1a)Using sample average returns and standard deviations of the volatility strategy discussed in class, calculate the optimal proportion that a mean-variance utility investor would invest in the volatility strategy in the following scenarios:

Risk-free rate is 0.50% and gamma = 5.

Enter your answer in percentage points with two decimal places.

1b)Using sample average returns and standard deviations of the volatility strategy discussed in class, calculate the optimal proportion that a mean-variance utility investor would invest in the volatility strategy in the following scenarios:

Risk-free rate is 0.75% and gamma = 3.

Enter your answer in percentage points with two decimal places.

1c)Using sample average returns and standard deviations of the volatility strategy discussed in class, calculate the optimal proportion that a mean-variance utility investor would invest in the volatility strategy in the following scenarios:

Risk-free rate is 0.50% and gamma = 3.

Enter your answer in percentage points with two decimal places

Please provide step-by-step calculations by plugging in all numbers