A well noted financial forecaster has provided the following expected returns and probability
A well noted financial forecaster has provided the following expected returns and probability information for three stocks and the market.
Associated Rate | |||||
of Return | |||||
State of the Economy | Probability of State Occurring | Stock | Stock | Stock | Stock Market |
A | B | C | M | ||
Boom | 0.35 | 15.00% | 45.00% | -8.00% | 18.00% |
Normal | 0.4 | 7.00% | 15.00% | 6.00% | 10.00% |
Recession | 0.25 | -1.00% | -15.00% | 18.00% | -2.00% |
a. Calculate the expected rate of return for stock A, stock B, stock C and the market portfolio.
b. Calculate the standard deviation for stock A, stock B, stock C and the market portfolio.
c. Calculate the correlation coefficient for stock A, stock B and stock C. (Hint: this is not one number.)
d. Calculate the expected return for a portfolio consisting of 30% stock A, 40% stock B and 30% stock C.
e. Calculate the standard deviation of the portfolio consisting of 30% stock A, 40% stock B and 30% stock C.
f. Is there any benefit in combining these three stocks in a portfolio.
g. Calculate the Beta of stock A, stock B and stock C.
NOTE: the formula for a the variance of a three stock portfolio would be:
Variance of portfolio = WA^2StdevA^2+WB^2StdevB^2+WC^2StdevC^2+
2WAWBStdevAStdevBCORRAB+2WAWCStdevAStdevCCORRAC+2WBWCStdevBStdevCCORRBC
11 years ago
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- a_well_noted_financial_.xls