Statistics for Business & Economics
12th Edition
ISBN: 9781285528830
Author: David R. Anderson
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 63SE
The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the investment alternatives they make available to clients is the All World Fund composed of global stocks with good dividend yields. One of their clients is interested in a portfolio consisting of investment in the All World Fund and a treasury bond fund. The expected percent return of an investment in the All World Fund is 7.80% with a standard deviation of 18.90%. The expected percent return of an investment in a treasury bond fund is 5.50% and the standard deviation is 4.60%. The
- a. Which of the funds would be considered the more risky? Why?
- b. If KA recommends that the client invest 75% in the All World Fund and 25% in the treasury bond fund, what is the expected percent return and standard deviation for such a portfolio? What would be the expected return and standard deviation, in dollars, for a client investing $10,000 in such a portfolio?
- c. If KA recommends that the client invest 25% in the All World Fund and 75% in the treasury bond fund, what is the expected return and standard deviation for such a portfolio? What would be the expected return and standard deviation, in dollars, for a client investing $10,000 in such a portfolio?
Which of the portfolios in parts (b) and (c) would you recommend for an aggressive investor? Which would you recommend for a conservative investor? Why?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money.
A) What percentage of years does this portfolio lose money, i.e. have a return less than 0%?
B) What is the cutoff for the highest 15% of annual returns with this portfolio?
Hi! I was working on the question below:
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn’t change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money.
And question (a) looks like:
What percent of years does this portfolio lose money, i.e. have a return less than 0%?
I got a z-score of -0.4455, which corresponds to the p value of 0.3264 on the z-table; I don't understand why the correct answer should be 0.3280 as said by one of the solutions, and I cannot locate such a number on the z-table.
Thank you so much!
A survey of 137 investment managers in a poll revealed the following.
• 46% of managers classified themselves as bullish or very bullish on the stock market.
• The average expected return over the next 12 months for equities was 11.5%.
• 21% selected health care as the sector most likely to lead the market in the next 12 months.
• When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.8 years.
(a)
Cite two descriptive statistics. (Select all that apply.)
O Of those investment managers surveyed, 46% were bullish or very bullish on the stock market.
V of those investment managers surveyed, 21% selected health care as the sector most likely to lead the market in the next 12 months.
V of those investment managers surveyed, 46% were bullish or very bullish on health care stocks over the next 2.8 years.
O Of those investment managers surveyed, 11.5% expect it would take 12 months for equities to…
Chapter 5 Solutions
Statistics for Business & Economics
Ch. 5.1 - Consider the experiment of tossing a coin twice....Ch. 5.1 - Consider the experiment of a worker assembling a...Ch. 5.1 - Three students scheduled interviews for summer...Ch. 5.1 - In January the U.S. unemployment rate dropped to...Ch. 5.1 - To perform a certain type of blood analysis, lab...Ch. 5.1 - Listed is a series of experiments and associated...Ch. 5.2 - The probability distribution for the random...Ch. 5.2 - The following data were collected by counting the...Ch. 5.2 - For unemployed persons in the United States, the...Ch. 5.2 - The percent frequency distributions of job...
Ch. 5.2 - A technician services mailing machines at...Ch. 5.2 - The two largest cable providers are Comcast Cable...Ch. 5.2 - A psychologist determined that the number of...Ch. 5.2 - The following table is a partial probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - The number of students taking the SAT has risen to...Ch. 5.3 - The American Housing Survey reported the following...Ch. 5.3 - The National Basketball Association (NBA) records...Ch. 5.3 - The probability distribution for damage claims...Ch. 5.3 - The following probability distributions of job...Ch. 5.3 - The demand for a product of Carolina Industries...Ch. 5.3 - Prob. 23ECh. 5.3 - The J. R. Ryland Computer Company is considering a...Ch. 5.4 - Given below is a bivariate distribution for the...Ch. 5.4 - A person is interested in constructing a...Ch. 5.4 - The Chamber of Commerce in a Canadian city has...Ch. 5.4 - PortaCom has developed a design for a high-quality...Ch. 5.4 - J.P. Morgan Asset Management publishes information...Ch. 5.4 - In addition to the information in exercise 29 on...Ch. 5.5 - Consider a binomial experiment with two trials and...Ch. 5.5 - Consider a binomial experiment with n = 10 and p =...Ch. 5.5 - Consider a binomial experiment