present value application―Notes
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
105) Each of the independent situations below describes a finance lease in which annual lease payments are payable at the beginning of each year. The lessee is aware of the lessor's implicit interest rate.
Situation
1 2
Lease term 10 yrs 20 yrs
Lessor's desired
rate of return 10% 12%
Lessee's incremental
borrowing rate 12% 10%
Fair value of asset $600,000 $400,000
For convenience, here are some table values:
Periods; int. rate PV, ordinary annuity PV, annuity due
10 periods, 10% 6.1446 6.7590
10 periods, 12% 5.6502 6.3283
20 periods, 10% 8.5136 9.3649
20 periods, 12% 7.4694 8.3658
Required: For each situation determine the amount of the annual lease payment, as calculated by the lessor.
Difficulty: 3 Hard
Topic: Present value application―Leases
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
106) Diablo Company leased a machine from Juniper Corporation on January 1, 2021. The machine has a fair value of $20,000,000. The lease agreement calls for four equal payments at the end of each year. The useful life of the machine was expected to be four years with no residual value. The appropriate interest rate for this lease is 10%.
Other information:
PV of an ordinary annuity @10% for 4 periods: 3.16987
PV of an annuity due @ 10% for 4 periods: 3.48685
Required: Determine the amount of each lease payment.
Difficulty: 2 Medium
Topic: Present value application―Leases
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
107) Each of the independent situations below describes a finance lease in which annual lease payments are payable at the beginning of each year. The lessee is aware of the lessor's implicit interest rate.
Situation 1 Situation 2
Lease term 10 yrs 20 yrs
Lessor's desired rate of return 10% 12%
For convenience, here are some table values:
Periods; int. rate PV, ordinary annuity PV, annuity due
10 periods, 10% 6.1446 6.7590
10 periods, 12% 5.6502 6.3283
20 periods, 10% 8.5136 9.3649
20 periods, 12% 7.4694 8.3658
Required: For each situation determine the amount recorded as a liability by the lessee at the beginning of the lease.
Difficulty: 3 Hard
Topic: Present value application―Leases
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
108) Compute the future value of the following invested amounts at the specified periods and interest rates.
Invested Interest Number of
Item Amount Rate Periods
a. $20,000 8% 10
b. $30,000 4% 8
c. $10,000 12% 15
Difficulty: 2 Medium
Topic: Future value of a single amount
Learning Objective: 05-02 Compute the future value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
109) Compute the present value of the following single amounts to be received at the end of the specified period at the given interest rate.
Invested Interest Number of
Item Amount Rate Periods
a. $40,000 7% 20
b. $20,000 6% 25
c. $50,000 11% 10
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
110) DON Corp. is contemplating the purchase of a machine that will produce cash savings of $20,000 per year for five years. At the end of five years, the machine can be sold to realize cash flows of $5,000. Interest is 12%. Assume the cash flows occur at the end of each year.
Required: Calculate the total present value of the cash savings.
Difficulty: 3 Hard
Topic: Present value of a single amount; Present value of an ordinary annuity
Learning Objective: 05-03 Compute the present value of a single amount.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
111) Dobson Contractors is considering buying equipment at a cost of $75,000. The equipment is expected to generate cash flows of $15,000 per year for eight years and can be sold at the end of eight years for $5,000. Interest is at 12%. Assume the equipment purchase would be paid for on the first day of year one, but that all other cash flows occur at the end of the year. Ignore income tax considerations.
Required: Determine whether Dobson should purchase the machine.
Difficulty: 3 Hard
Topic: Present value of a single amount; Present value of an ordinary annuity
Learning Objective: 05-03 Compute the present value of a single amount.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Evaluate
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement; FN Decision Making
112) Hillsdale is considering two options for comparable computer software. Option A will cost $25,000 plus annual license renewals of $1,000 for three years, which includes technical support. Option B will cost $20,000 with technical support being an add-on charge. The estimated cost of technical support is $4,000 the first year, $3,000 the second year, and $2,000 the third year. Assume the software is purchased and paid for at the beginning of year one, but that technical support is paid for at the end of each year. Interest is at 8%. Ignore income taxes.
Required: Determine which option should be chosen based on present value considerations.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Evaluate
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement; FN Decision Making
113) Bison Mfg. is considering two options for purchasing comparable machinery. Machine 1 will cost $27,500 plus an annual maintenance fee of $1,500 per year for four years. Machine 2 will cost $25,000 with maintenance being an add-on charge. The estimated cost of maintenance is $1,000 the first year, $3,000 the second year, and $4,000 the third year and the fourth year. Assume the purchase cost is paid the same day as buying the machinery, but that maintenance is paid for at the end of each year. Interest is at 10%. Ignore income taxes and residual values.
Required: Determine which machine should be chosen based on present value considerations.
