CPA Quiz: Apply Time Value Of Money Concepts
7 questions · exam conditions
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Apply Time Value Of Money ConceptsQuestion 1 of 7

A private hospitality company is assessing the present value of a lease requiring $200,000 payments at the end of each year for 10 years. The company’s incremental borrowing rate is 5% compounded annually. What is the present value of the lease payments (rounded to the nearest $1,000)?

$2,000,000
$1,544,000
$1,436,000
$1,236,000
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CPA Quiz

CPA Quiz: Apply Time Value Of Money Concepts

Practice Apply Time Value Of Money Concepts in CPA with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Apply Time Value Of Money Concepts, giving you a quick way to practice the rules, question types, and explanations that matter most for CPA.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

A private hospitality company is assessing the present value of a lease requiring $200,000 payments at the end of each year for 10 years. The company’s incremental borrowing rate is 5% compounded annually. What is the present value of the lease payments (rounded to the nearest $1,000)?

  1. $2,000,000
  2. $1,544,000 (correct answer)
  3. $1,436,000
  4. $1,236,000
Explanation: This question tests present value calculation for a standard lease payment stream. The lease requires $200,000 annual payments for 10 years at a 5% discount rate. The present value equals $200,000 × 7.7217 (PV annuity factor for 10 years at 5%) = $1,544,340, which rounds to 1,544,000.ChoiceA(1,544,000. Choice A (2,000,000) incorrectly uses simple multiplication without discounting. Choice C (1,436,000)andChoiceD(1,436,000) and Choice D (1,236,000) use incorrect discount factors that undervalue the lease obligation. The framework shows that lease liabilities represent the present value of future payment obligations, making accurate TVM calculations essential for proper balance sheet presentation.

Question 2

A private logistics company is evaluating two mutually exclusive projects using net present value. Project A requires $1,000,000 today and returns $290,000 at each year-end for 5 years. Project B requires $1,000,000 today and returns $230,000 at each year-end for 6 years. Using an 8% discount rate compounded annually, what is the net present value of the investment for the higher-NPV project (rounded to the nearest $1,000)?

  1. $(82,000)
  2. $(10,000)
  3. $158,000 (correct answer)
  4. $1,158,000
Explanation: This question tests NPV comparison of mutually exclusive projects with different cash flow patterns. Project A: NPV = $290,000 × 3.9927 (5 years at 8%) - $1,000,000 = $1,157,883 - $1,000,000 = $157,883. Project B: NPV = $230,000 × 4.6229 (6 years at 8%) - $1,000,000 = $1,063,267 - $1,000,000 = $63,267. Project A has the higher NPV at approximately 158,000.ChoiceA(−158,000. Choice A (-82,000) incorrectly shows a negative NPV. Choice B (-10,000)alsoincorrectlyshowsnegativevalue.ChoiceD(10,000) also incorrectly shows negative value. Choice D (1,158,000) fails to subtract the initial investment. The framework demonstrates that when choosing between mutually exclusive projects, select the one with the highest NPV, not just positive NPV, to maximize shareholder value.

Question 3

A private manufacturer is valuing a 12-year bond with a $2,000,000 face value that pays 7% annual coupons (paid at year-end). If the market yield is 7% compounded annually, what is the present value of the bond's cash flows?

  1. $2,000,000 (correct answer)
  2. $1,860,000
  3. $2,140,000
  4. $1,000,000
Explanation: This question tests bond valuation when the coupon rate equals the market yield, resulting in par value pricing. The bond pays annual coupons of $140,000 (7% × $2,000,000) for 12 years plus $2,000,000 face value, with a market yield of 7%. When coupon rate equals market yield, the bond trades at par value of 2,000,000.ChoiceB(2,000,000. Choice B (1,860,000) incorrectly suggests a discount. Choice C (2,140,000)incorrectlysuggestsapremium.ChoiceD(2,140,000) incorrectly suggests a premium. Choice D (1,000,000) uses half the face value. The framework demonstrates a fundamental bond pricing principle: bonds trade at par when coupon rates equal market yields, at premiums when coupon rates exceed market yields, and at discounts when market yields exceed coupon rates.

Question 4

A private retail chain is choosing between two financing options for a $900,000 store remodel. Loan A requires annual payments of $213,000 for 5 years at a stated annual rate of 7% (payments at year-end). Loan B requires annual payments of $205,000 for 5 years at a stated annual rate of 8% (payments at year-end). Based on present value analysis using each loan's stated rate, what is the most cost-effective loan option?

