A project will cost $30 in year 1 and generate earnings before interest, taxes and depreciation of $20 in year 1, $15 in year 2 and $10 in year 3. The inital cost is to be linearly depreciated over...

A project will cost $30 in year 1 and generate earnings before interest, taxes and depreciation of $20 in year 1, $15 in year 2 and $10 in year 3. The inital cost is to be linearly depreciated over three years.

The company has a marginal corporate income tax rate of 21% and the appropriate unlevered cost of capital for the project is 12%.

a: What is the NPV of the project if the firm is all equity-financed?

b: What is the APV of the project if the firm uses $30 debt finance in the first year at an expected rate of return of 5%? The company will pay interest in years 2 and 3 and pay off the loan in year 3