4. Quarterly payments of P2,000 for 5 years with an interest rate of 8% compounded quarterly. Solution: 5. Daily payments of P50 for 30 days with an interest rate of 20% compounded daily. Solution: 6. Annual payments of P1,000 at the end of each term for 8 years with an interest rate of 6% compounded quarterly. Solution:

4. Quarterly payments of P2,000 for 5 years with an interest rate of 8% compounded quarterly. Solution: 5. Daily payments of P50 for 30 days with an interest rate of 20% compounded daily. Solution: 6. Annual payments of P1,000 at the end of each term for 8 years with an interest rate of 6% compounded quarterly. Solution:

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 31P

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Calculating single-payment loan amount due at maturity. Stanley Price plans to borrow 8,000 for five years. The loan will be repaid with a single payment after five years, and the interest on the loan will be computed using the simple interest method at an annual rate of 6 percent. How much will Stanley have to pay in five years? How much will he have to pay at maturity if hes required to make annual interest payments at the end of each year?
Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?
(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
Electro Corporation bought a new machine and agreed to pay for it in equal annual installments of 5,000 at the end of each of the next 5 years. Assume a prevailing interest rate of 15%. The present value of an ordinary annuity of 1 at 15% for 5 periods is 3.35. The future amount of an ordinary annuity of 1 at 15% for 5 periods is 6.74. The present value of 1 at 15% for 5 periods is 0.5. How much should Electro record as the cost of the machine? a. 12,500 b. 16,750 c. 25,000 d. 33,700
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