  1. Loan A, because its present value of payments is approximately $874,000 versus approximately $818,000 for Loan B
  2. Loan B, because its present value of payments is approximately $818,000 versus approximately $874,000 for Loan A (correct answer)
  3. Loan A, because its future value of payments is lower than Loan B
  4. Loan B, because both loans have the same present value when discounted at 7%
Explanation: This question tests loan comparison using present value analysis at each loan's stated interest rate. For Loan A, the present value at 7% equals $213,000 × 4.1002 (PV annuity factor for 5 years at 7%) = $873,343. For Loan B, the present value at 8% equals $205,000 × 3.9927 (PV annuity factor for 5 years at 8%) = 818,504.LoanBhasthelowerpresentvalueofpayments(818,504. Loan B has the lower present value of payments (818,504 vs. $873,343), making it more cost-effective. Choice A incorrectly identifies Loan A as better with reversed present values. Choice C incorrectly focuses on future value rather than present value. Choice D incorrectly suggests equal present values when discounted at different rates. The framework shows that when comparing loans, calculate each loan's present value using its own stated rate to determine the true economic cost.

Question 5

A public energy company is valuing a 15-year bond with a $10,000,000 face value that pays 8% annual coupons (paid at year-end). If the market yield is 9% compounded annually, what is the present value of the bond's cash flows (rounded to the nearest $10,000)?

  1. $9,190,000 (correct answer)
  2. $10,000,000
  3. $10,810,000
  4. $8,730,000
Explanation: This question tests bond valuation for a long-term bond trading at a discount. The bond pays annual coupons of $800,000 (8% × $10,000,000) for 15 years plus $10,000,000 face value, discounted at 9% market yield. The present value equals $800,000 × 8.0607 (PV annuity factor for 15 years at 9%) + $10,000,000 × 0.2745 (PV factor for 15 years at 9%) = $6,448,560 + $2,745,000 = $9,193,560, which rounds to 9,190,000.ChoiceB(9,190,000. Choice B (10,000,000) incorrectly assumes par value when the market yield exceeds the coupon rate. Choice C (10,810,000)incorrectlycalculatesapremium.ChoiceD(10,810,000) incorrectly calculates a premium. Choice D (8,730,000) understates the bond value. The framework demonstrates that even small differences between coupon and market rates create significant premiums or discounts, especially for long-term bonds.

Question 6

A public utility company is valuing a 10-year bond with a $1,000,000 face value that pays 6% annual coupons (paid at the end of each year). If the market yield is 7% compounded annually, what is the present value of the bond's cash flows (issue price)?

  1. $1,000,000
  2. $929,800 (correct answer)
  3. $1,070,200
  4. $508,300
Explanation: This question tests bond valuation using time value of money to calculate the issue price when market yield differs from coupon rate. The bond pays annual coupons of $60,000 (6% × $1,000,000) for 10 years plus $1,000,000 face value at maturity, discounted at the 7% market yield. The present value equals $60,000 × 7.0236 (PV annuity factor for 10 years at 7%) + $1,000,000 × 0.5083 (PV factor for 10 years at 7%) = $421,416 + $508,300 = $929,716, which rounds to 929,800.ChoiceA(929,800. Choice A (1,000,000) incorrectly assumes the bond trades at par when the market yield exceeds the coupon rate. Choice C (1,070,200)incorrectlycalculatesapremiumwhenthebondshouldtradeatadiscount.ChoiceD(1,070,200) incorrectly calculates a premium when the bond should trade at a discount. Choice D (508,300) only includes the present value of the face value, omitting coupon payments. The framework demonstrates that bonds trade at a discount when market yields exceed coupon rates, reflecting the time value of money.

Question 7

A public financial services company is valuing a 3-year bond with a $1,000,000 face value that pays 4% annual coupons (paid at year-end). If the market yield is 6% compounded annually, what is the present value of the bond's cash flows (rounded to the nearest $1,000)?

  1. $946,000 (correct answer)
  2. $1,000,000
  3. $1,054,000
  4. $860,000
Explanation: This question tests short-term bond valuation when market yield exceeds coupon rate. The bond pays annual coupons of $40,000 (4% × $1,000,000) for 3 years plus $1,000,000 face value, discounted at 6% market yield. PV = $40,000 × 2.6730 (PV annuity factor for 3 years at 6%) + $1,000,000 × 0.8396 (PV factor for 3 years at 6%) = $106,920 + $839,600 = $946,520, which rounds to 946,000.ChoiceB(946,000. Choice B (1,000,000) incorrectly assumes par value. Choice C (1,054,000)incorrectlycalculatesapremiumwhenthebondshouldtradeatadiscount.ChoiceD(1,054,000) incorrectly calculates a premium when the bond should trade at a discount. Choice D (860,000) understates the bond value. The framework shows that bonds trade at discounts when market yields exceed coupon rates, with the discount being smaller for shorter-term bonds.