Return on a portfolio of two risky assets which are perfectly negatively correlated is equivalent to a. Risk-free rate b. Return on market portfolio c. Zero return d. -1%
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- 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?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.
- 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 expected return of a portfolio that is totally invested in the risk free asset is caclculated as: E(R) = WA * E(RA) Wf * E(RB) = 0 * 0.16 1.0 * 0.08 = 0 0.08 = 0.08 or 8% Therefore the expected return of a portfolio with risk free asset is 8% There is no standard deviation for the risk free asset. Please full ExplainThe 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
- 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.According to CAPM, the expected rate of return of a portfolio with a beta of 1.0 and an alpha of 0 is:a. Between rM and rf .b. The risk-free rate, rf .c. β(rM − rf).d. The expected return on the market, rM.Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
- Which of the following statements regarding non-systematic risk, systematic risk and total risk is/are true? Select one or more:a. As the number of assets within a portfolio increases, the total risk of a portfolio will go to zero.b. A riskfree asset must have zero non-systematic risk.c. A well diversified portfolio must have zero systematic riskd. Under the Capital Asset Pricing Model (CAPM).an asset with zero systematic risk must have expected return equal to the riskfree rate.It is a risk adjusted performance measure that represents the average return on a portfolio. a. sharpe ratio b. Treynor indexA portfolio that is positively correlated with the market portfolio but not particularly sensitive to market risk factors would have a beta that is A. Equal to zero. B. Equal to one. C. Less than zero. D. Between 0 and 1. E. Greater than 1.
