You want to endowment discount rate is 10%, what amount must you donate to endow the scholarship? The amount you must donate is $ one year from now. If the school's (Round to the nearest cent.)
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- 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?You want to endow a scholarship that will pay $11,000-per year forever, starting one year from now. If the school's endowment discount rate is 9%, what amount must you donate to endow the scholarship? The amount you must donate is $_______. (Round to the nearest cent.)You want to endow a scholarship that will pay $ 8 comma 000$8,000 per year forever, starting one year from now. If the school's endowment discount rate is 4 %4%, what amount must you donate to endow the scholarship? How would your answer change if you endow it now, but it makes the first award to a student 10 years from today?
- You want to endow a scholarship that will pay $11,000 per year forever, starting one year from now. If the school’s endowment discount rate is 6%, what amount must you donate to endow the scholarship?You want to endow a scholarship that will pay $12,000 per year forever, starting one year from now. If the school's endowment discount rate is 5%, what amount must you donate to endow the scholarship?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.)
- You wish to establish a permanent scholarship at Bond University providing a worthy student with $1000 annually. If invested monies generate an 8% return, how much is needed in the scholarship fund?You will endow a DePaul scholarship with a grant gift stream that lasts forever. The first grant is to be made 10 years from now in the amount of $1,303.14, but it must grow by 3% per year forever. Assume a discount rate of 9% and annual compounding. How much must you set aside today to fund the gift?An Allied Health Scholarship fund wants to insure that it can provide $50,000 annually in scholarships forever How much money would have to be reinvested each year at 8% interest to generate the funds for the scholarships?
- Your rich aunt has promised to give you $2,000 per year at the end of each of the next four years to help you pay for college. Using a discount rate of 12%, the present value of the gift can be stated as a. PV = $2,000 (PV factor,i= 4%,n= 12). b. PV = $2,000 (Annuity PV factor,i= 12%,n= 4). c. PV = $2,000 (Annuity FV factor,i= 12%,n= 4). d. PV = $2,000 × 12% × 4.10. Mr. Smart wants to set up an annual scholarship by donating $50 000 to the scholarship fund of his university. If the first payment is to be made in 5 years and interest is 4% compounded annually, what is the amount of the annual scholarship?Your company wants to create a scholarship program that will cost $17,000 dollars a year. They will begin annually starting one year from now. 1) What amount must be invested today at 8.5% compounded annually to fund the scholarship program in perpetuity?
