You want to create a $72,000 portfolio comprised of two stocks plus a risk-free security. Stock A has an expected return of 13.6 percent and Stock B has an expected return of 14.7 percent. You want to own $25,000 of Stock B. The risk-free rate is 3.6 percent and the expected return on the market is 12.1 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest in the risk-free security? Seleccione una: O a. $12,775 Qb. $13,315 O c. $13,550 O d. $12,987 Oe. $12,921 ہے

You want to create a $72,000 portfolio comprised of two stocks plus a risk-free security. Stock A has an expected return of 13.6 percent and Stock B has an expected return of 14.7 percent. You want to own $25,000 of Stock B. The risk-free rate is 3.6 percent and the expected return on the market is 12.1 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest in the risk-free security? Seleccione una: O a. $12,775 Qb. $13,315 O c. $13,550 O d. $12,987 Oe. $12,921 ہے

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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Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the above
Assume that you manage a $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $11.50 million, which you invest in stocks with an average beta of 0.82. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.)
Consider stocks of Firms A and B. Their expected returns are 12% and 11%, respectively, and the volatilities of their returns are 8% and 10%, respectively. Firm A has a market beta of 1.5 and Firm B has a market beta of 1.0, and the correlation between the two stocks is 0.5. Your risk-averse client wants to invest $5 million with an expected return of 15%. You can put together a portfolio with the market index, Firm A, Firm B, and a risk-free asset. Which of these four securities would you include in the portfolio and how much would you invest in each security?
Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decide to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stocks beta to 1.75. Calculate your portfolios new beta.
You hold 5% of your equity in stock A, 20% of your equity in stock B, and 75% of your equity in Stock C. You rebalance and tilt your portfolio towards stock A with a tilt size of 0.04. (A) What are the weights of the tilted portfolio? (B) Delever the tilted portfolio to create a position with zero risk-free weight that has the same Sharpe ratio as the tilted portfolio. Specify the portfolio weights of the delevered portfolio.
You want your portfolio beta to be 1.16. Currently, your portfolio consists of $3,000 invested in stock A with a beta of 1.64 and $2,000 in stock B with a beta of 0.75. You have another $5,000 to invest and want to divide it between an asset with a beta of 1.48 and a risk-free asset. How much should you invest in the risk-free asset? Multiple Choice O O O O 1575 1500 225 1230 510
If you create a portfolio for your client with 73 percent invested in the S&P 500 U.S. stock index (which includes T) and the remaining 27 percent in the Vanguard Gold index. The expected return is 30 percent for the S&P 500 and 3 percent for the Vanguard Gold index. The risk is 7.5 percent for the S&P 500 and 5 percent for the Vanguard Gold index. Estimate the portfolio’s return and risk given that the correlation coefficient between the S&P 500 and the Vanguard Gold index is -0.3? (e) Evaluate the effect of a change in the correlation coefficient to 0.8 on the portfolio’s return and risk.
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $196,000 294,000 490,000 Beta Expected rate of return 1.50 0.55 1.35 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18 percent and that the risk-free rate is 9 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%) Beta of the portfolio %
You are working on creating a portfolio that mimics a fully diversified market index. Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000 of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an additional risky stock C and a risk-free bond to your portfolio. Assume that betas for stock A, B, and C are 0.80, 1.09, and 1.23, respectively. How much would you invest in stock C and risk-free bond?
You want to construct a portfolio containing equal amounts of U.S. Treasury bills, stock A, and stock B. If the beta of the stock A is 0.87 and the beta of the portfolio is 0.92, what does the beta of stock B have to be?
Your portfolio consists of two stocks. Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22% Aggressive Stock -3% 40% Defensive Stock 8% 11% The probability of the pessimistic (optimistic) scenario is 90% (10%) and the risk-free rate is 3%. What is the equation of SML and should you increase or decrease the weights of these two stocks in your portfolio? Please keep 2 decimals in your answer.
Assume you wish to hold a portfolio consisting of Loblaw stock and a riskless asset. Given the following information, calculate portfolio expected returns and portfolio betas, letting the proportion of funds invested in Loblaw range from 0 to 125% Loblaw has a beta (\ beta) of 1.2 and an expected return of 18% Risk-free rate is 7%. Loblaw weights: 0%, 25%, 50%, 75%, 100%

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