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you are a consultant to a firm evaluating an expansion of its current business. The cash flow forecasts (in millions of dollar) for the project as follows: on the basis of the behavior of the firm's stock, you believe that the beta of the firm is 1.30. Assuming that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 15% what is the net present value of the project

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Kolawole845

Question

you are a consultant to a firm evaluating an expansion of its current business. The cash flow forecasts (in millions of dollar) for the project as follows:

Year     cashflow

0           -100

1-10            15

0n the basis of the behavior of the firm's stock, you believe that the beta of the firm is 1.30. Assuming that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 15% what is the net present value of the project

Answer:

NPV= -$32.58

Explanation:

The net present value of the investment is the cash inflow from the investment discounted at required rate of return. The required rate of return can be determined using the the formula below:

Ke= Rf +β(Rm-Rf)  

Ke =? , Rf- 5%,, Rm-15%, β- 1.30

Ke=5% + 1.30× (15-5)=  18%

The NPV = Present value of cash inflow - initial cost

 =  A×(1-(1+r)^(-10)/r  - initial cost

A- 15, r-18%

NPV = 15× (1-1.18^(-10)/0.18 - 100= -32.58

NPV = -$32.58

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