with n = 20 and p =...Ch. 5.5 - A Harris Interactive survey for InterContinental...Ch. 5.5 - In San Francisco, 30% of workers take public...Ch. 5.5 - When a new machine is functioning properly, only...Ch. 5.5 - A Randstad/Harris interactive survey reported that...Ch. 5.5 - Military radar and missile detection systems are...Ch. 5.5 - Twelve of the top 20 finishers in the 2009 PGA...Ch. 5.5 - The Census Bureaus Current Population Survey shows...Ch. 5.5 - A university found that 20% of its students...Ch. 5.5 - According to a survey conducted by TD Ameritrade,...Ch. 5.5 - Twenty-three percent of automobiles are not...Ch. 5.6 - Consider a Poisson distribution with = 3. a....Ch. 5.6 - Consider a Poisson distribution with a mean of two...Ch. 5.6 - Phone calls arrive at the rate of 48 per hour at...Ch. 5.6 - During the period of time that a local university...Ch. 5.6 - More than 50 million guests stay at bed and...Ch. 5.6 - Airline passengers arrive randomly and...Ch. 5.6 - An average of 15 aircraft accidents occur each...Ch. 5.6 - The National Safety Council (NSC) estimates that...Ch. 5.7 - Suppose N = 10 and r = 3. Compute the...Ch. 5.7 - Suppose N = 15 and r = 4. What is the probability...Ch. 5.7 - In a survey conducted by the Gallup Organization,...Ch. 5.7 - Blackjack, or twenty-one as it is frequently...Ch. 5.7 - Axline Computers manufactures personal computers...Ch. 5.7 - The Zagat Restaurant Survey provides food, decor,...Ch. 5.7 - The Troubled Asset Relief Program (TARP), passed...Ch. 5 - The Barrons Big Money Poll asked 131 investment...Ch. 5 - The American Association of Individual Investors...Ch. 5 - The budgeting process for a midwestern college...Ch. 5 - A bookstore at the Hartsfield-Jackson Airport in...Ch. 5 - The Knowles/Armitage (KA) group at Merrill Lynch...Ch. 5 - A survey showed that the average commuter spends...Ch. 5 - A political action group is planning to interview...Ch. 5 - Many companies use a quality control technique...Ch. 5 - The unemployment rate in the state of Arizona is...Ch. 5 - A poll conducted by Zogby International showed...Ch. 5 - Cars arrive at a car wash randomly and...Ch. 5 - A new automated production process averages 1.5...Ch. 5 - A regional director responsible for business...Ch. 5 - Customer arrivals at a bank are random and...Ch. 5 - A deck of playing cards contains 52 cards, four of...Ch. 5 - U.S. News World Reports ranking of Americas best...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- A FiveThirtyEight.com article reports that “Horror movies get nowhere near as much draw at the box office as the big-time summer blockbusters or action/adventure movies ... but there’s a huge incentive for studios to continue pushing them out. The return-on-investment potential for horror movies is absurd.” To investigate how the return-on-investment compares between genres and how this relationship has changed over time, an introductory statistics student fit a model predicting the ratio of gross revenue of movies from genre and release year for 1,070 movies released between 2000 and 2018. Using the plots given below, determine if this regression model is appropriate for these dataarrow_forwardA portfolio's value increases by 20% during a financial boom and by 7% during normal times. It decreases by 14% during a recession. What is the expected return on this portfolio if each scenario is equally likely?arrow_forwardDiscuss two extensions to the original GARCH (p,q) model and explain additional characteristics of financial data they might be able to capture.arrow_forward
- A stock has monthly returns of 9%, 22%, 15%, and 28%. What is the stock's geometric average return?arrow_forwardA survey of 137 investment managers in a poll revealed the following. • 46% of managers classified themselves as bullish or very bullish on the stock market. • The average expected returm over the next 12 months for egquities was 11.5%. - 21% selected health care as the sector most likely to lead the market in the next 12 months. • When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.8 years (a) Cite two descriptive statistics. (Select all that apply.) O of those investment managers surveyed, 46% were bulish or very bullish on the stock market. O of those investment managers surveyed, 21% selected health care as the sector most likely to lead the market in the next 12 months. D of those investment managers surveyed, 46% were bulish or very bullish on health care stocks over the next 2.8 years. D of those linvestment managers surveyed, 11.5% expect it would take 12 months for equities to resume…arrow_forwardCite two descriptive statistics (Select all that apply.) -Of those investment managers surveyed, 21% selected health care as the sector most likely to lead the market in the next 12 months. -Of those investment managers surveyed, 43% were bullish or very bullish on health care stocks over the next 2.9 years. -Of those investment managers surveyed, 11.4% expect it would take 12 months for equities to resume sustainable growth. -Of those investment managers surveyed, 43% were bullish or very bullish on the stock market. -Of those investment managers surveyed, 43% selected technology and telecom stocks to be the sector most likely to lead the market in the next 12 months.arrow_forward
