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 4.55% p.a. compounded half-yearly (2-4.55% 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 annualscholarship amount (rounded to two decimal places)?O a. 104023.77b. 210414.09O c. 211782.22O d. 207744.26

Answered: Image /qna-images/answer/1349bc8f-0473-493d-bcdb-923e729ac108.jpg

Answered: Mike wants to donate $5,000,000 to…

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

A family wishes to accumulate 50,000 in a college education fund at the end of 20 years. If they deposit 1,000 in the fund at the end of each of the first 10 years and 1,000+ X in the fund at the end of each of the second 10 years, find X if the fund earns 8% effective.
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 two years after his deposit into the fund. If the fund pays 4.5%compounded annually , how much must Alain deposit
Your grandmother left you an inheritance in the form of a trust. The trust agreement states that you are to receive R2 500 on the first day of each year, starting immediately and continuing for fifty years. What is the value of this inheritance today if the applicable discount rate is 6,20%? a. b. d. R66 811,30 R40 706,92 R39 942,42 R49 942,42
Stacey deposits $ 4500 at the end of each year for 30 years into an investment fund which pays out interests at annual effective interest rate of 3 %. He is only able to reinvest this interest at an annual effective interest rate of 2 %. What is the accumulated value of his investments at the time of the last investment. Explain your work.
A special endowment assurance policy is issued to a male aged 55 and a female aged 50 with a term of 20 years. A benefit of $500,000 is payable immediately on the last death of the two lives. There is a survival benefit of $600,000 if both of them are alive; if only one of them is alive, the survival benefit is $400,000. Premiums are payable annually in advance over the term of the policy as long as one of them is alive. The interest rate is 4% per annum and the mortality basis is PA92C20. Calculate the net annual premium for this policy. Correct your answer to the nearest cent.
A grateful alumnus wishes to provide a scholarship of $1,800 per year for 4 years to his alma mater, with the first scholarship awarded on his 59th birthday. If the money is worth an annual rate of 5.1%, compounded annually, how much money must he donate on his 49th birthday? Round your answer to the nearest cent. O a. $1,362.43 b. $2,601.05 c. $5,764.90 d. $4,069.80 e. $5,485.16
Billy wants to prepare funds for when he retires such that from his 60th to 70th years he will be able to receive equal withdrawals of P20,000 for his annual expenses. He invests equal amount during his 40th to 59th birthdays in a mutual fund with 12% interest compounded annually. How much was Billy’s equal deposits from those years?
. 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?
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 4.47% p.a. compounded half-yearly (2=4.47% 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 scholarship amount (rounded to two decimal places)? a. 101959.37 O b. 206197.54 O c. 203631.53 O d. 207511.86
On Chris’ 8th birthday, his great aunt gives him $200,000. His parents place the money in an investment paying 7% compounded monthly. a) Find the value of the fund on Chris’ 21st birthday. b) Find the amount of interest the fund earned.

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