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Jack Hammer invests in a stock that will pay dividends of $3.18 at the end of th

ID: 2469526 • Letter: J

Question

Jack Hammer invests in a stock that will pay dividends of $3.18 at the end of the first year; $3.66 at the end of the second year; and $4.14 at the end of the third year. Also at the end of the third year he believes he will be able to sell the stock for $68.

What is the present value of these future benefits if a discount rate of 11 percent is applied? (Use a Financial calculator to arrive at the answers. Round the final answers to 2 decimal places.)

  

Jack Hammer invests in a stock that will pay dividends of $3.18 at the end of the first year; $3.66 at the end of the second year; and $4.14 at the end of the third year. Also at the end of the third year he believes he will be able to sell the stock for $68.

Explanation / Answer

Present value factor = 1 / (1+ Discount rate)Discounting period

Present value for 1 year = 1/1.11 = 0.9009

Present value for 2 years = 1/1.112 = 0.8116

Present value factor for 3 years = 1/1.113 = 0.7312

Year

Cash flow

Present value factor

Present value

1

$3.18

0.9009

$2.86

2

$3.66

0.8116

$2.97

3

$4.14

0.7312

$3.03

3

$68.00

0.7312

$49.72

  Total

$58.58

Year

Cash flow

Present value factor

Present value

1

$3.18

0.9009

$2.86

2

$3.66

0.8116

$2.97

3

$4.14

0.7312

$3.03

3

$68.00

0.7312

$49.72

  Total

$58.58