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Underestimated Inc.’s common shares currently sell for $35 each. The firm’s mana

ID: 2751566 • Letter: U

Question

Underestimated Inc.’s common shares currently sell for $35 each. The firm’s management believes that its shares should really sell for $52 each. The firm just paid an annual dividend of $2 per share and management expects those dividends to increase by 5 percent per year forever (and this is common knowledge to the market).

What is the current cost of common equity for the firm?

What does management believe is the correct cost of common equity for the firm?

Cost of common equity (as per firm's belief)?

Explanation / Answer

Given:-

Growth rate (g) = 5% per year

D0 = $2 per share

D1 = 2*1.05

= $2.10 per share

P0 = $35

..

According to Constant Growth DDM,

P0 = D1/(Re-g)

35 = 2.1/(Re-0.05)

Re-0.05 = 0.06

Re = 0.11

Re = 11%.

..

Cost of common equity (correct cost of common equity for the firm as per firm's belief)

P0 = 52

..

52 = 2.1/(Re-0.05)

Re-0.05 = 2.1/52

Re-0.05 = 0.0404

Re = 0.0904

Re = 9.04%