You want to endow a scholarship that will pay $6,000 per year forever, starting one year from now. If the school'sendowment discount rate is 7%, what amount must you donate to endow the scholarship How would your answerchange if you endow it now, but it makes the first award to a student 10 years from today?In the first case, the amount you must donate today is $. (Round to the nearest cent.)

Annual payment (C) = $6000 Discount rate (r) = 0.07 or 7% in first case Amount need to donate today…

Answered: You want to endow a scholarship that…

Financial Accounting Intro Concepts Meth/Uses

14th Edition

ISBN:9781285595047

Author:Weil

Publisher:Weil

ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications

Section: Chapter Questions

Problem 23E

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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 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?
You have had plenty of success in your career so you decide to make a donation to Nichols that will result in an annual scholarship of $1,000. This scholarship will continue forever. If the discount rate is 4.8% compounded annually, what amount will you have to donate?
To benefit the ISU College of Business, Bill Vickers would like to establish a “perpetual” scholarship fund that will pay for MBA tuition and fees worth $210,000 per year. The fund’s first payment to ISU will be issued exactly 13 years from today. If the scholarship fund earns an annual return of 4.1 percent, how much must Mr. Vickers deposit today to establish it?
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?
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
Allain Dupre wants to set up a scholarship fund for his school. The annual scholarship payment is to be $3,600 with the first such payment due four years after his deposit into the fund. If the fund pays 4.4%compounded annually , how much must Alain deposit?
As a future graduate of the University of Minnesota, someday you would like to endow a scholarship (meaning give the university money in your name) to pay for tuition expenses for future UMN students. Assume you just graduated (congratulations!). You plan to work for fifteen years after graduation before endowing this scholarship (at the end of the fifteenth year AFTER graduation). Annual tuition at UMN is $10,000 today, and is expected to grow at the long-term average rate of inflation of 3% per year forever. Savings are expected to earn a return of 7% per year forever. a) The first tuition payment is due one year after the scholarship is endowed. How much will the tuition be when your scholarship makes the first payment? b) You would like the scholarship to pay all tuition for one student per year for the twenty years following the creation of the endowment, how much money do you need to endow the scholarship? c)If you would like the scholarship to pay for tuition for one student…

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