Answer:
The cost of equity is 32%
Explanation:
The formula for calculating firm's cost of equity according Miller and Modgiliani is given as:
r levered=r unlevered+(debt/equity*(r unlevered -cost of debt)*(1-tax)
r unlevered is the cost of an unlevered equity=16%
debt=$500000
cost of debt=12%
equity=unknown
Hence we need to first of all calculate the total value of the firm and the formula is
EBIT(1-tax)/unlevered cost of equity+(debt*tax)
$100000(1-0.25)/16%+($500000*25%)=$593750
r levered=16%+($500000/($593750-$500000)*(16%-12%)*(1-0.25)
r levered=0.32 that is 32%