Summary statistics for returns on two stocks X and Y are listed below. Stock X Stock Y Mean 2.85% 5.91% Variance 0.005000 0.006000 The covariance of returns on stocks X and Y is 0.002800. Consider a portfolio of 30% stock X and 70% stock Y
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- Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 0.03 + 0.7 RM + eA RB = -0.02+ 1.2 RM + eB σM =0.20; R-square A = 0.25 R-square B = 0.20 What is the standard deviation of A & B, respectively? Group of answer choices 0.54, 0.28 0.28, 0.54 0.45, 0.50 0.50, 0.45
- The index model has been estimated for stock A with the following results: RA = 0.01 + 1.2RM + eA. σM = 0.15; σ(eA) = 0.10. The standard deviation of the return for stock A isConsider 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.Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation between the returns on A and B is .52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
- The probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0,04 -0.12 0.21 0.1 -0.05You run a regression for the Tesla stock return on a market index to estimate the SML equation and find the following Excel output: Multiple R R-Square Adjusted R-Square Standard Error Observations Intercept Market = 0.28 0.25 0.02 40.01 60 13.35 and 0.97 0.8 and 0.1 0.28 and 0.25 0.26 and 1.36 0.2 and 0.75 Coefficients Standard Error t-Stat p-Value 0.2 0.75 The resulting SML equation for Laternios is given by: Er Laternios] 13.35 0.26 0.80 0.97 1.36 0.10 + __ × (E[rM] - rf)You are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336). Return Probability 8.0% 0.20 10.0% 0.10 12.0% 0.40 15.0% 0.20 16.0% 0.10
- The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:(b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)]Consider the following probability distribution for stocks A and B: Table 4 Probability Distribution for Stocks A and B State Probability Return on Stock A Return on Stock B 1 0.1 10% 8% 2 0.2 13% 7% 3 0.2 12% 6% 4 0.3 14% 9% 5 0.2 15% 8% The variances of Stocks A and B are _____ and _____, respectively. Group of answer choices .015%; .019% .022%; .012% .032%; .02% .015%; .011% .014%; .021%