A pensioner is expecting a lump sum of GHC 200,000 when she goes on pension next year and is thinking of the best way to allocate the funds to be received. An investment analyst has introduced her to a four funds as follows:
- Gamma Fund: This specializes in
money market instruments and bonds of large corporations - Delta Fund: This specializes in equities of exchange listed financial institutions
- Beta Fund: This specializes in bonds and equities of all good performing companies
- Index Fund: This is a portfolio that mimics the Ghana Stock Exchange All Share Index
The investment analyst gathered information about the performance of the four funds and this is presented below:
Funds |
Mean Return |
Standard Deviation |
Beta Co-efficient |
|
|
|
|
Gamma |
15% |
8% |
0.25 |
Delta |
20% |
14% |
1.20 |
Beta |
18% |
14% |
0.85 |
Index |
17% |
12% |
1.00 |
The rate on Government of Ghana five-year bond which is used as the standard risk-free rate is 8% per annum. The pensioner is looking for the best way to allocate the lumpsum when it is received. She intends allocating the money based on the performance of the funds as indicated by the standard methods for measuring mutual funds’ performance in the manner indicated below:
Performance |
1st |
2nd |
3rd |
4th |
Planned Allocation |
40% |
30% |
20% |
10% |
You are required to assess the performances of the four mutual funds above using the following
- Sharpe Performance Index
- Treynor Performance Index
- Jensen Performance Index
For each fund indicate how the pensioner should allocate the lump sum based on performance of the fund.
Step by stepSolved in 6 steps
- i Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (s) Expected Return 15% Standard Deviation 32% 9% 23% Bond fund (B) The correlation between the fund returns is 0.15. Required: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Sharpe ratioarrow_forwardRahularrow_forward! Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Expected Return 16% 10% Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.11. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Standard Deviation 40% 31% % % % %arrow_forward
- Your broker has suggested that you diversify your investments by splitting your portfolio among mutual funds, municipal bond funds, stocks, and precious metals. They suggest three good mutual funds, five municipal bond funds, five stocks, and three precious metals (gold, silver, and platinum). How many different portfolios can you create if the portfolio is to contain one of each type of investment?arrow_forwardNick is nearing retirement and is looking to purchase a mutual fund that will provide a relatively safe investment as well as regular income payments. Among mutual funds with an income objective, Nick can either buy shares in which invest in CDs, government securities, and short-term obligations issued by corporations, or he can invest in for a slightly higher current income return and the potential for capital appreciation as well. Within the category of bond funds are even more specific options. Nick decides to buy shares in a fund that invests in Treasury issues maturing in more than ten years, known as bonds. He is also collecting income from shares he already owns in a fund, a type of fund that invests in securities issued by agencies such as Fannie Mae and Freddie Mac Growth Objective Karen is a 32-year-old woman with two children who owns her own home and has a substantial retirement account. She recently received an inheritance from her uncle and is looking to invest in a…arrow_forwardIn the prospectus for the Brazos Aggressive Growth fund, the fee table indicates that the fund has a 12b-1 fee of 0.35 percent and an expense ratio of 1.55 percent that is collected once a year on December 1. Joan and Don Norwood have shares valued at $116,250 on December 1. What is the amount of the 12b-1 fee this year? What is the amount they will pay for expenses this year? Note: For all requirements, round answers to 2 decimal places.arrow_forward
- As a wealthy individual investor, you are planning to invest your $2 million in a fund of funds which invests in 2 different hedge funds, namely hedge fund A and B. The incentive fees are 20% for all funds including the fund of funds. The incentive fee is applicable when a fund earns a positive return. Let’s assume that funds A and B generate 10% and -15% gross returns, respectively. Given the information above, please fill out the below table. You can copy and paste the table to the answer section and fill it out there. You may want to show your calculations in the space below the table. Fund A Fund B Fund of Funds Start of year (millions) $1.00 $1.00 $2.00 End of year (millions) $ $ $ Gross rate of return % % % Incentive fee (millions) $ $ $ End of year, net of fee $ $ $ Net rate of return % % %arrow_forwardNot sure what i'm doing wrong, if you could solve it in excel that would be best. Thanks!arrow_forwardYou are an analyst for a large public pension fund and you have been assigned the task of evaluating two different external portfolio managers (Yellen and Zagami) who (actively) manage two funds which are considering. Your associates have assembled the following historical average return, standard deviation, and CAPM beta estimates for these two fund managers over the past five years. In addition, you have estimated that the risk premium for the market portfolio is 5.12% and the risk-free rate is currently 4.14%. What is Ms. Yellen's average "alpha" for the period. Report your answer in percentage format rounded to three decimal places. (For example.1234 should be entered as "12.3"). Fund Manager Actual Avg. Return Standard Deviation Ms. Yellen 11% Mr. Zagami 8.24% Answer: 11.07 8.75% Beta 1.18 0.9arrow_forward
- Please fast answer.arrow_forwardEssay Questions You have just received an inheritance from your aunt of $25,000 in a brokerage account. According to your aunt's will, the monies cannot be withdrawn or put into a savings account (including a CD). The funds must be invested in three different types of financial investments. Select one of the four portfolios below and identify the percentage you would invest in each. Describe the strategy you used to allocate the percentages for each. Research specific investments based on the portfolio you selected. Identify each investment you selected and explain why you made those selections. (Note – there should be at least three symbols in your essay that identify your investments). Option 1 Option 2 Option 3 Option 4 Stock Mutual Fund Bond REIT Bond EFT Mutual Fund ETF Mutual Fund Stock ETF Mutual Fundarrow_forwardBhaarrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education