Question

In: Finance

You are a consultant to a firm evaluating an expansion of its current business. The annual...

You are a consultant to a firm evaluating an expansion of its current business. The annual cash flow forecasts (in millions of dollars) for the project are:

           

Years Annual Cash Flow
0 -83
1 - 10 11

       

Based on the behaviour of the firm's stock, you believe that the beta of the firm is 1.4. Assuming that the rate of return available on risk-free investments is 6% and that the expected rate of return on the market portfolio is 14%, what is the net present value of the project? (Round your answer to 2 decimal places.)
NPV      $  million

Solutions

Expert Solution

Cost of equity = Risk free return +Beta ( Market return - Risk free return)

= 6% + 1.4 ( 14% -6%)

= 17.2%

Particulars Years Cash Flows PVF @ 17.2% PV
Cash flow 0               (83.00)                1.00                 (83.00)
Cash flow 1                 11.00                0.85                     9.39
Cash flow 2                 11.00                0.73                     8.01
Cash flow 3                 11.00                0.62                     6.83
Cash flow 4                 11.00                0.53                     5.83
Cash flow 5                 11.00                0.45                     4.97
Cash flow 6                 11.00                0.39                     4.24
Cash flow 7                 11.00                0.33                     3.62
Cash flow 8                 11.00                0.28                     3.09
Cash flow 9                 11.00                0.24                     2.64
Cash flow 10                 11.00                0.20                     2.25
Net present value                 (32.13)

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