Answer:
a. 4.94%
b. 11.48%
Explanation:
Here in this question, we are interested in calculating the pretax cost of debt and cost of equity.
We proceed as follows;
a. From the question;
The debt equity ratio = 1.15
since Equity = 1 ; Then
Total debt + Total equity = 1 + 1.15 = 2.15
Mathematically ;
WACC = Cost of equity x Weight of equity + Pretax Cost of debt x Weight of debt x (1-Tax rate)
Where WACC = 8.6%
Cost of equity = 14%
Weight of equity = 1/(total debt + total equity) = 1/(1+1.15) = 1/2.15
Pretax cost of debt = ?
Weight of debt = debt equity ratio/total cost of debt = 1.15/2.15
Tax rate = 21% = 0.21
Substituting these values, we have;
8.6% = 14% x 1/2.15 + Pretax cost of debt x 1.15/2.15 x (1-21%)
8.6% = 14% x 1/2.15 + Pretax cost of debt x 1.15/2.15 x (1-21%)
Pretax cost debt = (8.6%-6.511628%)/(1.15/2.15 x (1-21%))
Pretax cost of debt = 4.94%
b. WACC = Cost of equity x Weight of equity + After tax Cost of debt x Weight of debt
8.6% = Cost of equity x 1/2.15 + 6.1% x 1.15/2.15
Cost of equity = (8.6%-3.26279%)/(1/2.15)
Cost of equity = 11.48%
Answer:
Cost of equity = 19.1
%
Explanation:
Cost of equity = required rate of return + flotation cost
The Capital assets pricing model would be used to determined the required rate of return
<em>The capital asset pricing model (CAPM): relates the price of a share to the market risk or systematic risk. The systematic risk is that which affects all the all the economic agents, e.g inflation, interest rate e.t.c </em>
Using the CAPM , the required rate of return is given as follows:
E(r)= Rf +β(Rm-Rf)
E(r) - required return
β- Beta
Rm- Return on market
Rf- Risk-free rate
DATA
E(r) =? , Rf- 3%, Rm-14% , β- 1.1, flotation cost - 4%
E(r) = 3% + 1.1× (14% - 3%) = 15.1
%
Cost of equity = required rate of return + flotation cost
= 15.1
% + 4% = 19.1
%
Cost of equity = 19.1
%
The answer is True. Hope this helps
