Assume UMASS Boston just received 10 million dollars from a major donor and the school's fund can earn a 4.5% interest rate(compounded yearly). If the school uses the interest to payout yearly scholarships, how much can the school payout in yearlyscholarships due to this donation? (Please use at least 5 decimal places and do not use $ symbol in the answer)

Compound interest is a calculation where interest is added to the principal amount every year hence…

Answered: Assume UMASS Boston just received 10…

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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Q7. On September 1, 2014, a university received a grant of $100,000 from Tajinder. The money is invested at 8% compounded quarterly. The grant is to be used to pay out semi-annual scholarships for 20 years. What is the size of each scholarship if the first one is awarded on September 1, 2016?
Could you show me formulas and solutions, thank you
The University is given a gift of $500000 for the construction of a School of Management building. The University invests the gift into an account for future use. The University receives 8.00% on the money for 7 years then the rate drops to 6.40%. If the building is constructed 23 years after the gift was received, how much is in the fund at that time? S Do not use dollar signs or commas in your answer. Include two decimals. in your answer.
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 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.)
THIS QUESTION HAS TWO PARTS After a retiring from a successful business career, you would like to make a donation to your university. This donation will go into the school's endowment pool and the returns generated from the donation will support the salary of a new professor in the business school on a perpetual basis. The university expects to earn returns of 5.5% on its endowment pool. You may assume that any distributions to support the salary will be made annually. Part A) You can make a donation today (t=0) in the amount of $2,500,000. The first cash flow distribution from your donation to cover the professor's salary will take place in one year (at t=1). Which of the following is closest to the annual salary payment that can be made as a result of your donation? A. $137,500 B. $454,545 C. $2,500,000 D. $100,000 Part B) After further discussions, the university determines that the employment agreement with the new professor will call for annual salary increases of 2%. Given this…
William wants to establish a scholarship fund at his former university. He would like the recipients to receive an annual $5300 award starting next year. He would like to fund 10 years of these awards. Assuming the university can earn 11% on their donated funds, how much of a donation must William make today to fund the scholarships? $31212.92 $36512.92 $88626.65 $53000.00
NEED ASAP

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