(a) Mr Adani invests in two risky securities with the following details: Security 1: r₁=0.16; ₁=0.30; Security 2:1₂=0.08; ₂=0.25 Where ₁ is the expected return of security 1 and ₁ is the standard deviation of returns of security 1; 1₂ is the expected return of security 2 and is the standard deviation of returns of security 2 The correlation coefficient (P12) between the returns of the two securities is -0.5 (i) Calculate the expected rate of return(r) and risk(o) for the following portfolios: 1.40% security 1 and 60% security 2 II.80% security 1 and 20% security 2 (ii) Given a risk-free rate of 4%, describe how Mr. Adani can use a combination of a risk- free instrument and a risky portfolio with an expected return of 15% to achieve an expected return of 26%.

(a) Mr Adani invests in two risky securities with the following details: Security 1: r₁=0.16; ₁=0.30; Security 2:1₂=0.08; ₂=0.25 Where ₁ is the expected return of security 1 and ₁ is the standard deviation of returns of security 1; 1₂ is the expected return of security 2 and is the standard deviation of returns of security 2 The correlation coefficient (P12) between the returns of the two securities is -0.5 (i) Calculate the expected rate of return(r) and risk(o) for the following portfolios: 1.40% security 1 and 60% security 2 II.80% security 1 and 20% security 2 (ii) Given a risk-free rate of 4%, describe how Mr. Adani can use a combination of a risk- free instrument and a risky portfolio with an expected return of 15% to achieve an expected return of 26%.

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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Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
Suppose you create a portfolio with two securities: Security Security Weight (%) Security Variance (%) X 70 18 Y 30 22 If the correlation coefficient between the two securities is -0.2, what is the standard deviation of the portfolio？
Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.
You own a portfolio equally invested in a risk-free asset and two stocks. One of has risky as has a beta of 1.6, and the total portfolios is equally as risky as the market. What's the beta of the second stock?
There are three risky securities (A, B, and C) in the market. An investor can only invest in individual securities (not portfolio). E(r) σ A 0.2 1 B 0.3 2 C 0.21 3 (a) If a risk-averse investor prefers security C to security A. Will the investor prefer security B to security A?(b) Are there risk-averse investors who prefer A to B? [Hint: draw a graph to answer this question.]
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…
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Ethan owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of Ethan's portfolio value consists of FF's shares, and the balance consists of PP's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Strong Normal Probability of Occurrence 0.50 0.25 Falcon Freight Pheasant Pharmaceuticals 27.5% 38.5% 16.5% 22% Weak 0.25 -22% -27.5% Calculate expected…
Q1: Suppose there are (N) securities in the market and it is Expected return for each security = 10%. It was a contrast For any security = 0.0144 and the deviation was The common (covariance) between any two cards = 0.0064 Required: 1-Determine the expected return and variance of a portfolio consisting of... (N) paper, note that the relative weight of all papers equal = 1-N? 2- Explain what happens to the variance of this portfolio as it increases value(N)?
You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.27 and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Beta
Find the weights of the two pure factor portfolios constructed from the following three securities: r1 = .06 + 2F¡ + 2F, r2 = .05 + 3F, + IF, r3 = .04 + 3F, + OF, Then write out the factor equations for the two pure factor portfolios, and determine their risk premiums. Assume a risk-free rate that is implied by the factor equations and no arbitrage.
Consider the following securities: state Probability A B A B H M L 0.2 0.5 0.3 с 6 10 6 3 7 12 2 5 14 1. The expected payoff of A is: 2. The standard deviation of A is: 3. If the price of A is 3, its expected return is: 4. The covariance between A and B is: 5. The correlation coefficient between A and B is: 6. Is it possible to build a portfolio that has zero variance using A and C? YES/ NO

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