Question

Assume that the risk-free rate of interest is 5% and the expected rate of return on the market is 17%. A share of stock sells for $64 today. It will pay a dividend of $2 per share at the end of the year. Its beta is 1.0. What do investors expect the stock to sell for at the end of the year?

Answer 1

New price (P1) = $72.88

Step-by-step explanation:

Given:

Risk-free rate of interest (Rf) = 5%

Expected rate of market return (Rm) = 17%

Old price (P0) = $64

Dividend (D) = $2

Beta (β) = 1.0

New price (P1) = ?

Computation of expected rate on return:

Expected rate on return (r) = Rf + β(Rm - Rf)

Expected rate on return (r) = 5% + 1.0(17% - 5%)

Expected rate on return (r) = 5% + 1.0(12%)

Expected rate on return (r) = 5% + 12%

Expected rate on return (r) = 17%

Computation:

Expected rate on return (r) = (D + P1 - P0) / P0

17% = ($2 + P1 - $64) / $64

0.17 = (2 + P1 - $64) / $64

10.88 = P1 - $62

New price (P1) = $72.88