of $100,000 from Tajinder. The money is invested a 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
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- 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? Need well explained answer, please do not use excel.The National Research Council is considering the establishment of a perpetuity to fund faculty positions at a local university. The ongoing cost will be $9500 at the end of each month. If the money can earn 6.3% compounded monthly in perpetuity, what amount to be invested now is required to fund the perpetuity? Select one: a. $301,587 b. $1,819,024 c. $160,294 d. $612,675 e. $1,809,524Beginning next year, a foundation will support an annual seminar on campusby using the interest earnings on a $100,000 gift it received this year. It is determined that 6% interest will be realized for the first 10 years, but that plans should be made to anticipate an interest rate of only 4% after that time. What amount should be added to the foundation now in order to fund the seminar at a level of $10,000 per year into infinity?
- A foundation was endowed with $15,000,000 in July 2014. In July 2018, $5,000,000 was expended for facilities, and it was decided to provide $250,000 at the end of each year forever to cover operating expenses. The first operating expense is in July 2019, and the first replacement expense in July 2023. If all money earns interest at 5% after the time of endowment, what amount would be available for the capital replacements at the end of every fifth year forever?A donor established a new scholarship that will pay $5,000 every 6 months to a deserving Kelley student. The scholarship will be awarded for the first time in November of 2021 (12 months from today). The donor decides that the scholarship should be provided in perpetuity. The IU Foundation manages investments like this for the Business School. The Foundation anticipates earning an APR of 8% per year on the invested funds, compounded monthly. What is the amount of the donation that must be given to the IU Foundation today to fully endow this Kelley scholarship?A foundation announces that it will be offering one CUHK (SZ) scholarship every year for an indefinite number of years. The first scholarship is to be offered exactly one year from now. When the scholarship is offered, the student will receive ¥100,000 annually for a period of four years, beginning from the date the scholarship is offered. This student is then expected to repay the principal amount received (¥400,000) in 10 equal annual installments, interest-free, starting two years after the last payment of the scholarship. This implies that the foundation is really giving an interest-free loan under the guise of a scholarship. The current interest is 6% and is expected to remain unchanged. (1) What is the PV of the first scholarship? (2) The foundation invests a lump sum to fund all future scholarships. Determine the size of the investment today
- Beginning next year, a foundation will supportan annual event on campus with the earnings of a$420,000 gift it received this year. It is felt that 8.4%interest will be realized for the first 12 years, but thatplans should be made to anticipate an interest rate of6% after that time. What amount should be added tothe foundation now to fund the event at the $45,000level into infinity?A foundation supports an annual campus seminar by using the earnings of a $50,000 gift. It is felt that 10% interest will be realized for 10 years but that plans should be made to anticipate an interest rate of 6% after that time. What uniform annual payment may be established from the beginning, to fund the seminar at the same level into infinity?A college wants to provide students with a perpetual scholarship of $10,000 at the end of every 3 months. How large should their endowment fund be if invested at X% (choose the rate) compounded quarterly?
- (1) Five years ago, an alumnus of a university donated $55,996.8 to establish a permanent endowment for scholarships. The first scholarships were awarded 1 year after the contribution. If the amount awarded each year, that is, the interest on the endowment, is $4,017.55, the rate of return earned on the fund is closest to: (2) For the nonconventional net cash flow series shown, the external rate of return per year using the MIRR method, with an investment rate of 20% per year and a borrowing rate of 8% per year, is closest to: Year 0 1 2 3 4 NCF, $ −40,000 +16,767 −29,000 +25,000 +53,519 According to Descartes’ rule of signs, the possible number of rate of return values for the net cash flow series ++++−−−−−−+−+−−−++ is: 6 7 4 8A donor established a scholarship that will pay $15,000 per year to a Kelley student. The scholarship will be awarded for the first time in September of 2023 (i.e., the first payment occurs three years from now). The donor decides that the scholarship should be provided in perpetuity. The IU Foundation manages investments like this for the Business School. The Foundation anticipates earning an APR of 5.6% per year on the invested funds. What is the amount of the donation that must be given to the IU Foundation today to endow this Kelley scholarship?To benefit the ISU College of Business, Bill Vickers would like to establish a “perpetual” scholarship fund that will pay for MBA tuition and fees worth $210,000 per year. The fund’s first payment to ISU will be issued exactly 13 years from today. If the scholarship fund earns an annual return of 4.1 percent, how much must Mr. Vickers deposit today to establish it?