Question
An investor is considering the purchase of Gryphon stock, which has returns given in the table below. Scenario Probability Rate of Return Recession 0.11 -3%
An investor is considering the purchase of Gryphon stock, which has returns given in the table below.
Scenario | Probability | Rate of Return |
Recession | 0.11 | -3% |
Normal Economy | 0.41 | 5% |
Boom | 0.48 | 9% |
a. Calculate the expected return and standard deviation of Gryphon. Round your answers to 2 decimal places.
Enter your answers below.
E(r) = 6.04 %
Std. Dev. = 3.690.01 %
b. The investor decides to diversify by investing $9,000 in Gryphon stock and $10,000 in Royal stock, which has an expected return of 10% and a standard deviation of 14%. The correlation coefficient for the two stocks' returns is 0.8. Calculate the expected return and standard deviation of the portfolio. Round your answers to 2 decimal places.
Enter your answers below.
E(rp) = 8.12
Std. Dev. = 8.830.01
c. Suppose the investor decides to invest an additional $2,500 in a treasury bill yielding 5%. What will be the expected return and standard deviation of this portfolio.
Round your answers to 2 decimal places.
E(rp) =
Std. Dev. =
please answer question c
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