Lebleu, Incorporated, is considering a project that will result in initial aftertax cash savings of $1.73 million at the end of the first year, and these savings will grow at a rate of 3 percent per year indefinitely. The firm has a target debt-equity ratio of .85, a cost of equity of 11.3 percent, and an aftertax cost of debt of 4.1 percent. The cost-saving proposal is somewhat riskier than the usual project the firm undertakes; management uses the subjective approach and applies an adjustment factor of +2 percent to the cost of capital for such risky projects. What is the maximum initial cost the company would be willing to pay for the project? (Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to the nearest whole number, e.g., 1,234,567.)

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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Lebleu, Incorporated, is considering a project that will result in initial aftertax cash savings of $1.73 million at the end of the first year, and these savings will grow at a rate of 3 percent per year indefinitely. The firm has a target debt-equity ratio of .85, a cost of equity of 11.3 percent, and an aftertax cost of debt of 4.1 percent. The cost-saving proposal is somewhat riskier than the usual project the firm undertakes; management uses the subjective approach and applies an adjustment factor of +2 percent to the cost of capital for such risky projects. What is the maximum initial cost the company would be willing to pay for the project? (Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to the nearest whole number, e.g., 1,234,567.)

 

The answer I got is $24,749.643 and it is incorrect. This is my work

Find WACC = (weight of debt x after tax cost of debt ) + (weight of equity x cost of equity)

  =(debt/total capital x after tax cost of debt ) + (equity/total capital x cost of equity)

  = (.85/1+.85 x 4.1%) + ( 1/1+.85 x 11.3%)

  = 1.883783878% + 6.108108

  =7.99%

Calculation of net present value- don’t forget to add 2% due to riskiness

  = after tax cash flow / discount rate

  = $1,730,000 / 9.99% - 3%

  = $1,730,000 / 6.99%

  = $24,749,642

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