A generous donor has offered to fund a scholarship at UTP worth RM120,000 per year beginning in year 3 and continuing indefinitely. Determine how much the donor must provide right now if the UTP's donation earns 8% per year.
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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?A fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant P50,000 for each year for the first 5 years at 8% compounded monthly, P80,000 for each year for the next 5 years at 8% compounded quarterly, and P100,000 each year thereafter at 8% compounded semi-annually interest,. The scholarship will start one year after the fund is established. What is the amount of the donation?A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?
- A charity will be donated by a wealthy man to provide annual scholarships to deserving students. The charity will grant $120,000 each year for the first 5 years, $30,000 per quarter for the next 5 years and $10,000 each month thereafter . The scholarship will start one year after the fund is established. What is the amount of the donation if i = 12% compounded annually?A fund is to be donatedby a wealthy man to provide annual scholarships to deserving students. The fundwill grant P120,000 each year for the first 5 years, P 30,000 per quarter forthe next 5 years and P10,000 each monththereafter . The scholarship will start one year after the fund is established.What is the amount of the donation if i = 12% compounded annually?A donor established a new scholarship that will pay $5,000 every 6 months to a deserving Kelley student. The scholarship will be awarded for the first time in November of 2021 (12 months from today). The donor decides that the scholarship should be provided in perpetuity. The IU Foundation manages investments like this for the Business School. The Foundation anticipates earning an APR of 8% per year on the invested funds, compounded monthly. What is the amount of the donation that must be given to the IU Foundation today to fully endow this Kelley scholarship?
- An endowment fund is providing an annual scholarship of P50,000 for the first five years, P60,000 for the next five years, and P90,000 thereafter. The fund will be established today and will award the first scholarship after a year. The fund earns 4.5 % annual interest. Find the present worth of this cost.An endowment fund is to provide an annual scholarship of P4,000 for first 5 yrs, P6,00 for the next 5 yrs, and P9,000 thereafter the fund will be established 1 yr before the first scholarship is awarded. If the fund earns 12% interest, what sum must be deposited?A donor established a scholarship that will pay $15,000 per year to a Kelley student. The scholarship will be awarded for the first time in September of 2023 (i.e., the first payment occurs three years from now). The donor decides that the scholarship should be provided in perpetuity. The IU Foundation manages investments like this for the Business School. The Foundation anticipates earning an APR of 5.6% per year on the invested funds. What is the amount of the donation that must be given to the IU Foundation today to endow this Kelley scholarship?
- You donate $400,000 to provide annual scholarships in perpetuity. The money is deposited into an investment which pays 9% compounded monthly. What size annual scholarship can be awarded if the first scholarship will be awarded in one year?The Pithybottoms want to make a donation to set up a scholarship trust fund at Hinose College. The fund is to support payments of $5,000 at the end of every three months in perpetuity. If the fund earns 7.5% compounded quarterly, how much must they donate?A wealthy graduate of a local university wants to establish a scholarship to cover the full cost of one student each year in perpetuity at her university. To adequately prepare for the administration of the scholarship, the university will begin awarding it starting in three years. The estimated full cost of one student this year is $38,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 5 percent, how much must the donor contribute today to fully fund the scholarship?
