A mean-variance investor is constructing an optimal portfolio. The stock of Thunder Electric has an expected return of 3% and zero correlation with all other available risky assets. The risk-free rate is 3%. A rational mean variance investor should hold some non-zero position in the stock because it diversifies the portfolio.
True/False/Uncertain
The answer will be TRUE it can be can hold zero stock position in stock as per the theory and calculated as per the formula toldin the theory of it
A mean-variance investor is constructing an optimal portfolio. The stock of Thunder Electric has an expected...
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...
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 14% and a standard deviation of return of 24.0%. Stock B has an expected return of 10% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 8%. The proportion of the optimal risky portfolio that should be invested in stock A is...
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 45% and a standard deviation of return of 9%. Stock B has an expected return of 15% and a standard deviation of return of 2%.The correlation coefficient between the returns of A and B is 0.0025. The risk-free rate of return is 2%. The standard deviation of return on the minimum variance portfolio is _________.
An investor has mean-variance utility preferences: U = E(R) – 0.5A02 coefficient of risk aversion A = 5. market expected return is E(RM) = 5% standard deviation of the market is om = 10%. risk-free rate is Rf = 2%. Under CAPM, what's the weight of the risk-free assets (Wf) on your optimal portfolio?
Assume an investor has mean-variance utility preferences U = E(R) - 0.5A02 with coefficient of risk aversion A = 5. The market expected return is E(RM) = 5% and the standard deviation of the market is OM = 10%. The risk-free rate is Rs = 2%. Under CAPM, what's the weight of the risk-free assets (We) on your optimal portfolio?
2. (Understanding optimal portfolio choice) Consider two risky assets, the expected return of asset one is μ-0.1, the expected return of asset two is μ2-0.15, the risk or standard deviation of asset one is σ1-0.1, the risk or standard deviation of asset two is σ2-02. The two assets also happen to have zero correlation. An investor plans to build a portfolio by investing w of his investment to asset one and the rest of his investment to asset two. Calculate...
Show work in excel please An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 19% and a standard deviation of return of 15.0%. Stock B has an expected return of 15% and a standard deviation of return of 6%. The correlation coefficient between the returns of A and B is 0.80. The risk-free rate of return is 11%. The proportion of the optimal risky portfolio that should be...
1. Consider an investor with $1 of wealth. He has to compose a portfolio with the following two risky assets. The rates of returns from those assets are specified by expectations, variances and correlations. var[r 1] = 0.02 E[r 1] = 0.05 var[r 2] = 0.03 E[r 2] = 0.08 corr[r 1, r 2] = 0.7 (a) Draw an efficient frontier of the investor. (b) How will the mean-variance efficient frontier in (a) change if corr[r 1, r 2] =...
Suppose the optimal risky portfolio has an expected return of 13.25% and a standard deviation of 24.57%. Mr. Jones wants an efficient portfolio with an expected return of 12%. If the optimal risky portfolio consists of 70.75% in stocks and 29.25% in bonds, what is the proportion of Mr. Jones' portfolio invested in the stock fund. the risk-free rate is 5.5%.
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...