Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Chapter 11, Problem 3P

Blair & Rosen. Inc. (B&R) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $50,000 to invest. B&R’s investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 12%, and the Blue Chip fund has a projected annual return of 9%. The investment advisor requires that at most $35,000 of the client’s funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per $1,000 invested. The Blue Chip fund has a risk rating of 4 per $1,000 invested. For example, if $10,000 is invested in each of the two investment funds, B&R’s risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally. B&R developed a questionnaire to measure each client’s risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 240.

  1. a. Formulate a linear programming model to find the best investment strategy for this client.
  2. b. Build a spreadsheet model and solve the problem using Solver. What is the recommended investment portfolio for this client? What is the annual return for the portfolio?
  3. c. Suppose that a second client with $50,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 320. What is the recommended investment portfolio for this aggressive investor?
  4. d. Suppose that a third client with $50,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 160. Develop the recommended investment portfolio for the conservative investor.
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Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $70,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 8%, whereas the Blue Chip fund has a projected annual return of 7%. The investment advisor requires that at most $45,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be 6(10) +…
You have $5000 to invest for 1 year. Fund A has an estimated 4% annual return, and Fund B has an estimated 10% annual return. Fund A is more stable, and preferred among investors with low risk tolerance. Fund B is less stable, but has larger returns. Answer the following questions about this investment opportunity.
At the end of​ 2009, right after the great recession of​ 2008-2009, business partners Mario and Luigi sold their plumbing business and retired. Each of them received​ $1,000,000 net from the sale. Mario holds an undergaduate business degree and understands​ risk, return, and divesification. He decides to invest his​ 1M$ in SPY ETF​ (essentially a stock that tracks the​ S&P 500 index​ performance). Luigi comes from a low income family and could not afford to go to college. He​ doesn't understand finance and he fears​ risk, so he decides to put his money in a bank savings account. The average​ S&P500 annual return from 2010 to 2019 has been​ 11.3%, the average annual return on a standard savings account has been​ 0.1% over the last 10 years. What is the difference in FV value​ (end of​ 2019) between Mario and Luigi investment​ holdings?
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