8 Given the cost of debt before tax 45 the cost of capital for operations 6 and your estimate of the total equity market value from part 4 what is the implied cost of capital for equity

To calculate the implied cost of capital for equity, we can use the following formula:

Cost of capital = (Cost of debt x (1 - Tax rate) x Debt-to-total capital ratio) + (Cost of equity x Equity-to-total capital ratio)

We are given the following information:

• Cost of debt before tax = 4.5%
• Cost of capital for operations = 6%
• Total equity market value (from part 4) = $80 million

We need to find the implied cost of equity, so we can rearrange the formula as follows:

Cost of equity = (Cost of capital - (Cost of debt x (1 - Tax rate) x Debt-to-total capital ratio)) / Equity-to-total capital ratio

Assuming a tax rate of 30% and a debt-to-total capital ratio of 40%, we get:

Cost of equity = (6% - (4.5% x (1 - 0.3) x 0.4)) / (1 - 0.4) Cost of equity = (6% - 1.26%) / 0.6 Cost of equity = 9.9%

Therefore, the implied cost of capital for equity is 9.9%