ou own a portfolio equally invested in a risk-free asset and two stocks (If one of the stocks has a beta of 1.41 andthe total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Hint: Remember that the market has a Beta = 1; also remember that equally invested means that each asset hasthe same weight - since there are 3 assets, each asset's weight is 1/3 or 0.3333. Use 0.333333, and not only 0.33,sorry, calculation is sensitive to it). Enter the answer with 4 decimals (e.g. 1.1234)

Beta of Portfolio = Beta of Market = 1Beta of Risk Free Asset = 0Beta of 1st stock = 1.41Beta of 2nd…

Answered: ou own a portfolio equally invested in…

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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Assume a utility function of ? = ?[?] − 1 ?? 2. Which statement(s) is/are correct about investors with this utility function? [I] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher risk premium [II] An investor with a higher degree of risk aversion chooses the optimal portfolio with lower risk [III] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher sharpe ratio [IV] The extent to which the investor dislikes risk is captured by ? 2 A. [II] only B. [I], [II] only C. [III] , [IV] only D. [II], [IV] only E. [I], [II], [III] only
Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?
Suppose you have an investment portfolio with fraction x invested in a market portfolio and (1-x) in a risk- free asset. Increasing fraction x invested in the market portfolio and consequently decreasing (1-x) invested in the risk-free asset shall (select any correct answer, if there are multiple correct answers) Select one or more: O decrease the Sharpe ratio of the resulting portfolio O decrease the expected return of the resulting portfolio increase the Sharpe ratio of the resulting portfolio increase the expected return of the resulting portfolio Dincrease the risk of the resulting portfolio
3. A market consists of two risky assets and no risk-free asset. Let R₁ and R₂ denote the return on each of the risky assets. Using market data the following have been estimated: E[R₁] = 0.10, E[R₂] = 0.15, o² = Var(R₁) = 0.1², o² = Var(R₂) = 0.2² and p1,2 = -1/2 where P1,2 denotes the correlation coefficient for R₁ and R₂. (i) Given that an investor is targeting a total expected return of portfolio, what is the minimum variance that can be achieved? = 0.125 on a (ii) Determine the global minimum variance portfolio and the expected return and variance of return on this portfolio. (iii) Using your answers to parts (i) and (ii) make a rough sketch of the minimum- variance set in - o2 space. You should indicate the efficient frontier and the global minimum variance portfolio. (iv) Without further calculation, explain how you would expect the variance of return calculated in (ii) to change if the two risky assets were independent.
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?
Consider the following single factor specification: R₁ = a¡ + ßi, Rµ + €i. Where R; is the return on security i, RM is the return on index M (a broad market index) and e, is a zero- mean white noise random variable not correlated with anything. Assume that the single factor specification above correctly describes the return generating processes of all securities. Furthermore, you have the following descriptive statistics for returns of well-diversified Portfolios X, Y, and index M. Portfolio X Portfolio Y Index M Risk-Free Expected return 14% 17% ?? ?? B₁ 1.2 1.6 1 0 a. Assume that the corresponding single factor APT correctly prices Portfolios X and Y. In other words, the expected returns of Portfolios X and Y shown above - 14% and 17% respectively - are equal to their APT-predicted expected returns. Calculate the expected return of Index M and risk-free rate. b. Another well-diversified portfolio Z has a beta, ßz, of 0.8 while its expected return is 10%. Form a portfolio consisting…
Which of these are true about the Security Market Line and Capital Market Line models? 1. the intercepts are the same 2. the independent variable for the Capital Market Line is beta 3, the Capital Market Line applies to portfolios only O 1 and 2 only O 2 only O 1 and 3 only O 2 and 3 only O 3 only
The CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio. Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimate
Which of the following statements is CORRECT? a. Lower beta stocks have higher required returns. b. A stock's beta indicates its diversifiable risk. c. Diversifiable risk cannot be completely diversified away. d. Two securities with the same stand-alone risk must have the same betas. e. The slope of the security market line is equal to the market risk premium.
Consider a capital market with two securities. The payoffs of these securities in the two equally likely states of the world are given in the table below. Payoff Price Security A в State 1 State 2 PA = 2 Pg = 3 4 2 3 4 a) Discuss the concepts of complete capital markets, pure (Arrow-Debreu) securities, and pure factor portfolios. Establish whether the capital market in this case is complete and determine the prices of the pure securities by arbitrage.
You have been provided the following data about the securities of three firms, the market portfolio, and the risk-free asset: a. Fill in the missing values in the table. (Leave no cells blank - be certain to enter 0 wherever required. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Security Firm A Firm B Firm C The market portfolio The risk-free asset Expected return Expected Return * With the market portfolio Sell Buy 0.118 0.132 0.113 0.12 0.05 % Expected return Standard Deviation b-1. What is the expected return of Firm A? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) 0.23 0.74 0.74 0.23 0 % Correlation* 1.02 0.42 0.27 1 0 b-2. What is your investment recommendation regarding Firm A for someone with a well-diversified portfolio? b-3. What is the expected return of Firm B? (Do not round intermediate calculations and enter your answer as a percent rounded to 2…
You are considering the two securities shown below. Which of the following statements is uniquely different about Security 4 relative to Security 2? R4 R2 f 44 RM RM Only Security 4 has a positive estimated beta. Security 4 has a higher beta than Security 2. Security 4 has a higher R² than Security 2. O Only Security 4 has a positive estimated alpha.

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