Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
8th Edition
ISBN: 9781337114172
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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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?
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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.
What percent of years does this portfolio lose money, i.e. have a return less than 0%? What is the cutoff for the highest 15% of annual returns with this portfolio?
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.
(please round answers to within one hundredth of a percent)
(a) What percent 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?
Please answer B and C.
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 10% with a standard deviation of 17.60% . The expected percent return of an investment in a treasury bond fund is 5.90% and the standard deviation is 3.60%. The covariance of an investment in the All World Fund with an investment in a treasury bond fund is -14.5.
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…
Chapter 5 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
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 - 3. 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 - 7. The probability distribution for the random...Ch. 5.2 - 8. The following data were collected by counting...Ch. 5.2 - Prob. 9ECh. 5.2 - The percent frequency distributions of job...
Ch. 5.2 - A technician services mailing machines at...Ch. 5.2 - 12. Time Warner Cable provides television and...Ch. 5.2 - A psychologist determined that the number of...Ch. 5.2 - 14. 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 - 17. During the summer of 2014, Coldstream Country...Ch. 5.3 - 18. The American Housing Survey reported the...Ch. 5.3 - 19. West Virginia has one of the highest divorce...Ch. 5.3 - The probability distribution for damage claims...Ch. 5.3 - The following probability distributions of job...Ch. 5.3 - 22. The demand for a product of Carolina...Ch. 5.3 - 23. In Gallup’s Annual Consumption Habits Poll,...Ch. 5.3 - 24. The J. R. Ryland Computer Company is...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 - 32. Consider a binomial experiment with n = 10 and...Ch. 5.5 - 33. Consider a binomial experiment with n = 20 and...Ch. 5.5 - 34. For its Music 360 survey, Nielsen Co. asked...Ch. 5.5 - The Center for Medicare and Medical Services...Ch. 5.5 - 36. When a new machine is functioning properly,...Ch. 5.5 - According to a 2013 study by the Pew Research...Ch. 5.5 - Military radar and missile detection systems are...Ch. 5.5 - Market-share-analysis company Net Applications...Ch. 5.5 - A study conducted by the Pew Research Center...Ch. 5.5 - 42. A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - Prob. 43ECh. 5.6 - 44. Consider a Poisson distribution with μ =...Ch. 5.6 - 45. Consider a Poisson distribution with a mean of...Ch. 5.6 - 46. Phone calls arrive at the rate of 48 per hour...Ch. 5.6 - 47. During the period of time that a local...Ch. 5.6 - 48. In 2011, New York City had a total of 11,232...Ch. 5.6 - Airline passengers arrive randomly and...Ch. 5.6 - According to the National Oceanic and Atmospheric...Ch. 5.6 - Prob. 51ECh. 5.7 - Suppose N = 10 and r = 3. Compute the...Ch. 5.7 - 53. Suppose N = 15 and r = 4. What is the...Ch. 5.7 - Online Holiday Shopping. More and more shoppers...Ch. 5.7 - Prob. 55ECh. 5.7 - 56. Axline Computers manufactures personal...Ch. 5.7 - The Zagat Restaurant Survey provides food, decor,...Ch. 5.7 - Prob. 58ECh. 5 - 59. The U.S. Coast Guard (USCG) provides a wide...Ch. 5 - 60. The Car Repair Ratings website provides...Ch. 5 - 61. The budgeting process for a midwestern college...Ch. 5 - 62. A bookstore at the Hartsfield-Jackson Airport...Ch. 5 - The Knowles/Armitage (KA) group at Merrill Lynch...Ch. 5 - 64. The Pew Research Center surveyed adults who...Ch. 5 - 65. The following table shows the percentage of...Ch. 5 - Many companies use a quality control technique...Ch. 5 - 67. PBS News Hour reported that 39.4% of Americans...Ch. 5 - 68. Mahoney Custom Home Builders, Inc. of Canyon...Ch. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - 70. A new automated production process averages...Ch. 5 - A regional director responsible for business...Ch. 5 - Customer arrivals at a bank are random and...Ch. 5 - 73. A deck of playing cards contains 52 cards,...Ch. 5 - 74. U.S. News & World Report’s ranking of...Ch. 5 - Great Grasslands Grains, Inc. (GGG) manufactures...
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