Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 11, Problem 36P
Summary Introduction
To discuss: The fund that is recommended by Person X (financial advisor) without knowing about the client’s risk.
Introduction:
Portfolio refers to a set of financial investments owned by an investor. The portfolio of investments includes debentures, stocks, bonds, and mutual funds.
The average return that is incurred in excess of the risk-free rate per unit of the volatility is termed as Sharpe ratio. Its measure indicates the amount of excess return that an investor incurs for an additional volatility, which the investor endures for holding a risky asset. The efficient portfolio is a particular portfolio with the maximum Sharpe ratio in an economy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that a mutual fund agent approaches you and promote a fund which allows you to withdraw money from your Employment Provident Fund (EPF) to invest. From the analysis of the agent, the fund expected to pay up to 11% return, and you know that EPF paid an average 6% return and treasury’s return fixed at 2.75%. Based on the discussion in this chapter and in your opinion, are you going to take the investment? Justify your answer
Consider the following risk-return characteristics for funds A and B:
Expected return
Risk
Fund A (Equity)
12%
20%
Fund B (Debt)
9%
16%
The correlation coefficient between the returns of fund A and fund B is 0.4.
1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write
3 if your answer is undetermined.
2.1 What is the weight of fund A in the minimum variance portfolio?
2.4 What is the risk of the minimum variance portfolio?
2.2 What is the weight of Fund B in the minimum variance portfolio?
2.3 What is the expected return of the minimum variance portfolio?
3. Consider an individual who has the possibility of investing an amount t in period 1 in a
fund that gives an amount s in period 2.
(a) If the interest rate r is positive, what would be the smallest s so that it is optimal for
the consumer to accept that investment?
(b) If t = 100 and s =
115, what is the highest interest rate at which the individual is
willing to invest in that fund?
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?...
Knowledge Booster
Similar questions
- As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond fundsarrow_forwardYou are considering investing in one of several mutual funds. All the funds under consideration have various combinations of front-end and back-end loads and/or 12b-1 fees. The longer you plan on remaining in the fund you choose, the more likely you will prefer a fund with a rather than (a)__ everything else equal. a) 12b-1 fee; back-end load b) front-end load; 12b-1 fee c) 12b-1 fee; front-end load d) front-end load; back-end load e) 12b-1 fee; no load chargearrow_forwardIf you wish to purchase a mutual fund with low annual fees you should collect information on the of the various funds. O a) MER O b) P/E c) EPS O d) betaarrow_forward
- Solve the problems listed below. Show your solution and box the final answer. (bond or yellow paper) 1. A fund is set up to charge a load. Its net asset value is P16.50 and its offer price is P17.30. A. How much is the commission of the load? B. What percentage of the offer price does the commission represent? C. What percentage of the net asset value does the commission represent? D. Assume the fund increased in value by .30 the first month after you purchased 100 shares. What is the total gain or loss? Compare the total current value with the total purchase amount. E. By what percentage would the net asset value of the shares have to increase for you to break even? 2. Under peso-cost averaging, an investor will purchase P6,000 worth of stock each year for three years. The stock price is P40 in year 1, P30 in year 2 and P48 in year 3. A. What is the share purchased in every year? B. Compute the average price per share. C. Compute the average cost per share. 3. Under peso-cost…arrow_forwardThe returns on the Bledsoe Small-Cap Fund are the most volatile of all the mutual funds offered in the 401(k) plan. Why would you ever want to invest in this fund? When you examine the expenses of the mutual funds, you will notice that this fund also has the highest expenses. Does this affect your decision to invest in this fund? A measure of risk-adjusted performance that is often used is the Sharpe ratio. The Sharpe ratio is calculated as the risk premium of an asset divided by its standard deviation. The standard deviation and return of the funds over the past 10 years are listed below. Calculate the Sharpe ratio for each of these funds. Assume that the expected return and standard deviation of the company stock will be 15 percent and 65 percent, respectively. Calculate the Sharpe ratio for the company stock. How appropriate is the Sharpe ratio for these assets? When would you use the Sharpe ratio? Assume the risk-free rate was 2.76 percent. 10-YEAR ANNUAL RETURN…arrow_forwardAn investor considers two mutual funds. Based on past experience, the first fund has an expected return of 0.08 and a standard deviation of 0.05. The second fund has an expected return of 0.07 and a standard deviation of 0.06. There is no reason to assume that future performance of these funds will differ from past performance. However, the second fund has a guarantee attached that the return in any year will not be negative.RequiredA. Which fund would a rational investor be likely to buy according to single-person decision theory?B. The investor buys the second fund. Use prospect theory to explain why.arrow_forward
- Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 9%, Op = 24%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse?arrow_forwardA pension fund manager is considering three mutual funds. The first in a stock fund The second is a long-term bond fund The third is a money market fund that provides a safe return of 5% The characterisitics of the risky funds are as follows: Use this data for problems #5 - #9 5.00% Stock Fund Bond Fund Correlation (rho) A 9224 6223 money market return 9123 Expected Return 28.00% What is the reward-to volatility ratio of the Optimal Capital Asset Line? This is the Sharpe Ratio. 20.00% -0.2000 Stdev 39.00% 26.00% Iarrow_forwardSuppose you have recently accepted a new job and are setting up your retirement allocations within the firm's 401k plan. The plan options contain two risky mutual funds, A and B. You may assume that all fees are the same across the two funds. Fund A has an expected return of 6% and the standard deviation of returns is 12%. Fund B has an expected return of 7% and the standard deviation of returns is 15%. The correlation between returns on the two funds is 0. The plan also contains a Treasury fund which provides a risk-free return of 3%. A Suppose you can only invest in one of the two risky mutual funds (A or B), but can combine it with the Treasury fund in any proportions you wish. Which of the two mutual funds would you choose and why B Maintaining the restrictions on your investment choices from the last question, what is the best expected return you could achieve if you set up a portfolio with a standard deviation of returns equal to 10%? (Please express your answer in percentage…arrow_forward
- An insurance fund is analysing the performance of three different fund managers A, B and C. Each manager invests in one third of all asset classes to maintain a well diversified portfolio. The following information is available: A B C Market portfolio Average net return (%) 5 8 9 9 Volatility (%) 18 24 21 20 Beta 0.8 1.1 1.3 A risk free rate is established to be 2%. Calculate for each of the fund managers the expected return using CAPM, ex post Sharpe Ratio, Treynor Ratio, M2 alpha and Jensen’s alpha. Interpret your results.arrow_forwardConsider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 8%, op = 15%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse? Complete this question by entering your answers in the tabs below. Required A Required B Required C Risky portfolio Risk-free asset Answer is complete but not entirely correct. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall…arrow_forwardA pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 4%. The characteristics of the risky funds are as follows: Stock fund (S) Exp. Return Bond fund (B) 0.43 15% O 1.00 0.70 11% The correlation between the fund returns is 0.2. Solve numerically for the Sharpe Ratio of the optimal risky portfolio. 0.66 Std. Deviation 0.85 26% 12%arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning