CAPM and Valuation. You are considering acquiring a firm that you believe can generate expected cash flows of $10,000 a year forever. However, you recognize that those cash flows are uncertain. (LO12-2) a. Suppose you believe that the beta of the firm is .4. How much is the firm worth if the risk- free rate is 4% and the expected rate of return on the market portfolio is 11%

The value of the firm or worth of the firm is $147058.82 rounded off to 2 decimal places

Explanation:

We first need to calculate the required rate of return for this firm that will be used as the discount rate in the valuation of the firm using the discounted cash flow methods.

Using the CAPM we can calculate the required rate of return as,

r = rRF + Beta * (rM - rRF)

Where,

So,

r = 0.04 + 0.4 * (0.11 - 0.04)

r = 0.068 or 6.8%

As the cash flows the firm can generate are expected to remain constant through out and they are generated after equal interval of time, this can be treated as a perpetuity.

The present value of a perpetuity is calculated as follows,

Present Value of perpetuity = Cash Flow / r

Present value of perpetuity = 10000 / 0.068

Present value of perpetuity = $147058.8235

So, the value of the firm or worth of the firm is $147058.82 rounded off to 2 decimal places

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