2. A fund is to be created which pays out a scholarship of £9,000 every year in perpetuity. The Assuming an interest rate of 3%, how much should be paid into the fund? £ 数字 Enter an answer correct to 2 decimal places.
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- How much would you invest today in order to receive $30,000 in each of the following (for further Instructions on present value In Excel, see Appendix C): A. 10 years at 9% B. 8 years at 12% C. 14 years at 15% D. 19 years at 18%Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?How much must be invested now to receive $50,000 for 8 years if the first $50,000 is received in one year and the rate is 10%?
- You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.2: An investment fund is set up to make payments of $1,250 at the end of every month for 15 years. Interest on the fund is 8.50% compounded monthly. (a) How much money must be deposited into the fund today to allow for this series of payments? (b) How much will be paid out of the fund? (c) How much interest will be earned by the fund?You deposit 20,000 today into a fund paying ?(1)=8%. From this fund, you receive 10 payments of R, with the payments made at the end of 2 years, 4 years, 6 years, …, 20 years. What is R?
- a) In order to create an endowment, which pays Rs 500,000 per year, forever, how much money must be set aside today in the rate of interest is 10%? If the first payment of Rs 500,000 will be received after 3 years, what will be present value of such cash payment? b) Which deal is better, 8.4% compounded annually or 8.6% compounded quarterly or 8.7% compounded monthly? c) What is real interest rate if Rs. 500,000 is invest at 10% per annum for 5 years and inflation rate is 7%?What amount of money invested today at an interest of 14.22% compounded quarterly can provide the following scholarships: P30,000 at the end of each year for 6 years; P40,000 for the next 6 years, and P50,000 thereafter? Draw the cashflow diagram.MANUAL SOLVING PLEASEwhat amount of money invested today at 10% interest can provide the following scholarships: 34,000 pesos at the end of each year for 5 years; 44000 pesos for the next 4 years and 59000 pesos thereafter?
- You plan to set up an endowment at your alma mater that will fund $180,000 of scholarships each year indefinitely. If the principal (the amount you donate) can be invested at 6.4 percent, compounded annually, how much do you need to donate to the university today, so that the first scholarships can be awarded beginning one year from now? (Round answer to 2 decimal places, e.g. 52.75.)Assume that Karen Williams desires to accumulate $1,000,000 in 15 years using her money market fund balance of $209,004. At what interest rate must Karen’s investment compound annually? (Round answer to 0 decimal places, e.g. 5%.) Interest rate %A trust notifies you that you are entitled a grant that would give you annual payments of $6,200 per year in perpetuity. The first payment will be made to you three years later (at the end of year 3). The annual interest rate is 10% (APR). What is the present value of the grant? A. 56,363.64 B. 46,581.52 C. 51,239.67 D. 62,000.00
