You are considering the purchase of a common stock that paid a dividend of $2.00 yesterday. You expect this stock to have a growth rate of 15 percent for the next 3 years, resulting in dividends of D1=$2.30, D2=$2.645, and D3=$3.04. The long-run normal growth rate after year 3 is expected to be 10 percent (that is, a constant growth rate after year 3 of 10% per year forever). If you require a 14 percent rate of return, how much should you be willing to pay for this stock? A) $89.75 B) $56.46 C) $83.65 D) $62.57

Question

Business

Blanche

26 June, 22:47

You are considering the purchase of a common stock that paid a dividend of $2.00 yesterday. You expect this stock to have a growth rate of 15 percent for the next 3 years, resulting in dividends of D1=$2.30, D2=$2.645, and D3=$3.04. The long-run normal growth rate after year 3 is expected to be 10 percent (that is, a constant growth rate after year 3 of 10% per year forever). If you require a 14 percent rate of return, how much should you be willing to pay for this stock? A) $89.75 B) $56.46 C) $83.65 D) $62.57

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Jasiah Norris · Answer 1

D) $62.57

Explanation:

One should be willing to pay the intrinsic value or fair price, computed using the present value of dividends

Intrinsic value or fair Price = 2.3/1.14 + 2.645/1.14^2 + 3.04/1.14^3 + (3.04 * (1+10%) / (14%-10%)) / 1.14^3

= $62.57

Therefore, You should be willing to pay $62.57 for this stock.