Having achieved immense success since graduating from university, you have set up an endowment fund to which you will contribute $100,000 today, with this amount declining at a constant rate of 2% p.a. in perpetuity. If the interest rate appropriate for valuing this contribution is 10% p.a., its present value is closest to: $816,667. $933,333. $916,667. $1,375,000.
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- Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?You want to endow a scholarship that will pay $11,000-per year forever, starting one year from now. If the school's endowment discount rate is 9%, what amount must you donate to endow the scholarship? The amount you must donate is $_______. (Round to the nearest cent.)
- If a college freshman invests a $10000 gift at 8% per annum compoundedquarterly, how much can be withdrawn at the end of every quarter to use up the fund exactly after four years of college. Treat this as the present value of anaannuity-immediate.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?(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 8
- 1. Find the present value of a deferred annuity of ₱4722 every six months for 5 years that is deferred for 1 years, if money is worth 1% compounded semi-annually. 2. Don Solomon wants to set up a scholarship program with his alma mater. If ₱505651 is needed per year for the scholars, how much must he invest today at 1.4% compounded annually to fund the scholarship program in perpetuity?You plan to set up an endowment at your alma mater that will fund $180,000 of scholarships each year indefinitely. If the principal (the amount you donate) can be invested at 6.4 percent, compounded annually, how much do you need to donate to the university today, so that the first scholarships can be awarded beginning one year from now? (Round answer to 2 decimal places, e.g. 52.75.)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?
- You want to endow a scholarship that will pay $11,000 per year forever, starting one year from now. If the school’s endowment discount rate is 6%, what amount must you donate to endow the scholarship?a) An individual wishes to accumulate $1,700,000 in 20 years. If he wants to deposit a certain amount of fund annually in the first 10 years and do nothing in the following 10 years, what size deposit is required to meet the stated objective? Assume the annual compound interest rate is 4%. b) Solve the following, using interest rate at 7% compounded annually: i) What is the amount that will be accumulated in a sinking fund at the end of the 15th year if $200 is deposited in the fund at the beginning of each of the 15 years? ii) What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $11,000 at the end of 10 years, $12,000 at the end of 20 years, and $2,000 a year for 30 years?A professor anticipates having a 30 year career in teaching. She wishes to save some money from each monthly paycheck that will fund the following: a. An annuity that pays out 30,000 a year for 20 years (paid at the beginning of each year) and b. leaves a bequest to her university that is a perpetuity-immediate that pays 6000 dollars a year. This perpetuity immediate starts AFTER the annuity in part (a) ends. Assuming a 6 percent nominal interest rate (converted monthly) for her savings and a 5 percent effective yearly interest rate for her retirement annuity and perpetuity what does she have to save each month?