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Answer:
17.74%
Explanation:
Calculation to determine What would be the estimated cost of equity
First step is to calculate the Original beta using this formula
Original beta = (rs-rRf)/ RPM
Let plug in the formula
Original beta = 11.5%- 5%
Original beta = 6.5%/ 6%
Original beta = 1.083
Second step is to calculate original D/E using this formula
original D/E= D/A / (1-D/A)
Let plug in the formula
original D/E = .25/ (1-.25%)
original D/E = .333
Third step is to calculate Unlevered Beta using this formula
Unlevered Beta= Bu = Bl / 1+((1- Tax rate) x (D/E)
Let plug in the formula
Unlevered Beta= 1.083/1+((1-.25) x .333
(D/E) =1.083/1+(0.75*.333)
(D/E) =1.083/1+.24975
(D/E) =1.083/1.24975
(D/E)=0.87
Fourth Step is to calculate the Target D/e
Target D/e = .6/.25
Target D/e = 2.4
Fifth step is to calculate the New Beta using this formula
New Beta = bu* (1+(D/E)(1- tax rate)
Let plug in the formula
New Beta= .87 *(1+(2.4)*(.6)
New Beta= .87 *(1+1.44)
New Beta= .87 *2.44
New Beta=2.1228
Now let calculate the estimated cost of equity using this formula
rs = rRF + new beta (RPm)
Let plug in the formula
rs= 5% + 2.1228*6
rs= 17.74%
Therefore the estimated cost of equity will be 17.74%