In: Finance
Based on market values, Gubler's Gym has an equity multiplier of 1.67 times. Shareholders require a return of 11.75 percent on the company's stock and a pretax return of 5.05 percent on the company's debt. The company is evaluating a new project that has the same risk as the company itself. The project will generate annual aftertax cash flows of $319,000 per year for 8 years. The tax rate is 39 percent. What is the most the company would be willing to spend today on the project?
A/E = 1.67
E/A = 1/1.67=0.5988
D/A = 1-E/A = 1-0.5988=0.4012
After tax cost of debt = cost of debt*(1-tax rate) |
After tax cost of debt = 5.05*(1-0.39) |
= 3.0805 |
WACC=after tax cost of debt*W(D)+cost of equity*W(E) |
WACC=3.08*0.4012+11.75*0.5988 |
WACC =8.27% |
Project | |||||||||
Discount rate | 8.2718170% | ||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Cash flow stream | 0 | 319000 | 319000 | 319000 | 319000 | 319000 | 319000 | 319000 | 319000 |
Discounting factor | 1.000 | 1.083 | 1.172 | 1.269 | 1.374 | 1.488 | 1.611 | 1.744 | 1.889 |
Discounted cash flows project | 0.000 | 294628.841 | 272119.606 | 251330.044 | 232128.777 | 214394.459 | 198015.019 | 182886.946 | 168914.636 |
NPV = Sum of discounted cash flows | |||||||||
NPV Project = | 1814418.33 | ||||||||
Where | |||||||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||||||
Discounted Cashflow= | Cash flow stream/discounting factor |