Question

Financial planner Charlie Labrador recommends to his client to invest $100,000 of her life savings in...

Financial planner Charlie Labrador recommends to his client to invest $100,000 of her life savings in a bond mutual fund with an expected return of 5% and standard deviation of 15% and the remaining $300,000 of her savings in a stock mutual fund with an expected return of 10% and standard deviation of 35%. The correlation between the two funds is 0.4. What would be the standard deviation of her total portfolio?

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

Weight of Bond Mutual Fund =100000/(100000+300000) =0.25
Weight of Stock Mutual Fund =1-0.25 =0.75
Standard Deviation of Her total Portfolio =((Weight of Bond*Standard Deviation)^2+(Weight of Equity*Standard Deviation )^2+2*Weight of Bond*Standard Deviation*weight of Equity*Standard Deviation*Correlation))^0.5
=(0.25*15%)^2+(0.75*35%)^2+2*0.25*0.75*15%*35%*0.4)^0.5 =27.96%

Add a comment
Know the answer?
Add Answer to:
Financial planner Charlie Labrador recommends to his client to invest $100,000 of her life savings in...
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
  • Amelia owns $400,000 of a well-diversified mutual fund. She has additional savings of $100,000 that she...

    Amelia owns $400,000 of a well-diversified mutual fund. She has additional savings of $100,000 that she has decided to invest in additional risky assets. Her current portfolio has an expected return of 10.5% with standard deviation of returns of 22.0%. The investment she is considering purchasing has an expected return of 12% with a standard deviation of 26.4%. If the correlation of returns between Amelia’s current portfolio and the new investment is .85. Should she add this investment?

  • You are constructing a risky portfolio for a client, to be comprised of both an equity...

    You are constructing a risky portfolio for a client, to be comprised of both an equity fund and a bond fund. The probability distributions of the two funds are guven below. The correlation between the two funds is 0.10. QUESTION 11 11.) For an investor with a risk-acersion score (A) of 4, identify the portfolio he woud rationally select. a) what is the expected return of this portfolio? b) what is the standard devistion of this portfolio? Use the following...

  • You are an investment manager considering two mutual funds. The first is an equity fund and...

    You are an investment manager considering two mutual funds. The first is an equity fund and the second is a long- term corporate bond fund. It is possible to borrow or to lend limitless sums safely at 1.25%pa. The data on the risky funds are as follows: Fund Expected return Expected standard deviation Equity Fund 8% 16% Bond Fund 3% 5% The correlation coefficient between the fund returns is 0.10 a You form a risky portfolio P that is equally...

  • A pension fund manager is considering three mutual funds. The first is a stock fund, the...

    A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.0%. The probability distributions of the risky funds are: (Total 20 points) Expected Return of Market Standard Deviation Stock funds (S) 15% 32% Bond funds (B) 9% 23% The correlation between the fund returns is 0.15. a. Use the formula below to compute the...

  • Problem 7-7 10 points A pension fund manager is considering three mutual funds. The first is...

    Problem 7-7 10 points A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 9%. The probability distribution of the risky funds is as follows: eBook Expected Return 20% 11 Standard Deviation 35% Print Stock fund (5) Bond fund (B) 15 References The correlation between the fund returns is 0.09. Solve...

  • Check my work A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long...

    Check my work A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 4.5%. The probability distributions of the risky funds are: Expected Return 15% Standard Deviation Stock fund (S) Bond fund (B) 35% 6% 29% The correlation between the fund returns is 0.0517. What is the expected return and...

  • A pension fund manager is considering three mutual funds. The first is a stock fund, the...

    A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 8%. The probability distribution of the risky fund is as follows: Expected Return 16% 12 Standard Deviation 35% 15 Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.13. a-1. What are the investment proportions in the...

  • Problem 7-4 A pension fund manager is considering three mutual funds. The first is a stock...

    Problem 7-4 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 8%. The probability distribution of the risky funds is as follows Expected Return 17% Standard Deviation 35% 18 Stock fund (S) Bond fund (5) The correlation between the fund returns is 0.09 0-1. What are the investment proportions in...

  • A pension fund manager is considering three mutual funds. The first is a stock fund, the...

    A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 5%. The probability distribution of the risky funds is as follows: Expected Return 20% Standard Deviation 35% 15 Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.09. You require that your portfolio yield an expected return...

  • Check my work mode: This shows what is correct or incorrect for the work you have...

    Check my work mode: This shows what is correct or incorrect for the work you have completed so far. It does Problem 7-7 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 6%. The probability distribution of the risky funds is as follows: Expected Return 16% Standard Deviation Stock fund...

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