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?

Rr.8.

To establish a scholarship fund forever at Toronto Metropolitan University paying $10000 annually if the fund will earn interest at 4% and the first payment will be made • immediately, one needs $ • 6 years from now, one needs $ Round your answers to the nearest integer and do not use, in your answers, e.g., input 21356, not 21,356.

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…

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

4. Mr. Richman has offered to give the New Life Hospice Center $100,000 today or $300,000 when he dies. If the hospice center earns 14% on its investments, and it expects Mr. Richman to live for 12 years, which alternative should they take? Take the gift now or later? Discuss in narrative and include your calculations and citations with your answer.

A favorite aunt wishes to establish a trust fund for her niece's math education. How much should she set aside now if she wants $45, 000, 7 years from now, and interest is compounded continuously at 5%? O $45,000(1.05)-7 O $45,000e -1.95 $45,000e-0.35 O $45,000e-0.05 O $45,000(1.05)- -0.35

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

. 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?