The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A HPR of Bond B 20% -5% 12% 3% -15% 10% Other information: Standard deviation of the market portfolio is 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter8: Analysis Of Risk And Return
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The probabilities of different states of economy occurring and the holding period retum
(HPR) of the Stock A and Bond B at different states of economy are shown below.
State of
Economy
Boom
Normal
Recession
Probability of the
State of Economy
35%
45%
20%
HPR of Stock A
20%
12%
-15%
Other information:
Standard deviation of the market portfolio is 10%
HPR of Bond B
-5%
3%
10%
1. Calculate the standard deviation of Stock A.
2. Calculate the standard deviation of Bond B.
3. Calculate the correlation coefficient of Stock A and Bond B.
4.
Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B.
Calculate the standard deviation of the portfolio.
5. Out of the total variance of Stock A, 49% is systematic variance (explained
variance) and 51% is non-systematic variance (unexplained variance). Calculate
the beta of Stock A.
Transcribed Image Text:The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A 20% 12% -15% Other information: Standard deviation of the market portfolio is 10% HPR of Bond B -5% 3% 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.
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