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Harman [31]
3 years ago
15

You are considering acquiring a firm that you believe can generate expected cash flows of $11,000 a year forever. However, you r

ecognize that those cash flows are uncertain.
a.Suppose you believe that the beta of the firm is .5. How much is the firm worth if the risk-free rate is 5% and the expected rate of return on the market portfolio is 10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of the firm$
b.By how much will you overvalue the firm if its beta is actually .7? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Overvaluation$
Business
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

1. $146,666.67

2. $129,411.76

Explanation:

In this question, we apply the Capital Asset Pricing Model (CAPM) formula which is shown below

Expected rate of return = Risk-free rate of return + Beta × (Market rate of return - Risk-free rate of return)

1. For computing the value of the firm, first we have to compute the Expected rate of return  which is shown below:

= 5% + 0.5 × (10% - 5%)

= 5% + 0.5 × 5%

= 5% + 2.5%

= 7.5%

Now the value of firm would be

= Expected cash flows  ÷ Expected rate of return

= $11,000 ÷ 7.5%

= $146,666.67

2. If beta is 0.7, then the expected rate of return and the value of firm would be

= 5% + 0.7 × (10% - 5%)

= 5% + 0.7 × 5%

= 5% + 3.5%

= 8.5%

Now the value of firm would be

= Expected cash flows  ÷ Expected rate of return

= $11,000 ÷ 8.5%

= $129,411.76

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