Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
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 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 (with XLSTAT Education Edition Printed Access Card)

Ch. 5.2 - A technician services mailing machines at...Ch. 5.2 - Time Warner Cable provides television and Internet...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 - During the summer of 2014, Coldstream Country Club...Ch. 5.3 - The American Housing Survey reported the following...Ch. 5.3 - West Virginia has one of the highest divorce rates...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 - In Gallups Annual Consumption Habits Poll,...Ch. 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 - For its Music 360 survey, Nielsen Co. asked...Ch. 5.5 - The Center for Medicare and Medical Services...Ch. 5.5 - When a new machine is functioning properly, only...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 - A university found that 20% of its students...Ch. 5.5 - A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - According to a 2010 study conducted by the...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 - In 2011, New York City had a total of 11,232 motor...Ch. 5.6 - Airline passengers arrive randomly and...Ch. 5.6 - According to the National Oceanic and Atmospheric...Ch. 5.6 - Over 500 million tweets are sent per day (Digital...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 - A recent survey showed that a majority of...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 U.S. Coast Guard (USCG) provides a wide...Ch. 5 - The Car Repair Ratings website provides consumer...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 - The Pew Research Center surveyed adults who...Ch. 5 - The following table shows the percentage of...Ch. 5 - Many companies use a quality control technique...Ch. 5 - PBS News Hour reported that 39.4% of Americans...Ch. 5 - Mahoney Custom Home Builders, Inc. of Canyon Lake,...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...Ch. 5 - Prob. 1CP
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