Question

Your client would like to invest $10,000 in two risky assets A and B where Stock...

Your client would like to invest $10,000 in two risky assets A and B where

Stock A has an expected return of 4% and standard deviation of 10%

Stock B has an expected return of 6% and standard deviation of 20%

correlation (A,B)=0.5

Her utility function is U(μ, σ) = μ − ασ2, where her risk aversion is 3. How much should you invest in stock A and B so that she can receive the greatest utility?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Portfolio return is M = w*4%+(1-w)*6%

Portfolio SD, S= ((w*10%)^2+((1-w)*20%)^2+2*w*(1-w)*10%*20%*0.5)^.5

Utility = M - 3*S^2

Then we use Excel solver to maximize utility

Add a comment
Know the answer?
Add Answer to:
Your client would like to invest $10,000 in two risky assets A and B where Stock...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The universe of available securities includes two risky stocks A and B, and a risk-free asset....

    The universe of available securities includes two risky stocks A and B, and a risk-free asset. The data for the universe are as follows: Assets Expected Return Standard Deviation Stock A 6% 25% Stock B 12% 42% Risk free 5% 0 The correlation coefficient between A and B is -0.2. The investor maximizes a utility function U=E(r)−σ2 (i.e. she has a coefficient of risk aversion equal to 2). Assume that to maximize his utility when there is no available risk-free...

  • Your client has $102,000 invested in stock A. She would like to build a two-stock portfolio...

    Your client has $102,000 invested in stock A. She would like to build a two-stock portfolio by investing another $102,000 in either stock B or C. She wants a portfolio with an expected return of at least 15.5% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A...

  • Your client has $96,000 invested in stock A. She would like to build a two-stock portfolio...

    Your client has $96,000 invested in stock A. She would like to build a two-stock portfolio by investing another $96,000 in either stock B or C. She wants a portfolio with an expected return of at least 15.5% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? A Expected Return 17% 14% 14% Standard...

  • Your client has $102.000 invested in stock A She would like to build a two-stock portfolio...

    Your client has $102.000 invested in stock A She would like to build a two-stock portfolio by investing another $102,000 in other lock Bor C She wants a portfolio with an expected return of at least 14.0% and as low a risk as possible, but the standard deviation must be no more than 40% What do you advise her lo do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A 50%...

  • Mary has access to risky stocks A and B. But she has no access to risk-free...

    Mary has access to risky stocks A and B. But she has no access to risk-free T-bills. The two assets have the following characteristics: Stock A: Expected return= 12.5% per annum, Standard deviation=14% per annum Stock B: Expected return = 5% per annum. Standard deviation=8% per annum The correlation coefficient between retum on stock A and return on stock B is 0.10 Mary's utility function U = E(R)- Ao and her coefficient of risk aversion is equal to 3 a)...

  • Mary has access to risky stocks A and B. But she has no access to risk-free...

    Mary has access to risky stocks A and B. But she has no access to risk-free T-bills. The two assets have the following characteristics: Stock A: Expected return= 12.5% per annum, Standard deviation=14% per annum Stock B: Expected return = 5% per annum. Standard deviation=8% per annum The correlation coefficient between retum on stock A and return on stock B is 0.10 Mary's utility function U = E(R)- Ao and her coefficient of risk aversion is equal to 3 a)...

  • Your client has $102.000 invested in stock A She would like to budalwo-stock portfolio by investing...

    Your client has $102.000 invested in stock A She would like to budalwo-stock portfolio by investing another $102.000 in the risk as possible, but the standard deviation must be no more than 40% What do you advise her to do, and what will be the port c 140 and as low or. She was a portfolio with an expected return of expected return and standard deviation? Standard Deviation Expected Return 16% Correlation with A 100 50 12% 40 0.25 The...

  • Your client has $ 97 comma 000$97,000 invested in stock A. She would like to build...

    Your client has $ 97 comma 000$97,000 invested in stock A. She would like to build a​ two-stock portfolio by investing another $ 97 comma 000$97,000 in either stock B or C. She wants a portfolio with an expected return of at least 14.5 %14.5% and as low a risk as​ possible, but the standard deviation must be no more than​ 40%. What do you advise her to​ do, and what will be the portfolio expected return and standard​ deviation?...

  • Tom has $10,000. He can invest the money in (1) a corporate bond, (2) a stock,...

    Tom has $10,000. He can invest the money in (1) a corporate bond, (2) a stock, and (3) the risk-free T-bill. The table below provides these assets’ expected returns and standard deviations: Bond (D) Stock (E) T-Bill (F) Expected Return 5% 10% 2% Standard Deviation 10% 20% 0 The coefficient of correlation between the corporate bond and the stock (ρDE) is 30%. Tom has a risk aversion coefficient of A=5. To construct the optimal portfolio with two risky assets and...

  • (Computing the standard deviation for a portfolio of two risky investments Mary Gulo recently graded from...

    (Computing the standard deviation for a portfolio of two risky investments Mary Gulo recently graded from Nichols State Unversity and is a s to begin investing her meget vigs as a way of ww what she has learned in business School Specifically, she is evaluating an investment in a pontono comprised of two firms common stock. She has collected the flowing information about the common stock of Fm Aandom BBW and standard deviation in portfolio a Mary invests at the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT