Jack Hammer invests in a stock that will pay dividends of \(2.00 at the end of the first year; \)2.20 at the end of the second year; and \(2.40 at the end of the third year. Also, he believes that at the end of the third year he will be able to sell the stock for \)33. What is the present value of all future benefits if a discount rate of 11 percent is applied? (Round all values to two places to the right of the decimal point.)

Short Answer

Expert verified

The present value is $29.47.

Step by step solution

01

Identification of the required information

Dividend at Year 1 (D1) = $2

Dividend at Year 2 (D2) = $2.2

Dividend at Year 3 (D3) = $2.4

Sale value at Year 3 (S) = $33

Interest Rate (i) = 11%

02

Present value (PV)

PV=D1×1+i-n1+D2×1+i-n2+D3×1+i-n3+S×1+i-n3=$2(1+11%)-1+$2.2×(1+11%)-2+$2.4(1+11%)-3+$33×(1+11%)-3=$29.47=$29.47

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