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White raven [17]
3 years ago
11

Assume that the risk-free rate of interest is 3% and the expected rate of return on the market is 15%. I am buying a firm with a

n expected perpetual cash flow of $2,000 but am unsure of its risk. If I think the beta of the firm is 0.8, when in fact the beta is really 1.6, how much more will I offer for the firm than it is truly worth
Business
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

The correct solution is "$6,564.01". A further solution is given below.

Explanation:

The given values are:

beta,

= 1.6

market return,

= 15%

cash flow,

= $2,000

risk free rate of interest,

= 3%

Now,

The stock return will be:

= 3+ 1.6\times (15-3)

= 3+ 1.6\times 12

= 22.2 \ percent

The actual worth of the firm will be:

= \frac{cash \ flow}{rate \ of \ return}

= \frac{2000}{22.2 \ percent}

= \frac{2000}{0.222}

= 9,009

With 0.8 beta, the stock return will be:

= 3+ 0.8\times (15-3)

= 3+ 0.8\times 12

= 12.6 \ percent

So that I'm paying for the firm,

= \frac{2000}{12.6 \ percent}

= \frac{2000}{0.126}

= 15,573.01 ($)

Hence,

I'm paying,

= 15,573.01-9,009

= 6,564.01 ($)

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