4. Below is information on two actions: Expected performance, standard deviation, or 10% 8% 36 24 Investment Action D Action E Which stock has the highest relative risk?
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- D3)25) Given the following correlation matrix, a risk-averse investor would most likely prefer which of the following 2-stock portfolios (all else equal)? Stock A B C D A +1 B +0.8 +1 C +0.2 -0.55 +1 D -0.15 -0.78 +0.3 +1 Select one or more: A and C. C and B A and B C and D. A and D D and BBelow are standard deviations of four stocks: M, N, O and P. Stock M N O P Standard deviation 12% 20% 15% 30% 1. Which stock is the riskest? 2. Based on the risk-return tradeoff, which stock should provide the highest 3. If stock O provides a higher return than stock P, what should happen?
- Q3. Find the Expected Return, Variance, and Standard Deviation for the Stock Returns 1 and 2. Also, you are requested to find the Covariance and Coefficient of Variation with the following information. Probability Stock - 1 Stock - 2 42% 09% 01% 0.22 04% 39% 0.05 38% 47% 31% 41% 18%1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and wanted a source to compare your results to, which of the three averages would you prefer to use, and why? Stock Price # of Shares I II A B C D E F $12.00 150,000 $14.00 125,000 $11.00 200,000 $ 22.00 80,000 $8.00 30,000 $29.00 140,000 $12.00 $12.00 $14.00 $14.00 $20.00 $11.00 $ 22,00 $ 22.00 $8.00 $15.00 $29.00 $29.00
- Stock A has a correlation with the market of 0.53. Assuming that the standard deviation of returns for Stock A is 24.0% and that the standard deviation of returns for the market is 10.0%, what is beta for stock A? A 1.31 B. 1.27 C. 0.17 D. 0.22K -61 =1 2 N (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Probability 0.25 0.50 0.25 Common Stock A Probability 0.25 0.25 0.25 0.25 (Click on the icon in order to copy its contents into a spreadsheet.) @ 2 a. Given the information in the table, the expected rate of return for stock A is 16.25 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) b. The expected rate of return for stock B is%. (Round to two decimal places.) The standard deviation for stock B is%. (Round to two decimal places.) c. Based on the risk (as measured by the standard deviation) and return of each stock, which investment is better? (Select the best choice below.) 30² F2 W OA. Stock A is better because it has a higher expected rate of return with less risk B. Stock B is…2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
- 1 The information regarding the risk level of three different stocks is presented below. 1. Which stock has the highest level of risk? Interpret the beta of that stock. 2. Which stock has the level of risk that is closest to the market level of risk? How do we measure the market level of risk? Beta Standard Deviation Flylnc 2.1 15.8% Airco 1.1 17.3% SkyCorp 0.8 21.5%b. As an equity portfolio manager, you may use certain risk-adjusted performance measures. Describe and discuss the following measures of performance evaluation! Treynor Index, William Sharpe, Michael Jensen Using the following table evaluate which is better than other using three different measure of performance evaluation. Asset X E(R)% 12 beta Stdv 1.25 16 Y 11 1.0 12 Risk-free 3 0 0 Market index 12 1 12Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?