Here is the question: AGN Inc has a WACC of 5.9%, a cost of debt of 4.6% and a cost of equity of 7.2%. AGN's tax rate is 20%. What is AGN's capital structure weight of debt? Report your answer as a decimal rounded to 4 decimal places.

Note: AGN has no preferred equity.

------------------------------------------------------------------------

My thoughts:

We are using the WACC formula where WACC = (Capital Structure Weight of Equity * Cost of Equity) + (Capital Structure Weight of Debt * Cost of Debt) * (1 - Tax Rate).

We can fill that formula in, but still have unknowns for two variables: Weight of Equity and Weight of Debt. Based on the fact that our end goal is Debt and that there is a note provided about preferred equity I assume we need to first find a way to solve for Capital Structure Weight of Equity with the given information.

We already have Cost of Equity and trying to work backwards to CAPM doesn't help and isn't possible.

We don't know the Market Capitalization or market value of the firm to try and calculate the Capital Structure Weight of Equity and as its a fake company we can't search the data.

It provides the note that we have no preferred equity, but that doesn't change the base formula. If we had preferred equity we could add a third term to the equation, but by saying we don't have any doesn't tell us how much standard equity we actually have. Just that it is all standard as far as I know.

Any help on how to calculate the Capital Structure Weight of Equity would be greatly appreciated.