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?

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 $38,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 5 percent, how much must the donor contribute today to fully fund the scholarship?

The Jeffersons have asked you what would be needed to fund the children’s future college costs. Assume each child will begin college at age 18 and graduate in four years. Assume current costs are $24,000 per year and are expected to increase by 5% per year and investments earn 7%.   A.      Assuming no existing assets are dedicated to college, what is the annual savings amount required to fund the children’s education? The Jeffersons’ goal is to have an amount at the beginning of the freshman year for each child that is sufficient to fund a serial payment covering the $24,000 of current costs of college adjusted for inflation for each of the four years of college. Please include your calculator keystroke inputs [PV, I/YR, N, FV, and PMT (if needed)] for each step of this calculation. Also include whether any PMTs are in the end mode or the begin mode. B.      What would you say to the Jeffersons about their education funding situation? Write a script of a single paragraph as if you…

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 create a college fund for a child who is now 3 years old. The fund should grow to $60,000 in 15 years. If an investment available to you will yield 6 percent per year, how much must you invest in a lump sum now to realize the $60,000 when needed? Round to the nearest cent. DO NOT INCLUDE COMMAS OR $.

.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.)

A borrower bought a house for $300,000; he can obtain an 80% loan with a 20-year fully amortizing, 7% interest rate and monthly payment. Alternatively, he could get a 30-year fully amortizing 90% loan at 9% What is the incremental cost of borrowing the additional fund?