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- Now imagine that you bought a mutual fund that had a beginning NAV of $10 per share. It paid dividends of $0.50 and distributed capital gains of $0.75. After one year, the ending NAV is $9.50.What is your total return?Please include the excel formula Suppose you bought a bond with an annual coupon of 6 percent one year ago for $1,010. The bond sells for $1,025 today.a. Assuming a $1,000 face value, what was your total dollar return on this investment over the past year?b. What was your total nominal rate of return on this investment over the past year?c. If the inflation rate last year was 3 percent, what was your total real rate of return on this investment? Input area: Coupon rate 6% Initial price $1,010 Ending price $1,025 Par value $1,000 Inflation rate 3% (Use cells A6 to B10 from the given information to complete this question.) Output area: Coupon paid Dollar return Nominal return Real returnConsider a mutual fund with $ 400 million in assets at the start of the year , and 12 million shares outstanding . If the gross return on assets is 20 % and the total expense ratio is 4 % of the year end value , what is the rate of return on the fund ?
- An investor with a leverage ratio of 5 who can invest in a fund with a yield of 10% per year and can borrow at 5% per year has a return on assets of___and a return on equity of ____ 6%:30% 5%:25% 10%:50% 4%:20% 35%:5%A fund manager has a well-diversified portfolio that mirrors the performance of the S&P 500and is worth $240 million. The value of the S&P 500 is 4,800, and the portfolio manager wouldlike to obtain insurance against a reduction of more than 3% in the value of the portfolio over thenext four months. The risk-free interest rate is 6% per annum. The dividend yield on both theportfolio and the S&P 500 is 4%, and the volatility of the index is 35% per annum. What amount(in dollars) of the portfolio should be sold and kept in risk-free securities for portfolio insurance?Suppose you bought a bond with an annual coupon rate of 4 percent one year ago for $800. The bond sells for $850 today. a. Assuming a $1,000 face value, what was your total dollar return on this investment over the past year? b. What was your total nominal rate of return on this investment over the past year? c. If the inflation rate last year was 2 percent, what was your total real rate of return on this investment?
- 1. City Street Fund has a portfolio of $400 million and liabilities of $12 million. If there are 50 million shares outstanding, what is net asset value? (Round your answer to 2 decimal places.) 2. During a period of severe inflation, a bond offered a nominal HPR of 83% per year. The inflation rate was 74% per year. a. What was the real HPR on the bond over the year? (Round your answer to 2 decimal places.) b. Find the approximation rreal ≈ rnom – i.Suppose you bought a bond with an annual coupon of 6 percent one year ago for $1,170. The bond sells for $1,235 today. Assuming a $1,000 face value, what was your total dollar return on this investment over the past year? What was your total nominal rate of return on this investment over the past year?City Street Fund has a portfolio of $420 million and liabilities of $30 million. Required:a. If there are 30 million shares outstanding, what is the net asset value? b-1. If a large investor redeems 3 million shares, what happens to the portfolio value? (Enter your answer in dollars not in millions.)
- Please explain using Excel and show/explain formulas. Percival Hygiene has $10 million invested in long-term corporate bonds. This bond portfolio’s expected annual rate of return is 8%, and the annual standard deviation is 10%. Amanda Reckonwith, Percival’s financial adviser, recommends that Percival consider investing in an index fund that closely tracks the Standard & Poor’s 500 index. The index has an expected return of 13%, and its standard deviation is 14%. a. Suppose Percival puts all his money in a combination of the index fund and Treasury bills. Can he thereby improve his expected rate of return without changing the risk of his portfolio? The Treasury bill yield is 3%. multiple choice Yes No b. Could Percival do even better by investing equal amounts in the corporate bond portfolio and the index fund? The correlation between the bond portfolio and the index fund is +0.3. multiple choice Yes NoA hedge fund charges a management fee of 3 percent and an incentive fee of 25 percent for all returns over a benchmark return of 4%. The risk-free rate is 2% and the standard deviation of the funds continuously compounded returns has been 23%. The current net asset value is $55 per share. What is the value of all fees expressed as a percent at the start of the investment period?A mutual fund with K100 million in assets at the start of the year and with 10 million shares outstanding invests in a portfolio of stocks that provides no income but increases in value by 10 %. What is the rate of return in the fund? If a fund has an initial NAV of K20 at the start of the month makes income distributions K0.15 and capital gain distributions of K0. 05 and ends the month with NAV of K20.10. Calculate the monthly rate of return. An equity fund has a front end load of 4 % and special fees of 0.5% annually as well as back-end fees that start at 5 % and fall by 1 % for each full year the investor holds the portfolio until the fifth year. Assuming the rate of return on the fund net of operating expenses is 10 % annually, what will be the value of a K10 000 investment in the equity fund shares if the shares are sold after 1 year, 4 years and 10 years?