Question
1.An investor is considering the purchase of Gryphon stock, which has returns given in the table below. Scenario Probability Rate of Return Recession 0.12 -1%
1.An investor is considering the purchase of Gryphon stock, which has returns given in the table below.
Scenario Probability Rate of Return
Recession 0.12 -1%
Normal 0.44 12%
Boom 0.44 14%
a) Calculate the expected return and standard deviation of Gryphon. Round your answers to 2 decimal places.
E(r) =%
Std. Dev. =%
b) The investor decides to diversify by investing $10,000 in Gryphon stock and $9,000 in Royal stock which has an expected return of 11.5% and a standard deviation of 11%. The correlation coefficient for the two stocks' returns is 0.3. Calculate the expected return and standard deviation of the portfolio. Round your answers to 2 decimal places.Use the correct answers from the previous question.
E(rp) =%
Std. Dev =%
2.Consider a portfolio that contains two stocks. Stock "A" has an expected return of 10% and a standard deviation of 25%. Stock "B" has an expected return of 7% and a standard deviation of 17%. The proportion of your wealth invested in stock "A" is 35%. The correlation between the two stocks is -0.45.
a) What is the expected return of the portfolio? Enter your answer as a percentage. Do not include the percentage sign in your answer.
Enter your response below rounded to 2 DECIMAL PLACES.
b) What is the standard deviation of the portfolio? Enter your answer as a percentage. Do not include the percentage sign in your answer.
Enter your response below rounded to 2 DECIMAL PLACES.
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