Greta has risk aversion of A=5 when applied to return on wealth over a one-year horizon. She is pondering two portfollos, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 19%. The hedge fund risk premium is estimated at 9% with a standard deviation of 34%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) S&P Hedge a-2. What is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.) Expected nsk premium

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter12: Investing In Stocks And Bonds
Section: Chapter Questions
Problem 1FPE: What makes for a good investment? Use the approximate yield formula or a financial calculator to...
icon
Related questions
Question
Problem 7-23
Greta has risk aversion of A= 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P
500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk
premium is estimated at 7% per year, with a standard deviation of 19%. The hedge fund risk premium is estimated at 9% with a standard
deviation of 34%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years.
They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient
between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this
claim.
a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset
allocation? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
S&P
Hedge
a-2. What is the expected risk premlum on the portfolio? (Do not round intermediate calculations. Enter your answer as decimals
rounded to 4 places.)
Expected nsk premium
Transcribed Image Text:Problem 7-23 Greta has risk aversion of A= 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 19%. The hedge fund risk premium is estimated at 9% with a standard deviation of 34%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) S&P Hedge a-2. What is the expected risk premlum on the portfolio? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.) Expected nsk premium
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Risk and Return
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Finance
ISBN:
9780357033609
Author:
Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:
Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT