Answer: THE COST OF EQUITY IS 14.2% AND WACC IS 11.33%
Explanation:
Here in the question we have been given the weight of debt(35% debt) and weight of equity(65% equity), with marginal tax rate as 25%, PO which is current stock price as $29 and DO which is he last dividend as $2.25, and lastly with growth rate of 6%.
So for us to calculate the cost of common equity, we have to use the approach of discounted cash flow(DCF), where we will us the formula of -
Dividend in the first year (D1) / Current price of stock (PO) + growth rate
Here we know the value of PO and growth rate but don't know the D1, so firstl we will have to calculate the D1 using formula =
D1 = D0 (1+GROWTH RATE)
= $2.25 ( 1+6%)
= $2.25 (1+.06)
= $ 2.385
Now putting the value of D1 in cost of common equity formula,
= $2.385 / $29 + 6%
= .082 + .06
= .142 ( when multiplied by 100 to make in percentage we get 14.2%)
therefore the cost of common equity is 14.2%
For taking out WACC ( weighted average cost of capital ) we will use the formula of =
weight of debt [cost of debt(1 - marginal tax rate)] + weight of equity x cost
of equity
= 35% [8%(1 - 25%)] + 65% x 14.2%
= .35 [.08(.75)] + .65 x .142
= .35 x .06 + .0923
= .021 + .0923
= .1133 ( multiplying by 100 to make it in percentage)
= 11.33%