Statistics for Business & Economics, Revised (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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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 covariance of an investment in the All World Fund with an investment in a treasury bond fund is −12.4.

  1. a. Which of the funds would be considered the more risky? Why?
  2. 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?
  3. 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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Chapter 5 Solutions

Statistics for Business & Economics, Revised (MindTap Course List)

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...
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