Difficulty: 3 Hard
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Evaluate
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement; FN Decision Making
114) On May 1, 2021, Bo Smith, proud father of newborn son Bobo, purchased $200,000 in zero-coupon bonds that mature on May 1, 2038. The bonds pay no interest during the period of time they are outstanding. The interest rate for such borrowings is at 9%. Interest compounds annually.
Required: Calculate the price Bo paid for the bonds.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
115) On February 1, 2021, Lynda Brown, proud mother of newborn daughter Goldie, purchased $600,000 in zero-coupon bonds that mature on February 1, 2038. The bonds pay no interest during the period of time they are outstanding. The interest rate for such borrowings is at 12%.
Required: Calculate the price Lynda paid for the bonds.
Difficulty: 2 Medium
Topic: Present value of a single amount
Learning Objective: 05-03 Compute the present value of a single amount.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
116) On the last day of its fiscal year ending December 31, 2021, the Boatright Ship Builders completed two financing arrangements. The funds provided by these initiatives will allow the company to expand its operations.
1. Boatright issued 6% stated rate bonds with a face amount of $200 million. The bonds mature on December 31, 2038 (20 years). The market rate of interest for similar bond issues was 8% (4% semiannual rate). Interest is paid semiannually (3%) on June 30 and December 31, beginning on June 30, 2022.
2. The company leased two manufacturing facilities. Lease A requires 10 annual lease payments of $50,000 beginning on January 1, 2022. Lease B also is for 10 years, beginning January 1, 2022. Terms of the lease require seven annual lease payments of $60,000 beginning on
January 1, 2025. Accounting standards require both leases to be recorded as liabilities for the present value of the scheduled payments. Assume that an 8% interest rate properly reflects the time value of money for the lease obligations.
Required:
What amounts will appear in Boatright's December 31, 2021, balance sheet for the bonds and for the leases?
Difficulty: 3 Hard
Topic: Present value of a single amount; Present value of an ordinary annuity; Present value of an annuity due; Present value of a deferred annuity; Present value application―Bonds; Present value application―Leases
Learning Objective: 05-03 Compute the present value of a single amount.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.; 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
117) White & Decker Corporation's 2021 financial statements included the following information in the long-term debt disclosure note:
($ in millions)
2021
Zero-coupon subordinated debentures, due 2033: $275
The disclosure note stated the debenture bonds were issued late in 2013 and have a maturity value of $500 million. The maturity value indicates the amount that White & Decker will pay bondholders in 2033. Each individual bond has a maturity value (face amount) of $1,000. Zero-coupon bonds pay no cash interest during the term to maturity. The company is "accreting" (gradually increasing) the issue price to maturity value using the bonds' effective interest rate computed on an annual basis.
Required:
1. Determine the effective interest rate on the bonds.
2. Determine the issue price in late 2013 of a single, $1,000 maturity-value bond.
Difficulty: 3 Hard
Topic: Present value of a single amount; Solve for interest rate―Single amount; Present value application―Bonds
Learning Objective: 05-03 Compute the present value of a single amount.; 05-04; 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
118) Samson Inc. is contemplating the purchase of a machine that will provide it with cash savings of $100,000 per year for eight years. Interest is 10%. Assume the cash savings occur at the end of each year.
Required: Calculate the present value of the cash savings.
Difficulty: 2 Medium
Topic: Present value of an ordinary annuity
Learning Objective: 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
119) Under the MLB deferred compensation plan, payments made at the end of each year accumulate up to retirement and then retirees are given two options. Option 1 allows the retiree to select the amount of the annual payment to be received, and option 2 allows the retiree to specify over how many years payments are to be received. Assume Sosa has had $5,000 deposited at the end of each year for 40 years, and that the long-term interest rate has been 7%.
Required:
a. How much has accumulated in Sosa's deferred compensation account?
b. How much will Sosa be able to withdraw at the beginning of each year if he elects to receive payments for 20 years?
c. For how many years will Sosa be able to receive payments if he chooses to receive $115,000 per year at the beginning of each year?
Difficulty: 3 Hard
Topic: Future value of an ordinary annuity; Present value of a deferred annuity; Solve for unknown values―Annuity
Learning Objective: 05-06 Compute the future value of both an ordinary annuity and an annuity due.; 05-07 Compute the present value of an ordinary annuity, an annuity due, and a deferred annuity.; 05-08 Solve for unknown values in annuity situations involving present value.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
120) DEF Company will issue $2,000,000 in 10%, 10-year bonds when the market rate of interest is 12%. Interest is paid semiannually.
Required: Determine how much cash DEF Company should realize from the bond issue.
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
121) GHI Company will issue $2,000,000 in 8%, 10-year bonds when the market rate of interest is 6%. Interest is paid semiannually.
Required: Determine how much cash GHI Company should realize from the bond issue.
