Investor has had the following returns in the Magic Fund for the past 4 years: 15%, 25%, -30%, 18%. c) State whether the annual geometric return (assume positive) should be higher, lower, or the same as the annual arithmetic return. Neither calculation nor explanation is necessary. d) State which measure, annual arithmetic return or annual geometric return, better represents how an investment performed over time. Neither calculation nor explanation is necessary.

Investor has had the following returns in the Magic Fund for the past 4 years: 15%, 25%, -30%, 18%. c) State whether the annual geometric return (assume positive) should be higher, lower, or the same as the annual arithmetic return. Neither calculation nor explanation is necessary. d) State which measure, annual arithmetic return or annual geometric return, better represents how an investment performed over time. Neither calculation nor explanation is necessary.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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An investor has $100,000 available for 1-year investment. The investor is weighing two options: a money market fund that gives a fixed annual return of 12% and an investment plan with an annual rate of return that can be regarded as a random variable with values that depend on prevailing economic conditions. Based on the second plan’s past history under a variety of economic conditions, a very reliable analyst has subjectively determined the following probabilities associated with several possible rates of return: Rate of Return Probability 0.3 0.20 0.25 0.20 0.20 0.30 0.15 0.10 0.10 0.10 0.05 0.10 a) If you chose option 2, what is the probability that the rate of return will be less than that of the first option? Show work.
4. ( Fund A earns interest at a simple rate of i% a year. $P is invested in fund A. (a) What is the accumulated value in fund A at time t years. (b) Calculate the effective rate of interest in year 1, year 2 and year 3. Solution:
Corporate Fund started the year with a net asset value of $17.80. By year - end, its NAV equaled $16.30. The fund paid year - end distributions of income and capital gains of $2.20. What was the (pretax) rate of return to an investor in the fund?
This question assumes the standard mean-variance utility function. A pension scheme offers investors two possible funds to invest in: a cash fund and a balanced fund. The cash fund offers a guaranteed return of 2%. The balanced fund offers an expected return of 3.20% with volatility 15.70%. What is the lowest level of risk-aversion that would cause an investor to choose the cash fund?
You are evaluating five different investments, all of which involve an upfront outlay of cash. Each investment will provide a single cash payment back to you in the future. Details of each investment appears here: Calculate the IRR of each investment. State your answer to the nearest basis point (i.e., the nearest 1/100th of 1%, such as 3.76%). The yield for investment A is The yield for investment B is The yield for investment C is The yield for investment D is The yield for investment E is %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) C Data table Investment A B с D E Initial Investment $1,600 $10,000 $600 $3,400 $5,200 Future Value Print $3,120 $15,775 $2,923 $4,526 $8,789 End of Year 10 11 16 Done 3 (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) 12 D X
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Benchmark Return 19% 20% 22% 23% 22% 22% 18% 16% 13% 12% Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Required A Fund Return Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen's alpha for the fund? 22% 23% 25% 28% 28% 29% 20% 18% 15% 13% Complete this question by entering your answers in the tabs below. Fund Benchmark Required B Risk-free rate 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% Required C Sharpe Ratio What is the Sharpe ratio for the fund and the benchmark? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Required D Required E
In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. 1 2 3 4 5 Fund −1.2 +24.5 +40.5 +11.5 +0.3 Market index −1.0 +17.0 +31.5 +10.8 −0.8 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures?
The average return, standard deviation, and beta for Fund A is given below along with data for the S&P 500 Index. Fund Average Return Standard Deviation Beta A 14% 28.5% 1.7 S&P 500 17.6% 19.4% 1 Risk-free 4.8% Calculate the Treynor measure of performance for Fund A. Convert percentages to decimal places before calculating your answer. ENTER your answer using FOUR DECIMAL places. Example: 0.1234
Don't use Excel and chatgpt
In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index a. 1 -1.2 -0.9 b. 2 +24.8 +16.0 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures? Average return Standard deviation Did Ms. Sauros do better or worse than the market index on these measures? 3 +40.7 +31.7 Mesozoic Fund Return Better 4 +11.1 +10.9 15.06 16.04 Market Portfolio Return 5 +0.3 -0.7 10.70 11.76
Suppose that we make contributions to a fund of $125 today and $750 in twoyears for a return of $1000 in one year. First write the Net Present Value as a function of the discount factor ν. Secondly, use the NPV to calculate the yield rate of this investment (select the larger value for i. Finally, explain whether or not this is a good investment for us. Please show all work
You invested $90,000 in a mutual fund at the beginning of the year when the NAV was $54.3. At the end of the year, the fund paid $.40 in short-term distributions and $.57 in long-term distributions. If the NAV of the fund at the end of the year was $63.94, what was your return for the year? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

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