- The recent economic downturn resulted in the loss of jobs and an increase in delinquentloans for housing. In projecting where the real estate market was headed in the comingyear, economists studied the relationship between the jobless rate and the percentage ofdelinquent loans. The expectation was that if the jobless rate continued to increase, therewould also be an increase in the percentage of delinquent loans. The following data showthe jobless rate and the delinquent loan percentage for 27 major real estate markets. a. Compute the correlation coefficient. Is there a positive correlation between the joblessrate and the percentage of delinquent housing loans? What is your interpretation?b. Show a scatter diagram of the relationship between the jobless rate and the percentagearrow_forwardA research analyst is trying to determine whether a firm’s price-earnings (P/E) and price-sales (P/S) ratios can explain the firm’s stock performance over the past year. A P/E ratio is calculated as a firm’s share price compared to the income or profit earned by the firm per share. Generally, a high P/E ratio suggests that investors are expecting higher earnings growth in the future compared to companies with a lower P/E ratio. The P/S ratio is calculated by dividing a firm’s share price by the firm’s revenue per share for the trailing 12 months. In short, investors can use the P/S ratio to determine how much they are paying for a dollar of the firm’s sales rather than a dollar of its earnings (P/E ratio). In general, the lower the P/S ratio, the more attractive the investment. The accompanying table shows the year-to-date (YTD) returns and the P/E and P/S ratios for a portion of the 30 firms included in the Dow Jones Industrial Average.…arrow_forwardQUESTION 3 Ahmed is looking for a safe investment that provides stable returns with less risk. Assume he has two options for investment: Stock Alpha, of a company with strong financial performance, that offers an average return of 14% with a standard deviation of 6%. The second option is an Exchange-Traded Fund (ETF) that averages a return of 10% with a standard deviation of 5%. Which option should Ahmed choose? O Stock Alpha since it is more risky than ETF. O ETF since it is more risky than Stock Alpha. O Stock Alpha since it is less risky than ETF. O ETF since it is less risky than Stock Alpha. QUESTION 4 A manufacturer of new microprocessors claims that less than 1% of his products are defective. This value is an example of a O variable. O sample. O parameter. O statistic QUESTION 5 Identify the outlier(s) for the given data values: 110 125 97 117 101 103 123 167 101 QUESTION 6 Mariam scored 59.10 marks on a Final Exam of MTH-213. The mean score of the class was 69.39 with a…arrow_forward
- The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28 a) Using a calculator find Q1, Q3, median and IQR b) Determine the lower and upper fences. (Show work) c) Identify the outliers (if any) in this setarrow_forwardYou may need to use the appropriate technology to answer this question. One particular professional association of investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. The survey results showed 38.2% bullish, 23.4% neutral, and 38.4% bearish. Assume these results are based on a sample of 300 members. (a) Over the long term, the proportion of bullish members is 0.39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long term average of 0.39. What are your findings? Formulate the hypotheses that can be used to determine whether the bullish sentiment differs from its long term average of 0.39. Hop 20.39 Hip 0.39 HoP-0.39 HP 0.39 Ho: P 0.39 HDS 0.39 Find the value of the test statistic. (Round your answer to two decimal places.) 38 x Find the p-value. (Round your answer to four decimal places.)…arrow_forwardBrokers generally agree that bonds are a better investment during times of low interest rates than during times of high interest rates. A survey of executives during a time of low interest rates showed that 57% of them had some retirement funds invested in bonds. Assume this percentage is constant for bond market investment by executives with retirement funds. Suppose interest rates have risen lately and the proportion of executives with retirement investment money in the bond market may have dropped. To test this idea, a business analyst randomly samples 215 executives who have retirement funds. Of these, 91 now have retirement funds invested in bonds. For a = .10, does the test show enough evidence to declare that the proportion of executives with retirement fund investments in the bond market is significantly lower than .57? Appendix A Statistical Tables (Round the intermediate values to 3 decimal places, e.g. 15.254. Round your answer to 2 decimal places, e.g. 15.25.) The value of…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License