A no-load (commission-free) mutual fund has grown at a rate of 11% compounded annually since its beginning. If it is anticipated that it will continue to grow at that rate, how much must be invested every year so that $15,000 will be accumulated at the end of five years? 4 Click the ieon te vieu the interegt footere. nding uhen ir 110/
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- A no-load (commission-free) mutual fund has grown at a rate of 10% compounded annually since its beginning. If it is anticipated that it will continue to grow at this rate, how much must be invested every year so that $120,000 will be accumulated at the end of six years?A no-load (commission-free) mutual fund hasgrown at a rate of 12% compounded annually sinceits beginning. If it is anticipated that it will continueto grow at that rate, how much must be investedevery year so that $26,000 will be accumulated atthe end of seven years?You deposit the following at the end of each year into a growth mutualfund that earns 11 percent per year:Year Deposit ($)1 4,0002 3,5003 2,5004 2,0005 1,700 ======== $13,700a. How much should the fund be worth at the end of 5 years?b. How much interest have you earned in total?
- A pension fund faces a promised outflow of $5 million in 6 years. Its managers plan to dedicate a portfolio comprised of the following two bonds to meet this obligation. d. Suppose that it is now 3 years later and that there has been a parallel increase in interest rates of 2%. Explain how immunization at least partially protects this portfolio. That is, what are the sources of losses and gains associated with each of the bonds caused by the increase in interest rates? How do they offset each other?Suppose the Omega Graphics Company wishes to set aside an equal, annual, end-of-year amount in a “sinking fund account” earning 8.5 percent per annum over the next six years. The firm wants to have $5 million in the account at the end of six years to retire (pay off ) $5 million in outstanding bonds. How much must be deposited in the account at the end of each year? Hint: Use the math formula.£12,000 is invested at time t=0. Calculate the value of the fund after 14 years if the nominal rate of interest is 3.7% per annum convertible quarterly for the first 5 years, and thereafter the force of interest is 2.30% per half-year for the remaining years. No tables, only formulas, please
- Maryse has invested $1000 into mutual fund at a 5% annual rate of return, compounded daily. What are the nominal and effective interest rates in this case?Discuss how these two interest rate affect Maryse's investment?Bendix Mutual Fund Grew At a rate of 6.58% APR compounded daily. Over the same period ACME Mutual Fund grew at a rate of 6.65% APR compounded quarterly. Which mutual fund offers a better interest rate? Find the effective rate/APY for each 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 that a pension fund manager anticipates the purchase of a 20-year 8 percent coupon T-bond at the end of two years. Interest rates are assumed to change only once every year at year end. At that time, it is equally probable that interest rates will increase or decrease 1 percent. When purchased in two years, the T-bond will pay interest semiannually. Currently, it is selling at par a. What is the pension fund manager’s interest rate risk exposure? b. How can the pension fund manager use options to hedge that interest rate risk exposure?The Investments Fund sells Class A shares with a front-end load of 5% and Class B shares with 12b-1 fees of 0.5% annually as well as back-end load fees that start at 5% and fall by 1% (percentage point) for each full year the investor holds the portfolio (until the fifth year). Assume that you have $1,000 to invest and the portfolio rate of return net of operating expenses is 13% annually.a. If you invest in each fund and sell after 4 years, are Class A or Class B shares the better choice for you? Class A Class B b. If you invest in each fund and sell after 12 years, are Class A or Class B shares the better choice for you? Class A Class BYou invest money in a fund that paid 9% simple interest paid annually. If it is worth $21,200.00 in 11 months, a) what is the present value? $ b) What is the rate of return? (answer as a percent 2 decimal places)