A perpetuity is defined as an infinite series of equal cash flows occurring at regular intervalsindefinitely. (Scholarships are an example of a perpetuity) If you want to set up a scholarship fund tosupport students attending domestic conferences, at an interest rate of 8%, what's the endowment valuethat would produce $3,000 a year in your scholarship?

Present value in case of perpetuity The present value of the terminal value is simply found by…

Answered: A perpetuity is defined as an infinite…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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?
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? Note: Negative value should be indicated by a parenthesis. > Answer is complete but not entirely correct. $(240,421) X Contribution
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 want to create an endowment income of $35,000 per year for Oxtordshire Charity, but the Tirst payment will not be made until the 4th year's time. a. If you can earn a return of 8% APR on your investment, and if the payment is made on a monthly basis, calculate how much to invest now? $5,133,086.81 B. $4,133,086.81 $5,233,086.81 $4,233,086.81 $5,250,000.81
WITH SOLUTION PLS Suppose you make an annual contribution of P8,698 each year to a college fund for a niece. He is 6 years now, and you will start next year and make the last deposit when he is 18. The fund is a money market account earning 5.29% per year. What will it be worth immediately after the last deposit?
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?
The Jeffersons have asked you what would be needed to fund the children’s future college costs. Assume each child will begin college at age 18 and graduate in four years. Assume current costs are $24,000 per year and are expected to increase by 5% per year and investments earn 7%. A. Assuming no existing assets are dedicated to college, what is the annual savings amount required to fund the children’s education? The Jeffersons’ goal is to have an amount at the beginning of the freshman year for each child that is sufficient to fund a serial payment covering the $24,000 of current costs of college adjusted for inflation for each of the four years of college. Please include your calculator keystroke inputs [PV, I/YR, N, FV, and PMT (if needed)] for each step of this calculation. Also include whether any PMTs are in the end mode or the begin mode. B. What would you say to the Jeffersons about their education funding situation? Write a script of a single paragraph as if you…
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?
You want to create a college fund for a child who is now 3 years old. The fund should grow to $60,000 in 15 years. If an investment available to you will yield 6 percent per year, how much must you invest in a lump sum now to realize the $60,000 when needed? Round to the nearest cent. DO NOT INCLUDE COMMAS OR $.
.You want to start a scholarship fund at your alma mater with giving one $10,000 scholarship annually beginning one year from now. And you have at most $150,000 to start the fund. You also want the scholarship to be given out indefinitely. Assuming an annual interest rate of 8% (compounded continuously , do you have enough money for the scholarship fund? 15%4 (Hint: 1. Derive the formula of the present value of a perpetuity .2. Find the present value.)
A borrower bought a house for $300,000; he can obtain an 80% loan with a 20-year fully amortizing, 7% interest rate and monthly payment. Alternatively, he could get a 30-year fully amortizing 90% loan at 9% What is the incremental cost of borrowing the additional fund?
2. An endowed scholarship is one funded by a single deposit in a permanent scholarship account by a successful alum. The endowment deposit amount remains untouched and unchanged in the scholarship account. The interest accumulated each year is taken out and paid to a deserving student at the end of each year in a scholarship award. If an endowment earns 3.25% annual interest compounded monthly, a. What is the effective interest rate? b. What would the annual scholarship award be if the amount of the endowment was $300,000?

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