Beginning next year, a foundation will supportan annual event on campus with the earnings of a$420,000 gift it received this year. It is felt that 8.4%interest will be realized for the first 12 years, but thatplans should be made to anticipate an interest rate of6% after that time. What amount should be added tothe foundation now to fund the event at the $45,000level into infinity?

Beginning next year, a foundation will supportan annual event on campus with the earnings of a$420,000 gift it received this year. It is felt that 8.4%interest will be realized for the first 12 years, but thatplans should be made to anticipate an interest rate of6% after that time. What amount should be added tothe foundation now to fund the event at the $45,000level into infinity?

Intermediate Accounting: Reporting And Analysis

3rd Edition

ISBN:9781337788281

Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach

Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach

ChapterM: Time Value Of Money Module

Section: Chapter Questions

Problem 10RE: If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32...

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?
If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?
Beginning next year, a foundation will support an annual seminar on campusby using the interest earnings on a $100,000 gift it received this year. It is determined that 6% interest will be realized for the first 10 years, but that plans should be made to anticipate an interest rate of only 4% after that time. What amount should be added to the foundation now in order to fund the seminar at a level of $10,000 per year into infinity?
A foundation supports an annual campus seminar by using the earnings of a $50,000 gift. It is felt that 10% interest will be realized for 10 years but that plans should be made to anticipate an interest rate of 6% after that time. What uniform annual payment may be established from the beginning, to fund the seminar at the same level into infinity?
A man wishes to donate immediately to a University sufficient money to provide for the erection and maintenance, for the next 50 years of a building which will cost $ 500,000 to erect and will require $ 1000 at the end of each month to maintain. How much should he donate if the University is able to invest its funds at 8% compounded semi-annually?
A foundation was endowed with $15,000,000 in July 2014. In July 2018, $5,000,000 was expended for facilities, and it was decided to provide $250,000 at the end of each year forever to cover operating expenses. The first operating expense is in July 2019, and the first replacement expense in July 2023. If all money earns interest at 5% after the time of endowment, what amount would be available for the capital replacements at the end of every fifth year forever?
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?
Abc plans to construct an adiitional building at the end of 10 years at an estimated cost of P5,000,000. To accumulate this amount, it will deposit equal year-end amounts in a fund earning 13%. However, at the end of the fifth year, it decided to have a larger building estimated to cost P8,000,000. What is should be the annual deposit for the last five years?
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?
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.
A foundation announces that it will be offering one CUHK (SZ) scholarship every year for an indefinite number of years. The first scholarship is to be offered exactly one year from now. When the scholarship is offered, the student will receive ￥100,000 annually for a period of four years, beginning from the date the scholarship is offered. This student is then expected to repay the principal amount received (￥400,000) in 10 equal annual installments, interest-free, starting two years after the last payment of the scholarship. This implies that the foundation is really giving an interest-free loan under the guise of a scholarship. The current interest is 6% and is expected to remain unchanged. (1) What is the PV of the first scholarship? (2) The foundation invests a lump sum to fund all future scholarships. Determine the size of the investment today
An alumnus of West Virginia University wishes to start an endowment that will provide scholarship money of $40,000 per year beginning in year 5 and continuing indefinitely. The donor plans to give money now and for each of the next 2 years. If the size of each donation is exactly the same, the amount that must be donated each year at i = 8% per year is closest to: (a) $190,820 (b) $122,280 (c) $127,460 (d) $132,040