IBM just paid a dividend of and expects these dividends to grow at % a year. The price of IBM is per share. What is IBM's cost of equity capital?

Question

The question is incomplete. The complete version is given below:

IBM just paid a dividend of $3.5 and expects these dividends to grow at 7% a year. The price of IBM is $100 per share. What is? IBM's cost of equity? capital?

Cost of equity = 10.7%

Explanation:

Cost of equity can be ascertained using the dividend valuation model. The dividend valuation model states that the price of a stock is the present value of future dividends discounted at the required rate of return.  The required rate of return is the cost of equity.

The cost is the minimum rate of return that ordinary shareholders are willing to accept considering the opportunity cost of their capital

Cost of equity (Ke) =( Do( 1+g)/P ) + g

DATA

Ke- ?

D0- 3.5

P-100

g-7%

Ke= 3.5×(1.07)/100  + 0.07 = 0.10745

Ke- 0.10745 × 100 = 10.7%

Cost of equity = 10.7%

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30

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