Answer:
15.29%
Explanation:
Calculation to determine What would be the estimated cost of equity if the firm used 60% debt
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%)/6%
Original beta= 6.5%/ 6%
Original beta= 1.083
Second step is to calculate the 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 the 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-.4) x .333
Unlevered Beta=.90
Fourth step is to calculate the Target using this formula
Target =D/e
Let plug in the formula
Target = .6/.4
Target= 1.5
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 = .90 *(1+(1.5)*(.6)
New Beta = 1.71
Now let calculate the estimated cost of equity using this formula
rs = rRF + new beta (RPm)
Let plug in the formula
rs= 5% + 1.71*6
rs= 15.29%
Therefore What would be the estimated cost of equity if the firm used 60% debt is 15.29%
