d 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!)
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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 PROVIDE BELOW!)
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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 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 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!)
- 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 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 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 generous benefactor to DePaul plans to make a one-time endowment which would generate $15,000 of income each year into perpetuity. The rate of interest is expected to be 5 percent for all future time periods. How large must the endowment gift be? (Please show work)
- 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 charity will be donated by a wealthy man to provide annual scholarships to deserving students. The charity will grant $120,000 each year for the first 5 years, $30,000 per quarter for the next 5 years and $10,000 each month thereafter . The scholarship will start one year after the fund is established. What is the amount of the donation if i = 12% compounded annually?A generous alum would like to establish an endowment that would sponsor a student organization's conferences in perpetuity. A one-time cost of $500,000 must be paid today to purchase supplies for the conference. The conference is held once every four years and costs $90,000 . The first conference will take place at the end of year 4 . The alum's gift is invested in an account that earns 4% annually. How much would the alum need to place in the endowment to be able to sponsor the student organization's conferences? [Enter your answer with no dollar sign or comma.]
