An investment in a real estate venture will provide returns at the end of the next four years as follows: year 1, $5,500; year 2, $7,500; year 3, $9,500; and year 4, $12,500. An investor wants to earn a 12 percent return compounded annually on her investment. How much should she pay for the investment? Assuming that the investor wanted to earn an annual rate of 12 percent compounded monthly, how much would she pay for this investment? Why are these two amounts different?

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Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.