Answer: First, we need to calculate the amount of debt and equity based on the debt-to-equity ratio:
Debt-to-equity ratio = Debt / Equity
2 = Debt / Equity
Equity = Debt / 2
Equity = ($110,000,000 - Debt) / 2
Next, we can calculate the amount of interest paid on the debt:
Interest = $2,000,000
We can calculate the amount of earnings before interest and taxes (EBIT):
EBIT = Sales - Costs - Depreciation
EBIT = $59,000,000 - $45,000,000 - $5,000,000
EBIT = $9,000,000
We can then calculate the amount of earnings after taxes (EAT):
EAT = EBIT x (1 - Tax rate)
EAT = $9,000,000 x (1 - 0.29)
EAT = $6,390,000
Finally, we can calculate the return on equity (ROE):
ROE = EAT / Equity
ROE = $6,390,000 / (($110,000,000 - Debt) / 2)
Since we don't have a specific value for the amount of debt, we cannot calculate the exact ROE. However, we can say that as the amount of debt increases, the ROE will decrease because there will be more interest payments to be made, which will reduce the earnings available for equity holders.
Enjoy!