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Kahn Inc. has a target capital structure of 50% common equity and 50% debt to fu

ID: 2748681 • Letter: K

Question

Kahn Inc. has a target capital structure of 50% common equity and 50% debt to fund its $10 billion in operating assets. Furthermore, Kahn Inc. has a WACC of 14%, a before-tax cost of debt of 11%, and a tax rate of 40%. The company's retained earnings are adequate to provide the common equity portion of its capital budget. Its expected dividend next year (D1) is $2 and the current stock price is $27.

a. What is the company's expected growth rate? Round your answer to two decimal places at the end of the calculations.

b. f the firm's net income is expected to be $1.5 billion, what portion of its net income is the firm expected to pay out as dividends? (Hint: Refer to Equation below.)

Growth rate = (1 - Payout ratio)ROE

Round your answer to two decimal places at the end of the calculations.

Explanation / Answer

A) Calculation of growth

WACC = 14%

Before-tax cost of debt =11%

50% common equity and 50% debt to fund

Weight of equity = .50 and weight of debt = .50

WACC = weight of equity * Cost of equity + weight of debt * Cost of Debt

.14 = 0.50 * Ke + 0.50 * .11(1-.40)

Ke = 21.4 %

Ke = D1/P0 + g

.214 = 2/27 + g

g = 14%

B) calculation of portion of net income that firm expected to pay out as dividends

ROE = Net income / shareholders fund *100

        = 1.5 / 5 *100

         = 30%

Growth rate = (1 - Payout ratio)ROE

.14 = (1- Payout ratio ) * .30

Payout ratio = 53.33 %

Portion of net income that firm expected to pay out as dividends

= 1.5 billion * 53.33 % = 0.80