The investment opportunities have
these characteristics:
|
Mean
Return
|
Standard
Deviation
|
|
Stocks
|
18.40%
|
13.40%
|
Bonds
|
12.00%
|
4.29%
|
Portfolio
|
16.48%
|
8.09%
|
The best choice depends on the
degree of your aversion to risk. Nevertheless, we suspect most people would
choose the portfolio over stocks since the portfolio has almost the same
return with much lower volatility. This is the advantage of diversification.
|
A stock will provide a rate of
return of either −27% or +35%.
|
a.
|
If both possibilities are equally
likely, calculate the expected return and standard deviation. (Do not round intermediate calculations. Round your answers
to 1 decimal place.)
|
Expected return
|
%
|
Standard deviation
|
%
|
b.
|
If Treasury bills yield 4% and
investors believe that the stock offers a satisfactory expected return, what
must the market risk of the stock be?
|
Market risk
|
$
|
Explanation:
a.
The expected rate of return on the
stock is 4.0%. The standard deviation is 31.0%.
|
b.
Because the stock offers a risk
premium of zero (its expected return is the same as the expected return for
Treasury bills), it must have no market risk. All the risk must be
diversifiable, and therefore of no concern to investors.
|
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