A risky portfolio has an expected rate of return of 14% and a standard deviation of 20%. The risk-free asset has a rate of return of 5%. The complete portfolio (which has a mixture of the risky asset and risk-free asset) has a standard deviation of 12%. What proportion of the complete portfolio is invested in the risky portfolio? 12% 100% 40% 60%

A risky portfolio has an expected rate of return of 14% and a standard deviation of 20%. The risk-free asset has a rate of return of 5%. The complete portfolio (which has a mixture of the risky asset and risk-free asset) has a standard deviation of 12%. What proportion of the complete portfolio is invested in the risky portfolio? 12% 100% 40% 60%

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
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The expected return for asset A is 4.00% with a standard deviation of 9.00%, and the expected return for asset B is 6.75% with a standard deviation of 3.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers. Proportion of Portfolio in Security A WA 1.00 0.75 0.50 0.25 0.00 Proportion of Portfolio in Security B WB 0.00 0.25 0.50 0.75 1.00 Expected Portfolio Return FP 4.00% 4.69% 6.06% 6.75% Standard Deviation Op Case I (PAB= -0.4) 6.5 4.1 2.5 3.0 Standard Deviation op Case II (PAB= 0.3) 9.0 5.2 3.6 3.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is. Therefore, you are better off Standard Deviation op Case III (PAB=0.8) 9.0 7.4 5.8 ▼ 3.0
Consider following information on a risky portfolio, risk-free asset and the market index. What is the M2 of the risky portfolio? Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26% 20% Residual std. dev. 10% Alpha 1.4% Beta
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?
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 % %
Q6. ) A portfolio is formed by investing 32% in Asset-1; 28% in Asset-2; and 40% in Asset-3. The covariances of the three assets with the market portfolio are 24, 36, and 48. The variance of the market portfolio is 40. If the risk - less rate is 7.5%, and the expected return on the market portfolio is 12.5%, what is the expected return of this portfolio, assuming that the CAPM is valid?
Suppose the risk-free return is 2% and the return on the market is 10%. The beta of a managed portfolio is 1.5, and the average realized return is 13%. According to the CAPM, Jensen’s alpha of the managed portfolio is: A) –1% B) 0% C) 1% D) 2% E) none of the above
Consider the following two assets: Asset Expected return Standard deviation of returns 1 18% 30% 2 8% 10% The returns on the two assets are perfectly negatively correlated (i.e. coefficient of -1). Calculate the proportions of assets 1 and 2 that generate a portfolio with a standard deviation of zero. What is the expected return of that portfolio Calculate the expected returns and standard deviations of three other portfolios with weightingsof your choice. Present a graph of your results.
Consider risky Funds B and S with the following projections: Fund B S Expected return 6% 10% Standard deviation 2.5% 15% Assume the correlation between Funds B and S is -0.50, and the risk-free rate for a T-bill is 5%. How much of your assets should you invest in Fund S in order to achieve the optimal risky portfolio comprised of Funds B and S? 0% weight in Fund S < 25% 25% weight in Fund S < 50% < 50% weight in Fund S < 75% 75%
The risk - free rate is 5.25%. The expected return on the market is 12% with a standard deviation of 18%. What is the standard deviation of an efficient portfolio with a 16% expected return? 7.33 % 10.12% 28.67% 19.11%

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