Question

In: Finance

Your client would like to invest $15,000 in both the risk-free asset with return of rf...

Your client would like to invest $15,000 in both the risk-free asset with return of rf = 1% and the risky portfolio with expected return of μm = 8% and standard deviation of σm = 25%. Her utility function is U(μ,σ)=μ−ασ2, where her risk aversion is 1.5.

a.How much should you invest in the risky portfolio so that she can receive the greatest utility?

b. What is the expected return of this optimal portfolio?
c. What is the standard deviation of the returns of this optimal portfolio?

d. Suppose that your risky portfolio consists of 70% Stock A and 30% Stock B. What are the investment proportions of your client’s overall portfolio in Stock A, B, and risk-free asset?

Solutions

Expert Solution

SEE THE IMAGE. ANY DOUBTS, FEEL FREE TO ASK. THUMBS UP PLEASE


Related Solutions

You invest all your money into a risky asset and a risk-free asset. The risky asset...
You invest all your money into a risky asset and a risk-free asset. The risky asset has an expected return of 0.065 and a standard deviation of 0.25, the risk-free asset returns 0.025. What is the return on your combined portfolio if you invest 0.4 in the risky asset, and the remainder in the risk-free asset? Round your answer to the fourth decimal point.
Your client chooses to invest 40% in your portfolio (p) and 60% (f) in the risk-free asset. What is the standard deviation of your client’s portfolio?
You are a manager of a risky portfolio (consists of bonds and stocks) with an expected return E(rp) = 8% and standard deviation stdevp = 12%. The risk free rate rf = 2% and the standard deviation of the risk free asset is stdevf = 0% 7. Your client chooses to invest 40% in your portfolio (p) and 60% (f) in the risk-free asset. What is the expected return?1. Your client chooses to invest 40% in your portfolio (p) and...
Assume that the risk-free rate, Rf = 5%; the expected rate of return on the market,...
Assume that the risk-free rate, Rf = 5%; the expected rate of return on the market, E(Rm)= 11%; and that the standard deviation of returns on the market portfolio is σM =20%. Calculate the expected return and standard deviation of returns for portfolios that are 25%, 75%, and 125% invested in the market portfolio.
The risk-free asset has a return of 1.62%. The risky asset has a return of 8.82%...
The risk-free asset has a return of 1.62%. The risky asset has a return of 8.82% and has a variance of 8.82%. Karen has the following utility function: LaTeX: U=a\times\sqrt{r_{c\:}}-b\times\sigma_cU = a × r c − b × σ c, with a=1.3 and b=8.78. LaTeX: r_cr c and LaTeX: \sigma_cσ c denote the return and the risk of the combined portfolio. The optimal amount to be invested in the risky portfolio is 33.85% . (Note: this solution does not necessarily...
Assume the risk-free rate is 4% (rf = 4%), the expected return on the market portfolio...
Assume the risk-free rate is 4% (rf = 4%), the expected return on the market portfolio is 12% (E[rM] = 12%) and the standard deviation of the return on the market portfolio is 16% (σM = 16%). (All numbers are annual.) Assume the CAPM holds. *PLEASE HELP WITH E-H; INCLUDED ADDITIONAL QUESTIONS FOR REFERENCE* 1a. What are the expected returns on securities with the following betas: (i) β = 1.0, (ii) β = 1.5, (iii) β = 0.5, (iv) β...
Assume that the risk-free rate, RF , is currently 8%; the market return, rm, is 12%;...
Assume that the risk-free rate, RF , is currently 8%; the market return, rm, is 12%; and asset A has a beta, of 1.10. a. Draw the security market line (SML) b. Use the CAPM to calculate the required return on asset A, and depict asset A’s beta and required return on the SML drawn in part a. c. Assume that as a result of recent economic events, inflationary expectations have declined by 2%, lowering RF and RM to 6%...
Assume that the risk-free rate, RF , is currently 8%; the market return, rm, is 12%;...
Assume that the risk-free rate, RF , is currently 8%; the market return, rm, is 12%; and asset A has a beta, of 1.10. a. Draw the security market line (SML) b. Use the CAPM to calculate the required return on asset A, and depict asset A’s beta and required return on the SML drawn in part a. c. Assume that as a result of recent economic events, inflationary expectations have declined by 2%, lowering RF and RM to 6%...
Your client has a two-asset portfolio with equal weighting and the following characteristics: Return Risk(σ) Asset...
Your client has a two-asset portfolio with equal weighting and the following characteristics: Return Risk(σ) Asset A 5% 20% Asset B 10% 30% If the correlation coefficient between assets A and B is 0.6, what is the standard deviation of the 2-assst portfolio?
If I would like to invest $15,000 today and have it grow to $2 million by...
If I would like to invest $15,000 today and have it grow to $2 million by the time I retire, how long will I need wait if my money earns 8.75%? Round the answer to the nearest whole number.
If the expected return on a risky asset is 13%, standard deviation is 25%, and the risk free asset 5%.
If the expected return on a risky asset is 13%, standard deviation is 25%, and the risk free asset 5%.Calculate the expected return , standard deviation, sharp ratio for the complete portfolio with y= .60
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT