A two-asset portfolio is made up of 80% of Share A, for which the variance is 50, and 20% of Share B, with variance 60. The covariance between the two shares is 25. What is the standard deviation of the two-asset portfolio? A) 8.54% B) 9.63% C) 6.51% D) 7.23%
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5. A two-asset portfolio is made up of 80% of Share A, for which the variance is 50, and 20% of Share B, with variance 60. The covariance between the two shares is 25. What is the standard deviation of the two-asset portfolio?
A) 8.54%
B) 9.63%
C) 6.51%
D) 7.23%
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- What is the total variance of the following portfolio including 2 assets invested in the ratio of 3:1. Asset A: E(r) = 0.3 , s = 0.6 Asset B: E(r) = 0.4, s = 0.8 Correlation: 0.8 rf = 0.1 A) 1.14 B) 0.88 C) 0.38 D) 1.443. Consider two stocks A and B with expected returns of 6% (stock A) and 8% (stock B). The matrix of variances and covariances is presented below: Stock A В A 0.0064 -0.008 B -0.008 0.01 a. Write the variance of the portfolio composed of A and B as a function of the proportion x invested in stock A. (1-x) is invested in B. Short sales are not allowed on the market. b. Write the variance of the portfolio composed of A and B as a function of the portfolio's expected return. c. What are the proportions invested in the minimum risk portfolio composed of A and B? d. Draw the graph of the portfolios combining A and B in a (V, E) space. V=variance, E=expected return. e. If the standard deviation of the pf is 7% what proportions were invested in A and B?III. 1. The average variance of financial assets on a market is 0.4% and the average covariance between assets is 0.1%. Compute the variance of a portfolio composed of a. 5 assets: b. 100 assets. a. V(Rpf)=.. b. V(Rpf)=.. 2. On a market at equilibrium the effcient frontier has the following equation: E(Rp)=4%+1.2 opf The standard deviation of the market portfolio equals 5%. a. The expected return on a portfolio A with a beta of 1,2 equals .%. b. How much of the total risk of portfolio B is explained by the market if the correlation between A and B equals 0,5? Answer: R? =. %
- Calculate the risk (standard deviation) of a 2-asset portfolio, in which asset A has a variance of return = 0.112, asset B a variance of return = 0.045, and the convariance between the return of 2 assets is = 0.102. asset A comprises 60% ans asset B comprises 40% of the total portfolio. Give your answer 0.000.1. Determine the expected return and the variance of the portfolio formed by the two assets S₁, S₂ with weights ₁ = 0.6, x2 = 0.4. The assets returns are described by the following scheme: scenario W1 2لا W3 probability 0.1 0.4 0.5 T1 -20% 0% 20% 12 -10% 20% 40%2. The following table gives information on the return and variance of assets A and B, whose covariance is 0.0003: A B 0} 0,0009 0,0012 E (R₂) 0,05 0,06 a. Does the portfolio (1/3 of A and 2/3 of B) dominate the portfolio (2/3 of A and 1/3 of B)? b. Does the portfolio (1/2, 1/2) belong to the efficient frontier? c. If there were the possibility of lending and borrowing at 2%, would the portfolio (1/2, 1/2) belong to the new efficient frontier?
- A portfolio combines two assets: X and Y. The proportion of Asset X in the portfolio is 25%, and the proportion of Asset Y is 75%. The standard deviation of Asset X is 6% and the variance of Asset Y is 2%. Returns of Asset X and Asset Y are positively correlated as far as the correlation coefficient equals 0.44. What is standard deviation of this portfolio? 7.03% 12.11% 10.29% 11.35%Portfolios A and B are both well-diversified. The risk-free rate is 8%. The return for the market is 10%. Portfolio A has an expected return of 15% and beta of 1.1. Portfolio B has an expected return of 9% and beta of 0.20. Portfolio A's variance is 9%, whilst Portfolio B's variance is 5.5%. Calculate for Portfolio A and Portfolio B the following: 1. Sharpe's Measure, 2. Treynor's Measure, 3. Jensen's Measure. Which is the better portfolio according to each measure?2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.
- Calculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....For minimum variance portfolio,the weight of Asset A1 Ltd in two asset portfolio ,having correlation coefficient of 0 with B2 Ltd , risk of 12 and 15 respectively is a. 0.39 b. 0.61 c. 0.55 d. 0.45Consider the one-factor APT. The variance of returns on the factor portfolio is 6%. The beta of a well-diversified portfolio on the factor is 1.1. The variance of returns on the well-diversified portfolio is approximately A. 7.3%. B. 3.6%. C. 10.1%. D. 6.0%.