Here is the problem: Famas's LLamas has a weighted average cost of capital of  7.9%. The company's cost of equity is 11% and its pretaxt cost of debt is 5.8%. The taxt rate is 25%. What is the company's target debt-equity ratio? Here is the solution: Here we have the WACC and need to find the debt-equity ratio of the company. Setting up the WACC equation, we find:          WACC = .0790 = .11(E/V) + .058(D/V)(1 – .25)          Rearranging the equation, we find:          .0790(V/E) = .11 + .058(.75)(D/E)          Now we must realize that the V/E is just the equity multiplier, which is equal to:          V/E = 1 + D/E          .0790(D/E + 1) = .11 + .0435(D/E)             Now we can solve for D/E as:          .0355(D/E) = .031               D/E = .8732   Question: I need help especifically with the part where they rearrange the equation as: .0790(V/E) = .11 + .058(.75)(D/E). How do they get an inverse (V/E) on the left side without the .11. And how do they get a (D/E) ratio. I understand the rest of the problem. Thanks

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Here is the problem:

Famas's LLamas has a weighted average cost of capital of  7.9%. The company's cost of equity is 11% and its pretaxt cost of debt is 5.8%. The taxt rate is 25%. What is the company's target debt-equity ratio?

Here is the solution:

Here we have the WACC and need to find the debt-equity ratio of the company. Setting up the WACC equation, we find:

 

       WACC = .0790 = .11(E/V) + .058(D/V)(1 – .25)

 

       Rearranging the equation, we find:

 

       .0790(V/E) = .11 + .058(.75)(D/E)

 

       Now we must realize that the V/E is just the equity multiplier, which is equal to:

 

       V/E = 1 + D/E

 

       .0790(D/E + 1) = .11 + .0435(D/E)   

 

       Now we can solve for D/E as:

 

       .0355(D/E) = .031  

            D/E = .8732

 

Question:

I need help especifically with the part where they rearrange the equation as:

.0790(V/E) = .11 + .058(.75)(D/E).

How do they get an inverse (V/E) on the left side without the .11. And how do they get a (D/E) ratio.

I understand the rest of the problem. Thanks

 

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