Suppose you invest $1,400 for seven years at an annual percentage rate of 8 percent. a. What is the future value if interest is compounded annually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g.., 32.16.) b. What is the future value if interest is compounded semiannually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the future value if interest is compounded monthly? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What is the future value if interest is compounded continuously? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Future value b. Future value C. Future value d. Future value

Suppose you invest $1,400 for seven years at an annual percentage rate of 8 percent. a. What is the future value if interest is compounded annually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g.., 32.16.) b. What is the future value if interest is compounded semiannually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the future value if interest is compounded monthly? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What is the future value if interest is compounded continuously? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Future value b. Future value C. Future value d. Future value

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...

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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%?