6. How much do you have to deposit today so that you can withdraw $50,000 a year at the end of years 5 through 9, and $25,000 at the end of year 10? Assume that you can earn an annual rate of 8 percent.

$158,317.88

Explanation:

we have to calculate the present value of the cash flows:

PV = $50,000 / 1.08⁵ + $50,000 / 1.08⁶ + $50,000 / 1.08⁷ + $50,000 / 1.08⁸ + $50,000 / 1.08⁹ + $25,000 / 1.08¹⁰ = $34,029.16 + $31,508.48 +$29,174.52 + $27,013.44 + $25,012.44 + $11,579.84 = $158,317.88

If we deposit $158,317.88 today, we will be able to withdraw $50,000 at the end of years 5 to 9, and $25,000 on year 10.

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