Investor has had the following returns in the Magic Fund for the past 4 years: 15%, 25%, -30%, 18%. Find the total return over the four years. Method of calculation should be Find the annual geometric return. Method of calculation should be clear. a) clear. b)
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- 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.An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $260 Year 1 286 Year 2 328 Year 3 315 Year 4 310 Year 5 305 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.An investor has an investment that has produced the following returns: Year 1: 10%, Year 2: 5%, Year 3: -7%, Year 4: -3%, Year 5: 12%. Calculate the arithmetic mean return on this investment. O 6.75 O 17.00 3.40 8.50
- The following information is provided regarding the performance of fund namely Birla Advantage, Sundaram Growth and Sun F&C Value for a period of six months ending August 2022. The Risk free rate of interest is assumed to be 9 percent. Rank them with the help of Treynor Index and discuss. Birla Sundaram Sun Rp 25.38 25.11 25.01 Sigma p 4 9.01 3.55 Beta 0.23 0.56 0.59Two investments generated the following annual returns: % -Select- a. What is the average annual return on each investment? Round your answers to one decimal place. The average annual rate of return on X: The average annual rate of return on Y: b. What is the standard deviation of the return on investments X and Y? Round your answers to two decimal places. Standard deviation of X: % Standard deviation of Y: c. Based on the standard deviation, which investment was riskier? was riskier. 20X0 20X1 20X2 20X3 20X4 Investment X 11% 22 30 16 9 Investment Y 22% 24 10 13 127. Impacts of Costs on Returns. A mutual fund has a 1.69% expense ratio and begins with a $124.655 NAV. It experiences the annual returns shown below. What are the end-of-year NAVs after fees for each year? What are the after-fee returns each year?
- An investor recorded the following annual returns of one of his investments. You are required to calculate and comment on; 1. Mean return. 2. Variance and standard deviation of the return. 3. Geometric return. Year 2016 2017 2018 2019 2020 Return 15% 17% 19% 10% -5%Consider the following returns for two investments, A and B. over the past four years: Investment 1: Investment 21 a-1. Calculate the mean for each investment. (Round your answers to 2 decimal places.) Investment 1 Investment 2 Investment 1 O Investment 2 6% a-2. Which investment provides the higher return? Investment 1 Investment 2 Mean b-1. Calculate the standard deviation for each investment. (Round your answers to 2 decimal places.) Investment 1 Investment 2 96 % Investment 1 Investment 2 Standard Deviation b-2. Which investment provides less risk? 516 5.7.5 c-1. Given a risk-free rate of 1.2%, calculate the Sharpe ratio for each investment. (Round your answers to 2 decimal places. Sharpe RatioIn 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 2 +24.6 +40.6 +11.6 +18.0 +0.4 +31.6 +10.9 -0.4 -1.3 -0.6 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?
- 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. 2 3 4 Fund -1.5 +24.1 +42.0 +11.0 +0.5 Market index -0.6 +17.0 +31.5 +10.0 -0.4 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? Mesozoic Fund Market Portfolio Return Return Average return а. Standard deviation Did Ms. Sauros do better or worse than the b. market index on these measures?Suppose that at the beginning of Year 1 you invested $10,000 in the Stivers mutual fund and $5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided in the table below. Year Stivers Trippi Mean annual return (to 3 decimals) Which mutual fund performed better? $15,000 $16,100 $17,000 $18,000 Compute the mean annual return for the Stivers mutual fund and for the Trippi mutual fund. Do not round intermediate calculations. Stivers Trippi The Trippi mutual fund V ✔ 7.847 % 9.977 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 % $10,500 $11,900 $12,900 $13,900 Hint(s) $5,700 $6,300 $7,000 $7,600 $8,600 $9,200 $9,900 $10,600 CheckCorporate Fund started the year with a net asset value of $12.50. By year-end, its NAV equaled $12.10. The fund paid year-end distributions of income and capital gains of $1.50. What was the (pretax) rate of return to an investor in the fund?