Question

In: Finance

Arlo is risk averse with mean variance utility and coefficient of risk aversion A=2. Which of...

Arlo is risk averse with mean variance utility and coefficient of risk aversion A=2. Which of the following portfolios would Arlo prefer?

a. A risk free portfolio with return of 6%.

b. μ=7%,σ=10%

c. μ=10%,σ=20%

d. μ=15%,σ=30%

e. They all provide the same utility.

Solutions

Expert Solution

1.
=6%-0.5*2*0%*0%=0.06

2.
=7%-0.5*2*10%*10%=0.06

3.
=10%-0.5*2*20%*20%=0.06

4.
=15%-2*0.5*30%*30%=0.06

Option E


Related Solutions

Suppose you have a risk-aversion coefficient of 3.0, and utility function of,U=?[?]−1/2??squared , that uses your...
Suppose you have a risk-aversion coefficient of 3.0, and utility function of,U=?[?]−1/2??squared , that uses your estimate of annual arithmetic returns (APR) and variance. Which index wouldyou invest in? Date North_America Japan Asia_exJapan Europe Global Rf 199007 -0.82% 0.78% 4.85% 5.05% 1.47% 0.68% 199008 -8.93% -11.25% -7.82% -10.20% -10.10% 0.66% 199009 -5.41% -17.43% -8.25% -11.74% -11.64% 0.60% 199010 -1.33% 25.59% -1.58% 7.27% 10.26% 0.68% 199011 6.43% -13.52% -2.29% 0.17% -3.30% 0.57% 199012 3.11% 2.34% -0.61% -0.95% 1.63% 0.60% 199101 4.73%...
Answer questions 10-14 following this information. Mean -variance investor risk aversion (RA) level is 2. The...
Answer questions 10-14 following this information. Mean -variance investor risk aversion (RA) level is 2. The expected return and standard deviation of three assets classes are as bellow, Assets Class Expected Return Standard deviation of return A 10% 25% B 8% 15% C 6% 12% risk- free rate of return is 3% and the short fall level is 5% select the investors. (12) Risk adjusted rate of return (Expected utility) is, A. 7.98%, 5.97% and 9.94% B. 5.97%, 9.94% and...
An investor with a risk aversion coefficient of A=2.5 is considering forming a portfolio with a...
An investor with a risk aversion coefficient of A=2.5 is considering forming a portfolio with a risk-free and a risky asset. The risk-free rate is 4%, the risky asset has an expected return of 12% with a standard deviation of 20%. (a) Calculate a utility table with weights in 10% increments (0%, 10%, 20%, … 100%) between risk-free and risky asset. (b) Find the set of weights that maximizes the utility for such investor.
Assume an investor has a coefficient of risk aversion, A = 5, then use the information...
Assume an investor has a coefficient of risk aversion, A = 5, then use the information in the table below (along with Excel) to find i) the utility-maximizing portfolio weights ii) the expected return of the portfolio iii) the volatility of the portfolio                 Covariance Matrix Asset E(R) AAA BBB CCC DDD EEE AAA 5.00% AAA 0.30 0.10 0.20 0.08 0.10 BBB 7.00% BBB 0.10 0.25 0.10 0.10 0.20 CCC 12.00% CCC 0.20 0.10 0.36 0.10 0.22 DDD 14.00% DDD...
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U = Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per...
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U =√Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per day....
Explain why diminishing marginal utility implies that a decision-maker will be risk-averse.
Explain why diminishing marginal utility implies that a decision-maker will be risk-averse.
Expected - utility theory tells us that a risk - averse individual would want to be...
Expected - utility theory tells us that a risk - averse individual would want to be paid a risk premium to induce her to voluntarily accept risk. Or, alternatively, the risk - averse individual would have to be offered odds that were in her favor in order to induce h er to gamble. Here, “odds” refer to the probability of loss/gain and/or the magnitude of the loss/gain. Ms . Jane’s utility function is U( I ) = ( 10 0...
Please write the equation associated with (definition of) the Arrow- Pratt risk aversion coefficient, indicating the...
Please write the equation associated with (definition of) the Arrow- Pratt risk aversion coefficient, indicating the likely values (positive or negative) of the first and second derivatives of the utility function.
What does it mean when we say an animal is risk averse?
What does it mean when we say an animal is risk averse?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT