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Files Downloaded. CHAPTER 1 THE TIME VALUE OF MONEY LEARNING OUTCOMES After completing this chapter, you will be able to do the following: interpret interest rates as required rates of return, discount rates, or opportunity costs; explain an interest rate as the sum of a real risk-free rate and premiums that compensate investors for bearing distinct types of risk; calculate and interpret the effective annual rate, given the stated annual interest rate and the frequency of compounding; solve time value of money problems for different frequencies of compounding; calculate and interpret the future value (FV) and present value (PV) of a single sum of money, an ordinary annuity, an annuity due, a perpetuity (PV only), and a series of unequal cash flows; demonstrate the use of a time line in modeling and solving time value of money problems. SUMMARY OVERVIEW In this reading, we have explored a foundation topic in investment mathematics, the time value of money. We have developed and reviewed the following concepts for use in financial applications: The interest rate, r, is the required rate of return; r is also called the discount rate or opportunity cost. An interest rate can be viewed as the sum of the real risk-free interest rate and a set of premiums that compensate lenders for risk: an inflation premium, a default risk premium, a liquidity premium, and a maturity premium. The future value, FV, is the present value, PV, times the future value factor, (1 + r)N. The interest rat

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