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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. a. Suppose you believe that the beta of the firm is 0.4. 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%

Answer :

Shahzaibfaraz

Answer:

PV or value of the firm = $147058.8235

Explanation:

To calculate the worth of the firm, we first need to determine the required rate of return of this firm. Using the CAPM equation, we calculate the required rate of return to be,

r = rRF + Beta * (rM - rRF)

Where,

  • rRF is the risk free rate
  • rM is the return on market

r = 0.04 + 0.4 * (0.11 - 0.04)

r = 0.068 or 6.8%

As the firm is expected to generate a constant cash flow forever, it can be treated as a perpetuity. To calculate the value of the firm, we use the present value of perpetuity. The formula for present value of perpetuity is,

PV = Cash flow / r

Where,

  • r is the required rate of return

PV or value of the firm = 10000 / 0.068

PV or value of the firm = $147058.8235

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