A fund begins with $10M and reports the following monthly results (negative figures in parentheses) Net Inflows ($M) HPR (%) Month 1 3 2 Month 2 5 8 Month 3 0 (4) - What are the arithmetic average, geometric average, and dollar-weighted average returns?
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- The file MutualFunds contains a data set with information for 45 mutual funds that are part of the Morningstar Funds 500. The data set includes the following five variables: Fund Type: The type of fund, labeled DE (Domestic Equity), IE (International Equity), and FI (Fixed Income) Net Asset Value (): The closing price per share Five-Year Average Return (%): The average annual return for the fund over the past five years Expense Ratio (%): The percentage of assets deducted each fiscal year for fund expenses Morningstar Rank: The risk adjusted star rating for each fund; Morningstar ranks go from a low of 1 Star to a high of 5 Stars. a. Prepare a PivotTable that gives the frequency count of the data by Fund Type (rows) and the five-year average annual return (columns). Use classes of 09.99, 1019.99, 2029.99, 3039.99, 4049.99, and 5059.99 for the Five-Year Average Return (%). b. What conclusions can you draw about the fund type and the average return over the past five years?Assume that the fund is liquidated at the end of the fourth quarter, what are the arithmetic, time-weighted (geometric), and dollar-weighted average rates of return? 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Assets Under Managment at start of quarter ($ milion) 10 12.5 21.25 9 Holding-period return (%) 15% 30% -20% 25% Total assets before net inflows 11.5 16.25 17 11.25 Net inflow ($ million) 1 5 -8 6 Assets under managment at end of quarter ($ million) 12.5 21.25 9 17.25On Sept 1, 2010, a fund had $180,000. On Feb 1, 2011, the fund balance was $175,000 and a withdrawal of $15,000 was made. On July 1, 2011, the fund balance was $160,000 and a new deposit of $5,000 was made. On Aug 31, 2011, the fund balance was $180,000. The time weighted rate of return is T and the dollar weighted return is D. Find T.
- A closed-end fund starts the year with a net asset value of OMR10. By year end, NAV equals OMR10.10. At the beginning of the year, the fund was selling at a 3% premium to NAV. By the end of the year, the fund is selling at a 6% discount to NAV. The fund paid year end distributions of income and capital gains of OMR2.50. What is the rate of return to an investor in the fund during the year?A closed-end fund starts the year with a net asset value of $27. By year-end, NAV equals $28.60. At the beginning of the year, the fund is selling at a 2% premium to NAV. By the end of the year, the fund is selling at a 7% discount to NAV. The fund paid year-end distributions of income and capital gains of $3.00.A closed-end fund starts the year with a net asset value of $31. By year-end, NAV equals $33.00. At the beginning of the year, the fund is selling at a 3% premium to NAV. By the end of the year, the fund is selling at a 8% discount to NAV. The fund paid year-end distributions of income and capital gains of $3.40. Required: a. What is the rate of return to an investor in the fund during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year? (Round your answer to 2 decimal places.)
- A closed-end fund starts the year with a net asset value of $12.00. By year-end, NAV equals $12.10. At the beginning of the year, the fund was selling at a 2% premium to NAV. By the end of the year, the fund is selling at a 7% discount to NAV. The fund paid year-end distributions of income and capital gains of $1.50.a. What is the rate of return to an investor in the fund during the year?b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year?A closed-end fund starts the year with a net asset value of $12.00. By year-end, NAV equals $12.70. At the beginning of the year, the fund was selling at a 4% premium to NAV. By the end of the year, the fund is selling at a 4% discount from NAV. The fund paid year-end distributions of income and capital gains of $1.30. a. What is the rate of return to an investor in the fund during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.)An investment manager had a fund with a value of 100,000 on December 31, 2017. On June 30, 2018 that fund had dropped in value to 90,000 and a new deposit of 110,000 was received. On December 31, 2018 the account balance was 220,000. Find the time-weighted rate of return for 2018 Find the exact (to five decimal points) dollar-weighted rate of return for 2018
- At the beginning of the year, an investment fund was established with an initial deposit of 500 . A deposit 1000 is made at the end of each month for the first six months. Starting from theend of month 7, a withdrawal of 300 is made at the end of each month for 5 months for a total of 5 withdrawals. The amount in the fund at the end of the year is 12,500. Calculate the dollar-weighted(money-weighted) yield rate earned by the fund during the year.Corporate 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?QuantAlpha fund charges a 12b-1 fee of 1% and maintains an expense ratio of 0.75%. Assume the rate of return on fund portfolio (before any taxes) is 6% per year. How much will an investment of $1000 in the fund grow to after 10 years?
