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Part 1: Sector Performance Investment managers strive to outperform both the sector they focus on and broad market indexes such as the S&P 500. The

Part 1: Sector Performance

Investment managers strive to outperform both the sector they focus on and broad market indexes such as the S&P 500. The performance of a portfolio is determined by both the weightings given to different types of investments as well as the actual performance of these investments. In addition, the level of risk an investor is willing to take on will impact the design of a portfolio.

To answer the questions in Part 1, youll use the information provided about the portfolio in the table below. The portfolio is broken out by sectors and shows the investors portfolios weighting and performance and the S&P 500s weighting and performance in each sector. The final column shows the individual investments overall contributions to the portfolio. Note that an investment can underperform the S&P and still have a positive contribution to the portfolio based on the difference in weighting.

Portfolio Information
Sector (1) Portfolio Weighting (2) S&P Weighting (3) Differen-ces in Weighting (4) Portfolio Return (5) S&P Return (6) Sector Over-or Under- Perform ance (7) = (3) x (6) Sector Allocation Contributions
Telecom- munications Services 3.10% 5.90% a. ? 2.50% 3.10% k. ? u. ?
Utilities 7.50% 3.80% b. ? 3.10% 1.90% l. ? v. ?
Information Technology 14.30% 17.90% c. ? 4.90% 3.20% m. ? w. ?
Materials 6.30% 3.70% d. ? 4.80% 5.10% n. ? x. ?
Financials 13.40% 17.10% e. ? 6.20% 4.80% o. ? y. ?
Consumer Discretionary 12.70% 13.50% f. ? 2.10% 4.00% p. ? z. ?
Industrials 14.10% 11.90% g. ? 4.90% 3.10% q. ? aa. ?
Energy 8.40% 8.00% h. ? 3.70% 8.60% r. ? bb. ?
Healthcare 15.30% 11.70% i. ? 9.80% 5.70% s. ? cc. ?
Consumer Staples 4.90% 6.50% j. ? 1.50% 13.20% t. ? dd. ?
  1. Fill in the missing values in the table above for a quarterly comparison of sectors with the S&P 500 Index. Remember when performing calculations that the numbers shown are percentage values. Record your answers as percentage values to two decimal places.
    a. _______ k. _______ u. _______
    b. _______ l. _______ v. _______
    c. _______ m. _______ w. _______
    d. _______ n. _______ x. _______
    e. _______ o. _______ y. _______
    f. _______ p. _______ z. _______
    g. _______ q. _______ aa. _______
    h. _______ r. _______ bb. _______
    i. _______ s. _______ cc. _______
    j. _______ t. _______ dd. _______
  2. Did the performance turned in by the investment manager underperform or outperform the S&P 500? By how much? Show your work.
  3. Which sector turned in the greatest positive contribution to the portfolios performance? Explain why this investment made the greatest positive contribution based on the differences in weighting and the sector over- or under- performance.
  4. Which sector made the greatest negative contribution to the portfolios performance? Explain why this investment made the greatest negative contribution based on the differences in weighting and the sector over- or under- performance.

Part 2: Portfolio Analysis

Use the three portfolios shown below to answer questions 58 in Part 2.

Portfolio 1
Security Amount Invested Expected Return Beta
Security A $ 4,000 9% .80
Security B $ 5,000 12% 1.15
Security C $ 12,000 14% .95
Security D $ 8,000 15% 1.23
Portfolio 2
Security Amount Invested Expected Return Beta
Security A $ 3,000 16% 1.22
Security B $ 11,000 13% 1.54
Security C $ 9,000 8% .87
Security D $ 6,000 11% .81
Portfolio 3
Security Amount Invested Expected Return Beta
Security A $15,000 10% 1.72
Security B $12,000 9% .81
Security C $ 3,000 12% .72
Security D $ 2,000 15% 1.54
  1. Based on beta, which portfolio has the highest level of systematic risk? Show your work.
  2. If the risk-free rate is 5.5 percent, which of these portfolios has the highest reward-to-risk ratio? Show your work.
  3. Suppose that the risk-free rate is 5.5 percent, the return over three years for each portfolio matches its expected return, and the portfolios have 3-year annual return standard deviations as follows:
    Portfolio 1 22%
    Portfolio 2 26%
    Portfolio 3 18%
    If you were restricted to selecting one of the three portfolios to invest all your money in, which should you choose based on that portfolio having the best ratio of excess return per unit of total risk as measured by its Sharpe ratio?
  4. Suppose that the actual returns for Portfolios 1, 2, and 3 were as follows:
    Portfolio 1 11.3
    Portfolio 2 12.5
    Portfolio 3 9.4
    Also, assume that the risk-free rate was 5.5 percent and the average return on the market portfolio was 8 percent.
    1. Which of the three portfolios has the highest Jensens alpha? Show your work.
    2. Which has the highest Treynor ratio? Show your work.

Part 3: Selecting a Portfolio

Use the two portfolios shown in the tables below to answer the questions in Part 3.

Portfolio 1
Asset Category Percentage of Portfolio
U.S. small-company stocks 5
U.S. large-company stocks 10
International stocks 5
U.S. government bonds 50
U.S. corporate bonds 30
Portfolio 2
Asset Category Percentage of Portfolio
U.S. small-company stocks 20
U.S. large-company stocks 30
International stocks 25
U.S. government bonds 15
U.S. corporate bonds 10
  1. In your role as a financial advisor, youre advising a client, Sally, a 30-year old computer programmer who makes an above-average salary. Shes investing money in her 401(k) that she doesnt plan to use until retirement. In your opinion, which of the two portfolios above would be most appropriate for these funds? In your answer, explain why you believe the portfolio youve chosen is appropriate and explain why the portfolio you didnt choose is not appropriate.
  2. In your role as a financial advisor, youre advising a client, Bob, who has just retired and rolled over his 401(k) into a self-directed IRA account. Bob intends to use these funds to provide income to live on in his retirement. In your opinion, which of the two portfolios above would be most appropriate for these funds? In your answer, explain why you believe the portfolio youve chosen is appropriate and explain why the portfolio you didnt choose is not appropriate.

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