Study Guide for Microeconomics
9th Edition
ISBN: 9780134741123
Author: Robert Pindyck, Daniel Rubinfeld
Publisher: PEARSON
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Question
Chapter 5, Problem 9RQ
To determine
The reason due to which some investors invest in risky assets and some invest in risk-free assets.
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Explain how a given investor chooses an optimal portfolio. Will this choice always be a diversified portfolio, or could it be a single asset? Explain your answer based on the utility curves and the efficient frontier.
Which statement about portfolio diversification is CORRECT?
i) Typically, as more securities are added to a portfolio, total risk would be expected to decrease at an increasing rate.ii) Proper diversification can reduce or eliminate total risk.iii) The risk-reducing benefits of diversification do not occur meaningfully until at least 50-60 individual securities have been purchased.iv) Because diversification reduces a portfolio's total risk, it necessarily reduces the portfolio's expected return.
If investors want portfolios with small risk, should they look for investments that have positive covariance, have negative covariance, or are uncorrelated?
Does a portfolio formed from the mix of three investments have more risk than a portfolio formed from two?
Chapter 5 Solutions
Study Guide for Microeconomics
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Similar questions
- which one is correct? QUESTION 12 Exhibit 6B.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The general equation for the weight of the first security to achieve the minimum variance (in a two-stock portfolio) is given by: W1 = [E(σ1)2 − r1.2 E(σ1) E(σ2)] &χεδιλ; [E(σ1)2 + E(σ2)2 − 2 r1.2 E(σ1) E(σ2)] Refer to Exhibit 6B.1. Show the minimum portfolio variance for a portfolio of two risky assets when r1.2 = − 1. a. E(σ1) &χεδιλ; [E(σ1) − E(σ2)] b. E(σ2) &χεδιλ; [E(σ1) − E(σ2)] c. None of these are correct. d. E(σ1) &χεδιλ; [E(σ1) + E(σ2)] e. E(σ2) &χεδιλ; [E(σ1) + E(σ2)]arrow_forwardStock X has a 9.5% expected return, a beta coefficient of 0.8, and a 30% standard deviation of expected returns. Stock Y has a 12.0% expected return, a beta coefficient of 1.1, and a 30.0% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%. Calculate the required return of a portfolio that has $7,500 invested in Stock X and $5,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places. rp = %arrow_forwardWhich of the following statements is most correct? If you add enough randomly selected stocks to a portfolio, you can completely eliminate all of the market risk from the portfolio. If you form a large portfolio of stocks each with a beta greater than 1.0, this portfolio will have more market risk than a single stock with a beta = 0.8. Company-specific risk can be reduced by forming a large portfolio, but normally even highly diversified portfolios are subject to market risk. Answers a, b, and c are correct. Answers b and c are correct.arrow_forward
- Consider two investors A and B.If the Certainty-Equivalent end-of-period wealth of A is less than the Certainty-Equivalent end-of-period wealth of B for the same portfolio choice,then A. Risk aversion of A > Risk aversion of B B. Risk aversion of A = Risk aversion of B C. Risk aversion of A< Risk aversion of B D. Not enough Information Justify your choice in a sentence or two：arrow_forwardcompare and contrast the three portfolio management theories: a) Modern Portfolio Theory by Markowitz b) Active Portfolio Management by Grinold & Kahn c) Equilibrium Approach by Black-Littermanarrow_forwardElizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient of correlation increases. The standard deviation of the portfolio returns decreases as the coefficient of correlation increases. The standard deviation of the portfolio returns increases as the coefficient of correlation decreases.arrow_forward
- From the following equation for expected returns, explain what may cause stock prices to decrease in economic recessions: E(r) – risk-free rate = A*Var(r) A is the risk aversion for the average investor, and Var(r) is the variance of the market portfolio. Assume that investor risk aversion is constant.arrow_forwardWhen a company decides to sell its stock to the public for the first time, it hires the services of a broker or brokerage firm. True or Falsearrow_forwardHow to replicate the payoff of a bond (riskless portfolio) using shares and call options? Based on this conclusion, how does a single-step binomial tree option pricing model work?arrow_forward
- What will happen if two assets are earning the same expected return, but one is more risky than the other?arrow_forwardUsing the Utility Function in Portfolio Management, where the utility function is the constant relative risk aversion utility of wealth function U(W) = W^(gamma)/gamma, set gamma to 0.5 and consider a 50-50 bet on winning 50,000 or getting nothing. What is the certainty equivalent wealth for this bet under these assumptions? Group of answer choices 30,000 10,000 25,000 12,500arrow_forwardPortfolios A, B, and C all lie on the efficient frontier that allows for risk-free borrowing and lending. Portfolio A and B have the following expected returns and return variances: A: μ_A=0.0925 , σ_A^2=0.0225 ; B: μ_B=0.11 , σ_B^2=0.04. Portfolio C’s return has variance σ_C^2=0.1225. What is the expected return and Sharpe ratio of Portfolio C? What is the risk-free interest rate? Explain your calculationsarrow_forward
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