A fund is to be donated by a wealthy man to provide annual scholarships todeserving students. The fund will grant P120,000 each year for the first 5 years,P 30,000 per quarter for the next 5 years and P10,000 each month thereafter.The scholarship will start one year after the fund is established. What is theamount of the donation if i = 12% compounded annually?

Fund grant for each year = P120,000 for 5 years Grant each quarter = P30,000 for next 5 years Grant…

Answered: A fund is to be donated by a wealthy…

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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Similar questions

How much can be paid in scholarship at the beginning of each month if $231,500 is deposited in a trust fund if interest is 5.6% compounded monthly?
A perpetuity is defined as an infinite series of equal cash flows occurring at regular intervals indefinitely. (Scholarships are an example of a perpetuity) If you want to set up a scholarship fund to support students attending domestic conferences, at an interest rate of 8%, what's the endowment value that would produce $3,000 a year in your scholarship?
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? Question 9 Answer a. 127913.37 b. 255507.69 c. 260410.57 d. 258749.57 Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual…
Mike wants to donate S5, 000, 000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 5.37% p.a. compounded half-yearly (j2 = 5.37% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places) ? Question 9 Answer a. 313037.32 b 306010.79 с. 153267.24 d. 310649.70
trust fund for a childs education is being set up by a single payment so that at the end of 15 years there will be shs 24,000,000. If the fund earns interest at the rate of 7% compounded semi-annually how much money should be paid into the fund initially?
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?
. James decided to fund a school in Orange County in perpetuity. The first payment will be made three years from today (at the end of year three) and will be $5,320. Each year after that, the school will receive payment from James annually. The payment will increase at a rate of 3% per year after the first payment. If the annual interest rate is 9%, what is the present value of this endowment?
.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.)

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