0, 000 of capital replacement at
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The will of a wealthy philanthropist left P5, 000,000 to establish a perpetual charitable
foundation. The foundation trustees decided to spend P1, 200,000 to provide facilities
immediately and to provide P100, 000 of capital replacement at the end of each 5 year
period. If the invested funds earned 12% per annum, what would be the year end
amount available in perpetuity from the endowment for charitable purposes?
(I ONLY NEED CASHFLOW DIAGRAM PLEASE DRAW IT NOT DIGITAL!)
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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?The will of a wealthy philanthropist left P5, 000,000 to establish a perpetual charitable foundation. The foundation trustees decided to spend P1, 200,000 to provide facilities immediately and to provide P100, 000 of capital replacement at the end of each 5 year period. If the invested funds earned 12% per annum, what would be the year end amount available in perpetuity from the endowment for charitable purposes? (I ONLY NEED CASHFLOW DIAGRAM PLEASE PROVIDE BELOW!)The will of a wealthy philanthropist left P5,000,000 to establish a perpetual charitablefoundation. The foundation trustees decided to spend P1,200,000 to provide facilitiesimmediately and to provide P100,000 of capital replacement at the end of each 5-yearperiod. If the inverted funds earned 12% per annum, what would be the year-endamount available in perpetuity from the endowment for charitable purposes?
- The will of a wealthy philanthropist left ₱5,000,000 to establish a perpetual charitable foundation. The foundation trustees decided to spend ₱1,200,000 to provide facilities immediately and to provide ₱100,000 of capital replacement at the end of each 5-year period. If the invested funds earned 12% per annum, what would be the year-end amount available in perpetuity from the endowment for charitable purpose? Use 5 as focal point. Ans. ₱79,245A humanitarian left in his will a P3,000,000 to be used for founding a perpetual charity. The foundation board of council agreed to budget at least P1,000,000 for the facilities costs (repair and maintenance) every 5 years. If the investment earns 10% every year, how much will be the amount in perpetuity available year end from the grant for charity works?A 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?
- 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 man wishes to donate immediately to a University sufficient money to provide for the erection and maintenance, for the next 50 years of a building which will cost $ 500,000 to erect and will require $ 1000 at the end of each month to maintain. How much should he donate if the University is able to invest its funds at 8% compounded semi-annually?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 donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?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 generous donor has offered to fund a scholarship at UTP worth RM120,000 per year beginning in year 3 and continuing indefinitely. Determine how much the donor must provide right now if the UTP's donation earns 8% per year.