What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% W₁ = 0.75 COVAB = -0.0009 Asset (B) E(R₂) = 15% SD₂ = 11% W₂ = 0.25
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- APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?Expected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
- 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?Asset 1 has a standard deviation of returns of 0.15 while Asset 2 has a standard deviation of returns of 0.20. The correlation coefficient between the returns of the two assets is 0.34. Which of the following is closest to the covariance of the returns of the two assets if they are combined into an equally weighted portfolio? Group of answer choices 0.0129 0.0207 0.0102 0.1440The CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio. Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimate
- A two-asset portfolio has the following characteristics. The correlation coefficient between the returns of the two assets is +0.1. Asset Expected Return Expected Standard Deviation Weight A 12% 3% 0.8 B 20% 7% 0.2 Calculate the expected return and the risk (i.e. standard deviation) of this two-asset portfolio. Comment on the risk of this portfolio relative to the two individual assets. Suppose the correlation coefficient between A and B was -1.0. How can an investor obtain a zero risk portfolio consisting of A and B?The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .
- Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.The following table provides information relating to Omega Ltd, as well as the market portfolio. The risk-free rate of return is 3.4% . Asset Excess Return Variance Beta Omega 12% 0.021904 1.4 M 8.1% 0.010201 1 What is Omega's M2 value? a. 7.41% b. 11.59% c. 8.99% d. 9.27% What is Omega's Sharpe Ratio? a. 0.061 b. 0.811 c. 0.086 d. 0.581 please explain the calculation step by stepYou are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets. PORTFOLIO EXPECTED RETURN STANDARD DEVIATION Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% a) For each portfolio, calculate the risk premium per unit of risk that you expect to receive [(E(R) –RFR)/ơ]. Assume that the risk free rate is 3.0%. b) Using…
