You estimated the single index (market) model for stocks P and Q with the following results:Return on Stock P: Rp = 0.04 +0.6RM + epReturn on Stock Q: RQ = 0.04 + 1.4RM + еQWhere RM is return on the single index and ep and eq are error terms which are not correlatedwith anything and have zero means.In addition, the following statistics are known for RM and the error terms:MeanRisk-free rate3%Single index return, RM8%Error term for Stock P return, ep0%Error term for Stock Q return, eq0%Standard Deviation15%20%10%Based on the information above, calculate the smallest possible portfolio returnstandard deviation one can get by forming a two-asset portfolio of Stock P and Q.Hint: Recall the formula for the weight of the minimum variance portfolio.(6 marks)b. Suppose you intend to hold a combined portfolio by allocating 50% in the risk-freeasset and the remaining in the minimum variance portfolio (i.e., the risky portfolio youconstructed in part a). What is the expected return of your combined portfolio?(4 marks)

Part a: Minimizing Portfolio Standard Deviation with Step-by-Step BreakdownHere's a detailed…

Answered: You estimated the single index (market)…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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When calculating the beta of security by running a simple regression in Excel, which of the following is NOT true? O The alpha or intercept coefficient in the output table measures by how much the security outperformed the market index, adjusted for risk. O The beta can be found in the X Variable coefficient cell in the output table. O The market index should be used as the 'dependent' variable Y. The returns for the security should be the 'independent' variable X. O If the R-Square in the output table is .20, that means that 20% of the variation in the dependent variable can be explained by variations in the independent variable.
Comment on the SAS regression output including a-e. Compare and comment on the differences between the two regressions (3- vs. 4-factor model using either OLS or HC results depending upon the White test result) Make conclusions regarding choosing 3- vs. 4-factor model when predicting future stock returns, and explain why.
Consider the two stocks below. Which has a positive beta (i.e., tends to move in the same direction as the market)? Which has a higher R2 (1.e., market returns explain more of its return patterns)? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. Stock 1 has a positive beta and a higher R² a b C d Stock 2 has a positive beta and a higher R² Stock 1 has a positive beta, but Stock 2 has a higher R Stock 2 has a positive beta, but Stock 1 has a higher R² ft RM Stock 2 Stock 1 Par
Consider the following linear regression model: (R₁-r)= a; + b(RMkt - rf) + e; The b; in the regression: O measures the deviation from the best fitting line and is zero on aver- measures the sensitivity of the security to market risk. measures the diversifiable risk in returns.
Vinay
Consider the following information: a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.
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 B
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
Question 1 Are the following statements true or false? Provide a short justification for your answer. (You are evaluated on your justification.) Remember that a statement is false if any part of the statement is false. A single correct counterexample is sufficient to show that a statement is false. a) assets A, B, C, with expected returns and standard deviations: Suppose you are a mean-variance optimizer. The risk-free rate is 3%. There are three risky E [řa] = 10%, SD [FA] = 5% E [řB] = 15%, SD [řB] = 7% E [řc] = 12%, SD [řc] = 9% You cannot invest in all three risky assets. Instead, you have to choose whether to invest in only assets (A, B), or only assets (A, C). Asset B mean-variance dominates asset C, since it has higher return and lower standard deviation than asset C. Thus, as long as you are risk-averse, you would always prefer the set of assets (A, B) to the set assets (A, C). b) the same market B's. The covariance matrix between A, B, C is: Suppose the CAPM holds. Consider…

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