). A wealthy businessman wants to start a permanent fund for supporting research directed toward sustainability. The donor plans to give equal amounts of money for each of the next 5 years, plus one now (i.e., six donations) so that RM100,000 per year can be withdrawn each year forever, beginning in year 6. If the fund earns interest at a rate of 8% per year, determine how much money must be donated each time.

). A wealthy businessman wants to start a permanent fund for supporting research directed toward sustainability. The donor plans to give equal amounts of money for each of the next 5 years, plus one now (i.e., six donations) so that RM100,000 per year can be withdrawn each year forever, beginning in year 6. If the fund earns interest at a rate of 8% per year, determine how much money must be donated each time.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 40P

See similar textbooks

Similar questions

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?
Elaine is the CEO of Vandelay Industries and wants to create a sinking fund to make a purchase of new technology in three years. She anticipates this capital expense will be $20,000. If the sinking fund earns at an annual rate of 5% compunded quarterly, determine the quarterly installment that should be deposited into the fund.
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 man invested P50,000 now for the college education of his 2-year old son. If the fund earns 14% effective, how much will the son get each year starting from his 17th to the 21st birthday? show step by step.
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?
If the university’s College of Engineering can earn 5% on its investments, how much should be in its savings account to fund one $10,000 scholarship each year for 4 years?
A man invested P60,000 now for the college education of his 2-year old son. If the fund earns 14% effective, how much will the son get each year starting from his 17th to the 21st birthday?With cashflow diagram please
The New York Soccer Association would like to accumulate R10,000 by the end of 4 years from now to finance a big soccer weekend for its members. The Association currently has R2,500 and wishes to raise the balance by arranging annual fund-raising events. How much money should they raise at each annual fund-raising event assuming 8 percent rate of interest?
Mr. Crabapple wants to donate money now for an account that will allow a favored charity to make $17,000 withdrawals at the end of each of years 19 to 44. How much should he contribute today if investment managers Dogwood Associates expect to earn returns averaging 4.3% per year on the charity's foundation account? (This is a 26-year deferred annuity, with $17,000 to be paid out at the end of each of years 19 to 44.) A. $128,584.54 B. $115,644.17 C $263,040.12 D. $123,283.36 E. $156,230.80
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 $32,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 10 percent, how much must the donor contribute today to fully fund the scholarship? Please do not give solution and formulae in image format.. thanku
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?