Two assets have expected returns and standard deviations as follows: Standard Deviation Expected Return 10 8 16 11 Asset A B These assets are perfectly negatively correlated. What is the minimum standard deviation that can be obtained by combining assets A and B in a portfolio? Prove with words or show with equations. Hint-this question should take you less than five minutes (max).

Two assets have expected returns and standard deviations as follows: Standard Deviation Expected Return 10 8 16 11 Asset A B These assets are perfectly negatively correlated. What is the minimum standard deviation that can be obtained by combining assets A and B in a portfolio? Prove with words or show with equations. Hint-this question should take you less than five minutes (max).

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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Imagine a feasible set of portfolios with two risky assets with a correlation of -1. What name did Harry Markowitz give to the portfolios on the upper arm of the sideways 'v'? The feasible set The portfolio possibility line. The optimum set The efficient set Previous Page Next Page
Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
Consider an investment with the following probability distribution: Probability: Payoff: 0.40 41.0% 0.40 -6.0 0.20 -20.0 Calculate the expected return. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the standard deviation. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the coefficient of variation. Do not round intermediate calculations. Round your answer to two decimal places. _____
Please solve only part a of this question in 2 hours and get a thumbs up
Suppose two asset returns are described by a two factor model, n = 0% + 11 + 1.82 + e1 2 = -1% + 2/1 + 0.52 + e2 where the volatility of first factor is 30%, the volatility of the second factor is 10%, and the correlation between the two factors is 0.5. Suppose also that the volatilities of the error terms ej and ez are both 10%. What is the covariance of n and r2 ? (Nearest 0.0001).
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.
PLEASE PUT IT IN EXCEL, IT HAS TO BE IN EXCEL NO OTHER WAY OTHER THEN IN EXCEL. USE EXCEL! Question 2: Consider two risky assets, S and B, with the following characteristics: E(rs) 9%, Os 20% E(TB) 5%, OB 5% and PBS - 1 a) Is it possible to combine the two assets a portfolio such that the portfolio has zero risk (i.e. zero standard deviation)? If so, what is the composition of the zero risk portfolio? b) Suppose that in addition to trading in the risky assets S and B, investors can also freely buy, sell or short-sell a risk-free asset with risk-free rate rf. What must be the risk-free rate re? What would happen otherwise?
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…
Asset A has an expected return of 20% and a standard deviation of 25%. The risk free rate is 10%. What is the reward-to- variability ratio (Sharpe ratio)? O 40 O .50 O .75 O.80
Use the basic equation for the CAPM to rework each of the following problems for above case. Case A) Find the required return for an asset with a beta of 0.9 when the risk-free rate and market return are 8% and 12% respectively. Case B) Find the risk-free rate for a firm with a required return of 15% and a beta of 1.25 when the market return is 14%. Case C) Find the market return for an asset with a required return of 16% and a beta of 1.1 when the risk-free rate is 9%. Case D) Find the beta for an asset with a required return of 15% when the risk-free rate and market return are 10% and 12.5% respectively.
Nikul
No excel please. Show formulas and step-by-step. Please answer fast i give you upvote.

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