The returns on share A follow the market model with coefficients aa = 0.01, ßa = 1.25. If at time t, K mt = 0.02 and the actual return on share A is 0.025, calculate ẽat (the error term). MT
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- Required Rate of ReturnSuppose rRF 5 5%, rM 5 10%, and rA 5 12%.a. Calculate Stock A’s beta.b. If Stock A’s beta were 2.0, then what would be A’s new required rate ofreturn?3. Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?The following table provides information relating to Omega Ltd, as well as the market portfolio. The risk-free rate of return is 3.4% . Asset Excess Return Variance Beta Omega 12% 0.021904 1.4 M 8.1% 0.010201 1 What is Omega's M2 value? a. 7.41% b. 11.59% c. 8.99% d. 9.27% What is Omega's Sharpe Ratio? a. 0.061 b. 0.811 c. 0.086 d. 0.581 please explain the calculation step by step
- Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .Required Rate of Return Suppose rRF = 3%, rM = 8%, and rA = 7%. Calculate Stock A's beta. Round your answer to one decimal place. If Stock A's beta were 1.1, then what would be A's new required rate of return? Round your answer to one decimal place. %Suppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 4.0% + 0.50RM + eA RB= -1.2% + 0.7RM + eB sigmaM= 17% ; R-squareA = 0.26 ; R-squareB= 0.18 Break down the variance of each stock to the systematic and firm-specific components (write in decimal form, rounded to 4 decimal places). Risk for A Risk for B Systematic Firm-specificSuppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively.(a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?Suppose rRF = 6%, rM = 10%, and bi = 1.8. What is ri, the required rate of return on Stock i? Round your answer to one decimal place. % 1. Now suppose rRF increases to 7%. The slope of the SML remains constant. How would this affect rM and ri? Both rM and ri will remain the same. Both rM and ri will increase by 1 percentage point. rM will remain the same and ri will increase by 1 percentage point. rM will increase by 1 percentage point and ri will remain the same. Both rM and ri will decrease by 1 percentage point. 2. Now suppose rRF decreases to 5%. The slope of the SML remains constant. How would this affect rM and ri? Both rM and ri will remain the same. Both rM and ri will decrease by 1 percentage point. rM will decrease by 1 percentage point and ri will remain the same. rM will remain the same and ri will decrease by 1 percentage point. Both rM and ri will increase by 1 percentage point. 1. Now assume that rRF remains at 6%, but rM increases to 11%.…
- Company Q has earnings of $3.00 per share, a market price of $25, and a beta of 1.25. The risk-free rate is 3% and the risk premium for the market as a whole is 5%. a. What is the expected return on the market? b. What is the current P/E ratio for Company Q?Suppose that the capital asset pricing model (CAPM) applies. The risk premium of a stock is 3 percent and the risk premium of the market portfolio is 2. The standard deviation of the market portfo- lio is 6. Compute the covariance between the stock and the market portfolio.Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places ng distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (20%) Below average 0.1 (13) Average 0.3 18 Above average 0.3 40 Strong 0.2 64 1.0