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Chapter 006 Discounted Cash Flow Valuation Multiple Choice Questions 1. An annuity is a(n): a. level stream of perpetual cash flows B. level stream of cash flows occurring for a fixed period of time c. increasing stream of perpetual cash flows d. increasing stream of cash flows occurring for a fixed period of time e. decreasing stream of cash flows occurring for a fixed period of time SECTION: 6.2 TOPIC: ANNUITY TYPE: DEFINITIONS 2. Which one of the following is the annuity present value factor? a. (1 + Present value factor) / r B. (1 Present value factor) / r c. Present value factor + (1 / r) d. (Present value factor r) + (1 / r) e. r (1 + Present value factor) SECTION: 6.2 TOPIC: PRESENT VALUE FACTOR FOR ANNUITIES TYPE: DEFINITIONS 3. What is a consol? a. a type of annuity issued by an insurance company B. a name used in Canada for a perpetuity c. an annuity stream of payments received as an inheritance d. a decreasing stream of perpetual payments e. an increasing stream of perpetual payments SECTION: 6.2 TOPIC: CONSOL TYPE: DEFINITIONS 7-1 Chapter 006 Discounted Cash Flow Valuation 4. How is an annuity due defined? a. a stream of cash flows occurring for less than one year b. an annuity stream of payments that are disbursed rather than received c. an annuity stream of payments that are received rather than disbursed d. a set of equal cash flows occurring at the end of each period E. a set of equal cash flows occurring at the beginning of each period SECTION: 6.2 TOPIC: ANNUITIES DUE TYPE: DEFINITIONS 5. An annuity stream where the payments occur forever is called a(n): a. annuity due b. indemnity C. perpetuity d. amortized cash flow stream e. ordinary annuity SECTION: 6.2 TOPIC: PERPETUITY TYPE: DEFINITIONS 6. What is the interest rate that is expressed in terms of the interest payment made each period called? A. stated interest b. compound interest c. effective annual d. periodic interest e. daily interest SECTION: 6.3 TOPIC: STATED INTEREST RATES TYPE: DEFINITIONS 7-2 Chapter 006 Discounted Cash Flow Valuation 7. What is the interest rate that is expressed as if it were compounded once per year called? a. stated interest b. compound interest C. effective annual d. periodic interest e. daily interest SECTION: 6.3 TOPIC: EFFECTIVE ANNUAL RATE TYPE: DEFINITIONS 8. What is the interest rate charged per period multiplied by the number of periods per year called? a. effective annual B. annual percentage c. periodic interest d. compound interest e. daily interest SECTION: 6.3 TOPIC: ANNUAL PERCENTAGE RATE TYPE: DEFINITIONS 9. A loan where the borrower receives money today and repays a single lump sum on a future date is called a(n) _ loan. a. amortized b. continuous c. balloon D. pure discount e. interestonly SECTION: 6.4 TOPIC: PURE DISCOUNT LOAN TYPE: DEFINITIONS 7-3 Chapter 006 Discounted Cash Flow Valuation 10. A loan where the borrower pays interest each period and repays the entire principal of the loan at some point in the future is called a(n) _ loan. a. amortized b. continuous c. balloon d. pure discount E. interestonly SECTION: 6.4 TOPIC: INTERESTONLY LOAN TYPE: DEFINITIONS 11. A loan where the borrower pays interest each period, and repays some or all of the principal of the loan over time is called a(n) _ loan. A. amortized b. continuous c. balloon d. pure discount e. interestonly SECTION: 6.4 TOPIC: AMORTIZED LOAN TYPE: DEFINITIONS 12. A loan where the borrower pays interest each period, repays part of the principal of the loan over time, and repays the remainder of the principal at the end of the loan, is called a(n) _ loan. a. amortized b. continuous C. balloon d. pure discount e. interestonly SECTION: 6.4 TOPIC: BALLOON LOAN TYPE: DEFINITIONS 7-4 Chapter 006 Discounted Cash Flow Valuation 13. You are comparing two annuities which offer monthly payments of $500 for ten years and pay 0.5 percent interest per month. Annuity A will pay you on the first of each month while annuity B will pay you on the last day of each month. Which one of the following statements is correct concerning these two annuities? a. Both annuities are of equal value today b. Annuity B is an annuity due C. Annuity A has a higher future value than annuity B d. Annuity B has a higher present value than annuity A e. Both annuities have the same future value as of ten years from today SECTION: 6.2 TOPIC: ORDINARY ANNUITY VERSUS ANNUITY DUE TYPE: CONCEPTS 14. You are comparing two investment options that pay 7 percent interest annually. Both options will provide you with $20,000 of income. Option A pays five annual payments starting with $8,000 the first year followed by four annual payments of $3,000 each. Option B pays five annual payments of $4,000 each. Which one of the following statements is correct given these two investment options? a. Both options are of equal value given that they both provide $20,000 of income B. Option A is the better choice c. Option B has a higher present value than option A d. Option B is a perpetuity e. Option A is preferable because it is an annuity due SECTION: 6.1 AND 6.2 TOPIC: UNEVEN CASH FLOWS AND