Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 11, Problem 37P
Assume all investors want to hold a portfolio that, for a given level of volatility, has the maximum possible expected return. Explain why, when a risk-free asset exists, all investors Will choose to hold the same portfolio of risky stocks.
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Is it possible to construct a portfolio of real-world stocks that has a required return equalto the risk-free rate? Explain.
Portfolio theory tends to define risky investments in terms of just two factors: expectedreturns and variance (or standard deviation) of those expected returns. What assumptions need to be made about investors and the expected investment returns (one assumption in each case) to justify this ‘two-factor’ approach? Are these assumptions justified in real life?
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.
Chapter 11 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 11.1 - What is a portfolio weight?Ch. 11.1 - How do we calculate the return on a portfolio?Ch. 11.2 - What does the correlation measure?Ch. 11.2 - How does the correlation between the stocks in a...Ch. 11.3 - Prob. 1CCCh. 11.3 - Prob. 2CCCh. 11.4 - Prob. 1CCCh. 11.4 - Prob. 2CCCh. 11.4 - Prob. 3CCCh. 11.5 - What do we know about the Sharpe ratio of the...
Ch. 11.5 - If investors are holding optimal portfolios, how...Ch. 11.6 - When will a new investment improve the Sharpe...Ch. 11.6 - Prob. 2CCCh. 11.7 - Prob. 1CCCh. 11.7 - Prob. 2CCCh. 11.8 - Prob. 1CCCh. 11.8 - According to the CAPM, how can we determine a...Ch. 11 - You are considering how to invest part of your...Ch. 11 - You own three stocks: 600 shares of Apple...Ch. 11 - Consider a world that only consists of the three...Ch. 11 - There are two ways to calculate the expected...Ch. 11 - Using the data in the following table, estimate...Ch. 11 - Use the data in Problem 5, consider a portfolio...Ch. 11 - Using your estimates from Problem 5, calculate the...Ch. 11 - Prob. 8PCh. 11 - Suppose two stocks have a correlation of 1. If the...Ch. 11 - Arbor Systems and Gencore stocks both have a...Ch. 11 - Prob. 11PCh. 11 - Suppose Avon and Nova stocks have volatilities of...Ch. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 16PCh. 11 - What is the volatility (standard deviation) of an...Ch. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Suppose Ford Motor stock has an expected return of...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - Prob. 26PCh. 11 - A hedge fund has created a portfolio using just...Ch. 11 - Consider the portfolio in Problem 27. Suppose the...Ch. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - You have 10,000 to invest. You decide to invest...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Assume all investors want to hold a portfolio...Ch. 11 - In addition to risk-free securities, you are...Ch. 11 - You have noticed a market investment opportunity...Ch. 11 - Prob. 40PCh. 11 - When the CAPM correctly prices risk, the market...Ch. 11 - Prob. 45PCh. 11 - Your investment portfolio consists of 15,000...Ch. 11 - Suppose you group all the stocks in the world into...Ch. 11 - Prob. 48PCh. 11 - Consider a portfolio consisting of the following...Ch. 11 - Prob. 50PCh. 11 - What is the risk premium of a zero-beta stock?...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Describe how adding a risk-free security to modern portfolio theory allows investors to do better than the efficient frontier. Additionally, explain how might the magnitude of the market risk premium impact people's desire to buy stocks?arrow_forwardWhich of the following is TRUE? To construct a capital market line, we use expected return as y-axis and beta as x-axis On the capital market line debt securities are located to the right of the market portfolio To construct a security market line, we use expected return as y-axis and beta as x-axis Market portfolio lays at an intersection of the average indifference curve of a risk-averse investor and the efficient portfolioarrow_forwardA portfolio is efficient if no other asset or portfolios offer higher expected return with the same (or lower) risk or lower risk with the same (or higher) expected return. Select one: True Falsearrow_forward
- Which of the following statements regarding non-systematic risk, systematic risk and total risk is/are true? Select one or more:a. As the number of assets within a portfolio increases, the total risk of a portfolio will go to zero.b. A riskfree asset must have zero non-systematic risk.c. A well diversified portfolio must have zero systematic riskd. Under the Capital Asset Pricing Model (CAPM).an asset with zero systematic risk must have expected return equal to the riskfree rate.arrow_forwardConsider 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?arrow_forwardSuppose our portfolio consists of two stocks A and B. What should be the correlation between them so that we have no risk in our portfolio?arrow_forward
- Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investors optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?arrow_forwardPick the correct statement: a. The Risk Premium is always positive. b. The Risk Premium is the additional wealth that the investor needs to get in every state of the world so that the expected utility of the risky portfolio is equal to the utility from getting the average wealth of the portfolio for sure. c. The Risk Premium is the level of wealth that the investor needs to obtain for sure in order to have the same expected utility as the risky portfolio. d. The Risk Premium is always positive for risk loving investors.arrow_forwardThe security market line depicts: a. Expected return as a function of systematic risk (indicated by beta) b. The market portfolio as the optimal portfolio of risky assets c. The relationship between a security’s return and the return on the index d. Portfolio combinations of the market portfolio and the risk-free asset e. Expected return as a function of volatilityarrow_forward
- An efficient portfolio is one that: Select one: a. maximises return for a given level of risk. b. maximises risk for a given level of return. c. minimises risk for a given rate of return. d. Both A and C. are efficient portfolios.arrow_forwardDescribe why a fully diversified portfolio is said to have no unsystematic risk but has systematic risk? Then describe how the Arbritrage Pricing Theory (APT) has a cause and effect on the expected return of a security.arrow_forwardWhich one of the following expressions about risk and returns is wrong? A. In general, one reason why a stock is riskier than a bond is that because cash flows from a bond are known and promised, whereas cash flows from a stock are neither known nor promised. B. According to CAPM model, a well-diversified portfolio will have a beta which equals to 0. C. Risk premium is the extra return provided on risky assets to compensate for risk. The difference between risky return and the risk-free return. D. Unexpected return happened because new information came to light which caused our expectations about prices and returns to change.arrow_forward
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