Congratulations! You have just won a $40 million lottery and have electedto receive $2 million per year for 20 years. Assume that a 4 percent interestrate is used to evaluate the annuity and that you receive each payment atthe beginning of the year.a. What is the present value of the lottery?b. How much interest is earned on the present value to make the $2 millionper-year payment?

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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.