# how to calculate NPV using WACC

Question

Acme, Inc.

Balance Sheets as of 12/31/09 and 12/31/10

(\$ in thousands)

2007      2008                                                      2007        2008

Cash                     \$ 2650    2810                 accounts payable          \$ 1350     \$ 1000

Accounts rec.         980        840                 long-term debt               3300        3300

Inventory               1560      1990                 common stock             3200        3500

Total                     \$ 5190     5640              retained earnings            940         1200

Net fixed assets     3600       3360

Total asset            \$ 8790     \$ 9000          total liabilities & equity \$ 8790      \$ 9000

Notes to Financial Statements: The rate and amount of the Company’s total long-term, fixed rate debt outstanding for the Company in 2009 and 2010 remained unchanged. The 12/31/10 market rate on debt for companies with a similar risk profile and maturity as Acme’s was 12%. The market value of Acme’s long-term debt on 12/31/10 was \$3 million. Acme’s market capitalization on 12/31/10 was \$6 million. As of 12/31/10, the risk free rate was 3%, the expected market rate of return was 11%, and Acme’s beta was 1.50. Due to a large net-operating-loss-cany-forward and substantial tax credits, Acme paid no taxes in 2009 and 2010, and it is NOT expected that the Company will be paying any taxes in the next 5 years.

Based on the financial statements above, if Acme was considering investing in a project that is expected to yield after-tax cash flow of \$1,000 million, \$2,500 million, and \$3,000 million, in years 1 through 3 respectively, with no further income or salvage value beyond year 3, please determine the NPV using the WACC that you calculated above, and an investment in year zero of \$4,000 million. Should Acme invest in this project?

a. No because the NPV is -\$1.235 million.

b. No because the NPV is -\$0,826 million.

c. No because the NPV is \$0,537 million.

d. Yes because the NPV is \$0,826 million.

e. Yes because the NPV is \$1.235 million.

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