Use the following information on Stocks X and Y to answer questions 1 through 3 (round to the nearest percent). Bear Market Normal Market Bull Market Probability 0.2 0.5 0.3 Stock X’s return -25% 10% 50% Stock Y’s return -15% 20% 10% What are the standard deviations of returns on Stocks X and Y
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- Use the following information on Stocks X and Y to answer questions 1 through 3 (round to the nearest percent).
|
|
Bear Market |
Normal Market |
Bull Market |
|
Probability |
0.2 |
0.5 |
0.3 |
|
Stock X’s return |
-25% |
10% |
50% |
|
Stock Y’s return |
-15% |
20% |
10% |
- What are the standard deviations of returns on Stocks X and Y?
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
- Question 1 Suppose you have the following expectations about the market condition and the returns on Stocks X and Y. Market Condition Probability Return on Stock X Return on Stock Y Bear Market 0.3 -3% -5% Normal Market 0.5 3% 5% Bull Market 0.2 8% 15% a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?Calculate the coefficients of variation for the following stocks: Stock Expected return Standard deviation of return 1 0.065 0.25 2 0.06 0.17 3 0.14 0.24 What is the coefficient of variation for stock 1? What is the coefficient of variation for stock 2? What is the coefficient of variation for stock 3? f you want to get the best risk-to-reward trade-off, which stock should you buy? Stock 2 Stock 3 Stock 1Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 x
- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.Using the data in the chart, calculate the first-period rates of return on the following indexes of the three stocks: A market-value-weighted index. An equally weighted index. stocks P0 Q0 P1 Q1 P2 Q2 A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 (Pt represents price at time t, and Qt represents shares outstanding at time t.)Use the following scenario analysis for Stocks X and Y to answer the questions below (round to the nearest percent). Bear Market Normal Market Bull Market Probability 0.2 0.5 0.3 Stock X -20% 18% 50% Stock Y -15% 20% 10% 1) What are the expected rates of return for Stocks X and Y? 2) What are the standard deviations of returns on Stocks X and Y? 3) Assume that of your $10,000 portfolio, you invest $9,000 in Stock X and $1,000 in Stock Y. What is the expected return on your portfolio?
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.2RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squarea = 0.25; R-square; = 0.15 What is the covariance between each stock and the market index? (Calculate using numbers in decimal form, not percentages. Do not round your intermediate calculations. Round your answers to 3 decimal places.) Covariance Stock A Stock BThe index model has been estimated for stocks A and B with the following results: RA 0.01 +0.5RM + A RB = 0.02 +1.3RM + eB standard deviation of the market is 0.25, standard deviation of eA is 0.2 and standard deviation of eB is 0.10 What is the covariance betwween the returns on stocks A and B?.