Alex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options: Receive $100,000,000 in cash today. Receive $25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today. Receive $15,000,000 per year for 10 years, with the first payment being received one year from today. Assuming that the effective rate of interest is 7%, which payout option should Alex select?

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A:

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Q: the simple  interest he got.

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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.