Assume that your utility function is equal to U = [E(r)] - Ao. You create a...

Transcribed Image Text:

Assume that your utility function is equal to U = [E(r)]² - Ao². You create a portfolio of one risky stock with the expected return of and standard deviation of p, and one risk-free stock with the expected return of rf. If you want to maximize your utility function, what portion of your wealth should go the risky stock? (10 points) Hint: Your answer will have a general format, represented in terms of given parameters (i.e., your final answer is not a number). To find the answer, plug in the expected return and variance formula for a portfolio of one risky asset and one risk-free asset, and then follow the first order condition (FOC) rule, similar to what we did in class to maximize a quadratic utility function. Note that the difference between this utility and the one we worked with in class. Assume that your utility function is equal to U = [E(r)]² - Ao². You create a portfolio of one risky stock with the expected return of and standard deviation of p, and one risk-free stock with the expected return of rf. If you want to maximize your utility function, what portion of your wealth should go the risky stock? (10 points) Hint: Your answer will have a general format, represented in terms of given parameters (i.e., your final answer is not a number). To find the answer, plug in the expected return and variance formula for a portfolio of one risky asset and one risk-free asset, and then follow the first order condition (FOC) rule, similar to what we did in class to maximize a quadratic utility function. Note that the difference between this utility and the one we worked with in class.

Answer rating: 100% (QA)

U Er A let to be weight of risky stock 1W be weight of riskfree stock Expected r... View the full answer