PRESENT VALUE TYPE: CONCEPTS 7-5 Chapter 006 Discounted Cash Flow Valuation 15. You are considering two projects with the following cash flows: Which of the following statements are true concerning these two projects? I. Both projects have the same future value at the end of year 4, given a positive rate of return II. Both projects have the same future value given a zero rate of return III. Both projects have the same future value at any point in time, given a positive rate of return IV. Project B has a higher future value than project A, given a positive rate of return. a. II only b. IV only c. I and III only D. II and IV only e. I, II, and III only SECTION: 6.1 TOPIC: UNEVEN CASH FLOWS AND FUTURE VALUE TYPE: CONCEPTS 16. How does a perpetuity differ from an annuity? a. perpetuity payments vary with the rate of inflation b. perpetuity payments vary with the market rate of interest c. perpetuity payments are variable while annuity payments are constant D. perpetuity payments never cease e. annuity payments are smaller in amount SECTION: 6.2 TOPIC: PERPETUITY VERSUS ANNUITY TYPE: CONCEPTS 7-6 Chapter 006 Discounted Cash Flow Valuation 17. Which one of the following statements concerning the annual percentage rate is correct? a. The annual percentage rate considers interest on interest b. The rate of interest you actually pay on a loan is called the annual percentage rate c. The effective annual rate is lower than the annual percentage rate when an interest rate is compounded quarterly d. When firms advertise the annual percentage rate they are violating U.S. truthinlending laws E. The annual percentage rate equals the effective annual rate when the rate on an account is designated as simple interest SECTION: 6.3 TOPIC: ANNUAL PERCENTAGE RATE TYPE: CONCEPTS 18. Which one of the following statements concerning interest rates is correct? a. The stated rate is the same as the effective annual rate B. The effective annual rate is the rate that applies if interest is compounded annually c. The annual percentage rate increases as the number of compounding periods per year increases d. Borrowers prefer more frequent compounding on their loan accounts given a stated annual percentage rate e. For any positive rate of interest, the effective annual rate will always exceed the annual percentage rate SECTION: 6.3 TOPIC: INTEREST RATES TYPE: CONCEPTS 7-7 Chapter 006 Discounted Cash Flow Valuation 19. Which of the following statements concerning the effective annual rate are correct? I. When making financial decisions, you should compare effective annual rates rather than annual percentage rates II. The more frequently interest is compounded, the higher the effective annual rate given a fixed annual percentage rate III. A quoted rate of 6 percent compounded continuously has a higher effective annual rate than if the rate were compounded daily IV. When choosing which loan to accept, you should select the offer with the highest effective annual rate. a. I and II only b. I and IV only C. I, II, and III only d. II, III, and IV only e. I, II, III, and IV SECTION: 6.3 TOPIC: EFFECTIVE ANNUAL RATE TYPE: CONCEPTS 20. The highest effective annual rate that can be derived from an annual percentage rate of 9 percent is computed as: a. .09e 1 b. e.09 q c. e (1 + .09) D. e.09 1 e. (1 + .09)q SECTION: 6.3 TOPIC: CONTINUOUS COMPOUNDING TYPE: CONCEPTS 7-8 Chapter 006 Discounted Cash Flow Valuation 21. A pure discount loan is a(n): A. example of a present value problem b. loan that is interestfree c. loan that grants you a discount if you pay your payments on time d. loan that requires all interest to be paid at the time the loan is made e. loan that discounts the payments if you pay them in advance SECTION: 6.4 TOPIC: PURE DISCOUNT LOAN TYPE: CONCEPTS 22. The principle amount of an interestonly loan is: a. never repaid b. repaid in equal increments and included in each loan payment C. repaid in full at the end of the loan period d. repaid in equal annual payments even when the loan interest is repaid monthly e. repaid in increasing increments and included in each loan payment SECTION: 6.4 TOPIC: INTERESTONLY LOAN TYPE: CONCEPTS 23. An amortized loan: a. requires the principle amount to be repaid in even increments over the life of the loan B. may have equal or increasing amounts applied to the principle from each loan payment c. requires that all interest be repaid on a monthly basis while the principle is repaid at the end of the loan term d. requires that all payments be equal in amount and include both principle and interest e. repays both the principle and the interest in one lump sum at the end of the loan term SECTION: 6.4 TOPIC: AMORTIZED LOAN TYPE: CONCEPTS 7-9 Chapter 006 Discounted Cash Flow Valuation 24. Your parents are giving you $500 a month for five years while you attend college to earn both a bachelor's and a master's degree. At a 7 percent discount rate, what are these payments worth to you when you first enter college? a. $22,681.13 b. $24,601.18 C. $25,251.00 d. $27,209.17 e. $30,000.00 AACSB TOPIC: ANALYTIC SECTION: 6.2 TOPIC: ORDINARY ANNUITY AND PRESENT VALUE TYPE: PROBLEMS 7-10