What is the standard deviation for a portfolio invested 50% in A, 50% in B? Probability 0.5 0.25 0.25 Return A (weight =50%) 10% 0% 20% Return B (weight =50%) 25% -10% 0%
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What is the standard deviation for a portfolio invested 50% in A, 50% in B? Probability 0.5 0.25 0.25 Return A (weight =50%) 10% 0% 20% Return B (weight =50%) 25% -10% 0%
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- A portfolio consists of 70% of investment A and 30% of investment B. The expected returnon investment A is 7% and the expected return on investment B is 9%. The standarddeviation of returns of investment A is 2.19%. The standard deviation of returns ofinvestment B is 4.1%. The correlation coefficient of the returns of investment A andinvestment B=+1. Finda. the expected return from the portfoliob. the standard deviation (risk) of the returns from the portfolioAn investment has probabilities 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15 of giving returns equal to 50%, 39%, -4%, 20%, -25%, and 42%. What are the expected returns and the standard deviations of returns?What is the expected return on a portfolio with 45% investment in asset A and the remainder in asset B? (Assume that the expected return for asset A and asset B are 15% and 9% respectively? a. 11.7% b. 14.6% c. 13.2% d. 12.9%
- For an investment in a stock, the probability of the return being -10.0% is 0.3, 10.0% is 0.4, and 30.0% is 0.3. Given the probability distributions, what is the expected rate of return for the investment?Choices:A. 10.00%B. 9.50%C. 15.00%D. 12.50%E. 13.00%For investment A, the probability of the return being 20.0% is 0.5, 10.0% is 0.4, and -10.0% is 0.1 Compute the standard deviation for the investment with the given information. (Round your answer to one decimal place.) a. 85.00% b. 15.00% c. 34.00% d. 17.00% e. 9.00%Portfolio Risk and Return: You are given the following distributions of returns for assets (single stock or portfolio) A, B, and C. Economic Conditions Probability Return on asset A B C Boom .30 60% 50% 10% Normal .40 40 30 50 Bust .30 20 10 90 Find the expected return (think of this as the mean return) and standard deviation of B and C. (A’s expected return is 40% and its standard deviation is 15.49%)
- Portfolio Management A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the variance of the annual rate of…Consider a position consisting of a $100,000 investment in asset A and a $100,000 investment in asset B. Assume that the daily volatilities of both assets are 1% and that the coefficient of correlation between their returns is 0.3. What is the 5-day 99% VaR for the portfolio?Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
- If E(rX)=0.12 and E(rY)=0.08, what would be the expected rate of return of a portfolio made of 30% of X and 70% of Y? A. 0.080 B. 0.120 C. 0.108 D. 0.092 E. 0.100Suppose you have the following investments: Security Amount Invested Expected Return Beta A $2,000 5% .80 B $4,000 10% .95 C $6,000 15% 1.10 D $8,000 18% 1.40 What is the expected return on this portfolio? Select one: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.
