A client wants to invest 44% of her money in a portfolio of risky assets and the rest in Treasury bills (the risk-free asset). The expected return on the risky portfolio is 25.4% and the standard deviation is 10.6%. T-bills pay 3%. What is the risk of the client's complete portfolio? Enter your answer as a % with one decimal (e.g., 20.5)

A client wants to invest 44% of her money in a portfolio of risky assets and the rest in Treasury bills (the risk-free asset). The expected return on the risky portfolio is 25.4% and the standard deviation is 10.6%. T-bills pay 3%. What is the risk of the client's complete portfolio? Enter your answer as a % with one decimal (e.g., 20.5)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).
You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 2%. Your client chooses to invest 65% of a portfolio in your fund and 35% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.25 and an expected return of 15%. The other stock has an expected return of 21%. The total portfolio is equally as risky as the market (i.e.Bp=1). What is the beta for the other stock in your portfolio? What is the expected return of the risk-free asset? What is the expected return of the market? What is the expected return of your portfolio?
State the return rate (in %) for your optimal portfolio.
K You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 37%. The T-bill rate is 4%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
Anna holds a portfolio comprising the following 3 stocks: X, Y and Z. Investment Amount Beta. Expected return Security X $2000. 1.3. Security Y $1000. 1. 10% Security Z. $500. 0. 2% a. Determine the expected return of security X. b. Calculate the return of Anna’s portfolio. c. Calculate the beta of Anna’s portfolio. d. To reduce the systematic risk of the portfolio, Anna is considering 3 securities to add to the portfolio. Security A has a beta of 0, security B has a beta of 0.5 and Security C has a beta of -0.3. Discuss which security will be most effective in reducing the portfolio’s systematic risk? How would portfolio expected return change (higher or lower) if you add this security?
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %
A risky fund has an expected return of 10% and a standard deviation of 18%. the T-Bill Rate is 5%. An Investor allocates 110% of her retirement portfolio to the risky fund and -10% to T-Bills (recall the negative allocations to T-ills indicates borrowing at the risk free rate) What is the investor's risk aversion coefficient? (PLEASE SHOW WORK!!) A) 2.06 B) -0.71 C) 3.7 D) 1.40
An investor is forming a portfolio by investing $50,000 in stock A which has a beta of 2.40, and $50,000 in stock B which has a beta of 0.60. The return on the market is equal to 8% and treasure bonds have a yield of 3% (rRF). What’s the portfolio beta? 0.60 1.30 1.50 1.80 Using the information in Question 41, calculate the required rate of return on the investor’s portfolio 11.0% 15.0% 12.0% 10.5% A retail store is offering a diamond ring for sale for 36 months at $128 per month. The retail price of the ring is $4,000. What is the interest rate on this offer? 9.43% 11.20% 11.98% 12.11%
Consider a portfolio that offers an expected rate of return of 11% and a standard deviation of 26%. T-bills offer a risk-free 7% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Suppose that you have found the optimal risky combination using all risky assets available in the economy, and that this optimal risky portfolio has an expected return of 0.19 and standard deviation of 0.24. The T-bill rate is 0.05. What fraction of your money must be invested in the optimal risky portfolio in order to form a complete portfolio with an expected return of 0.09? Round your answer to 4 decimal places. For example, if your answer is 3.205 %, then please write down 0.0321..
The risk-free rate is 3 percent. Also, the expected return on the market portfolio is 10.5 percent.a. Calculate the expected return of your portfolio. (Hint: The expected return of a portfolio equals the weighted average of the individual stocks" expected returns, where the weights are the percentage invested in each stock.)b. Calculate the portfolio beta.c. Given the preceding information, plot the security market line on paper. Plot the stocks from your portfolio on your graph.d. From your plot in part c, which stocks appear to be your winners, and which ones appear to be your losers?e. Why should you consider your conclusion in part d to be less than certain?

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