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
122) JKL Company will issue $2,000,000 in 12%, 10-year bonds when the market rate of interest is 10%. Interest is paid semiannually.
Required: Determine how much cash JKL Company should realize from the bond issue.
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
123) MBI Company's largest computer has a cash selling price of $200,000. A customer wishes to buy the computer on a lease purchase plan over five years, with the first payment to be made at the inception of the lease. Interest is at 10%.
Required:
a. Compute the amount of the annual lease payment and the gross amount due (total payments) under the lease.
b. Compute the amount of interest income earned by MBI for the first year of the lease.
Difficulty: 3 Hard
Topic: Present value application―Leases
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
124) King Corporation has a defined benefit pension plan. One of its employees has vested benefits under the plan, which will pay him $40,000 annually for life starting with the first payment of $40,000 on the day he retires at the age of 65. The employee has just reached the age of 50. King consulted standard mortality tables to come up with a life expectancy of 80 for this employee. The implicit interest rate under the plan is 9%.
Required:
a. What will be the present value of the pension obligation at the time of the employee's retirement?
b. What is the present value of the pension obligation at the current time?
Difficulty: 3 Hard
Topic: Present value application―Pensions
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
125) On June 30, 2021, Gunderson Electronics issued 8% stated rate bonds with a face amount of $300 million. The bonds mature on June 30, 2038 (20 years). The market rate of interest for similar bond issues was 10% (5% semiannual rate). Interest is paid semiannually (4%) on June 30 and December 31, beginning on December 31, 2021.
Required:
a. Determine the price of the bonds on June 30, 2021.
b. Calculate the interest expense Gunderson reports in 2021 for these bonds.
Difficulty: 3 Hard
Topic: Present value application―Bonds
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Apply
AACSB: Knowledge Application
AICPA/Accessibility: FN Measurement
126) Briefly describe the difference between simple interest and compound interest.
Difficulty: 2 Medium
Topic: Basics of interest―Simple versus compound
Learning Objective: 05-01 Explain the difference between simple and compound interest.
Bloom's: Understand
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
127) Explain how you would compute the imputed interest on cash borrowed at 0% interest when the market rate of interest is 8%.
Difficulty: 3 Hard
Topic: Present value of a single amount; Solve for interest rate―Single amount
Learning Objective: 05-03 Compute the present value of a single amount.; 05-04
Bloom's: Remember
AACSB: Communication
AICPA/Accessibility: BB Critical Thinking
128) Two banks each have annual CD rates of 12%. Bank A compounds quarterly and Bank B compounds semiannually. Explain which bank offers the better CD.
Difficulty: 3 Hard
Topic: Basics of interest―Simple versus compound
Learning Objective: 05-01 Explain the difference between simple and compound interest.
Bloom's: Understand
AACSB: Communication
AICPA/Accessibility: BB Critical Thinking
129) Briefly describe the differences between an ordinary annuity, an annuity due, and a deferred annuity.
Difficulty: 2 Medium
Topic: Basics of ordinary annuity and annuity due
Learning Objective: 05-05 Explain the difference between an ordinary annuity and an annuity due situation.
Bloom's: Understand
AACSB: Communication
AICPA/Accessibility: BB Critical Thinking
130) Prepare a time diagram for the future value of an ordinary annuity with three payments of $300. Be sure to indicate the periods in which interest is added.
Difficulty: 2 Medium
Topic: Future value of an ordinary annuity
Learning Objective: 05-06 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
131) Prepare a time diagram for the future value of an annuity due with three payments of $400. Be sure to indicate the periods in which interest is added.
Difficulty: 2 Medium
Topic: Future value of an annuity due
Learning Objective: 05-06 Compute the future value of both an ordinary annuity and an annuity due.
Bloom's: Remember
AACSB: Reflective Thinking
AICPA/Accessibility: BB Critical Thinking
132) Briefly explain how you would arrive at the monthly payment for a 48-month loan where the first payment is due one month from the loan date. In your explanation, include the use of present or future value tables.
Difficulty: 3 Hard
Topic: Solve for unknown values―Annuity
Learning Objective: 05-08 Solve for unknown values in annuity situations involving present value.
Bloom's: Understand
AACSB: Communication
AICPA/Accessibility: BB Critical Thinking
133) Provide two examples of the use of present value techniques in accounting.
Difficulty: 2 Medium
Topic: Present value application―Bonds; Present value application―Leases; Present value application―Notes; Present value application―Pensions
Learning Objective: 05-09 Briefly describe how the concept of the time value of money is incorporated into the valuation of bonds, long-term leases, and pension obligations.
Bloom's: Create
AACSB: Communication
AICPA/Accessibility: BB Critical Thinking
Document Information
Connected Book
Answer Key + Test Bank | Intermediate Accounting 10e
By J. David Spiceland, Mark W. Nelson, Wayne Thomas