Question

You expect that Bean Enterprises will have earnings per share of $2 for the coming year. Bean plans to retain all of its earnings for the next three years. For the subsequent two years, the firm plans on retaining 50% of its earnings. It will then retain only 25% of its earnings from that point forward. Retained earnings will be invested in projects with an expected return of 20% per year. If Bean's equity cost of capital is 12%, then the price of a share of Bean's stock is closest to:
A) $17.00

B) $10.75

C) $27.75

D) $43.50

Answer 1

Answer:

C) $27.75

Explanation:

Earnings:

2.00 x 20% = 0.4 (2.00 + 0.40 = 2.40)

2.40 x 20% = 0.48 (2.40 + 0.48 = 2.88)

2.88 x 20% = 0.576 (2.88 + 0.576 = 3.456)

3.46 x 10% = 0.346 (3.46 + 0.346 = 3.806)

3.80 x 10% = 0.38 (3.80 + 0.38 = 4.18)

Dividends:  

3.46 x 50% = 1.73

3.80 x 50 % = 1.90

4.18 x 75% = 3.135 ( 50% + 25% = 75%)

P0 = 1.73/[(1.12)^4] + 1.90/[(1.12)^5] + (3.14/(0.12 - 0.05))/1.125

     = 27.63

Therefore, If Bean's equity cost of capital is 12%, then the price of a share of Bean's stock is closest to $27.75