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Suppose that a local restaurant is trying to evaluate the value of adding a food

ID: 2769175 • Letter: S

Question

Suppose that a local restaurant is trying to evaluate the value of adding a food truck to their business. The restaurant is financed with a bank loan (debt) at 9.00% per year, and has owners (equity) who want a 15.00% annual return on their investment in the business. The owners will raise money for the food truck with a ratio of 50.00% debt and 50.00% equity. The tax rate facing the firm is 34.00%.

The owners have estimated that the food truck will create an annual after-tax cash flow of $75,000.00 for the business. The cost of the food truck will cost $208,729.00 today. The project will be evaluated over a 5-year period.

What is the NPV of this project for the restaurant?

Explanation / Answer

WACC = Wd×Rd×(1-t)+We×Ke

W is weights of respective portfolios

R is return on respective portfolios

Wd+We = 1

= 0.50×9%×(1-34%)+0.50×15%

= 10.47%

Year Cash flow PVF@10.47% Present value 0 $                                                  (208,729) 1.000 $                                 (208,729.00) 1 $                                                      75,000 0.905 $                                      67,891.74 2 $                                                      75,000 0.819 $                                      61,457.17 3 $                                                      75,000 0.742 $                                      55,632.45 4 $                                                      75,000 0.671 $                                      50,359.78 5 $                                                      75,000 0.608 $                                      45,586.84 Net present value $                                      72,198.98 Project should be accepted.
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