In: Finance
You are a consultant to a firm evaluating an expansion of its current business. The cash-flow forecasts (in millions of dollars) for the project are as follows: Years Cash Flow
0 – 100
1-10 + 17
On the basis of the behavior of the firm’s stock, you believe that the beta of the firm is 1.32. Assuming that the rate of return available on risk-free investments is 3% and that the expected rate of return on the market portfolio is 16%, what is the net present value of the project? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions of dollars rounded to 2 decimal places.)
Required return=risk free rate+beta*(market rate-risk free rate)
=3+(16-3)*1.32
=20.16%
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=17*[1-(1.2016)^-10]/0.2016
=17*4.16980217
=$70.89 million
NPV=Present value of inflows-Present value of outflows
=70.89-100
=$-29.11 million(Approx)(Negative)