A donor wants to fund a growing perpetuity that will pay $14,164 per year to a local museum, starting next year. She wants the annual amount paid to the museum to grow by 5% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity? Please use EXCEL
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f2.
Subject :- Accounting
A donor wants to fund a growing perpetuity that will pay $14,164 per year to a local museum, starting next year. She wants the annual amount paid to the museum to grow by 5% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity? Please use EXCEL
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- Assume you are working with the foundation to fund a scholarship in your name. Currently, the foundation can earn a 5 percent return on any donations. A. How much money would you need to donate to fund a scholarship that pays $25,000 every year forever, starting one year from now? B. How much money would you need to donate if the foundation could increase their return to 7 percent on any donations?1. A company wants to give an endowment for a college. They wish to give $10,202.41 in perpetuity. What would be the present value if the interest rate is 8.1%?Camosun College has just received a donation of $50,000. The donor has stipulated that the funds should be used to fund an ongoing annual bursary with the first payment given out in one year. If the money is invested into an account earning 3.71% compounded annually (j1), how much will the annual bursary be? Your Answer:
- Determine the amount of money required to set up a charitable endowment that pays the amount P each year indefinitely for the annual interest rate r compounded continuously. P = $13,000, r = 6% STEP 1: We start with the present value of a perpetuity, which is defined as follows. Present value = P r Here, represents the size of each annual payment in dollars, and represents the annual interest rate. STEP 2: Calculate the present value. (Round your answer to two decimal places.)5) A rich donor gives a hospital $1,040,000 one year from today. Each year after that, the hospital will receive a payment 6% larger than the previous payment, with the last payment occurring in ten years' time. What is the present value (PV) of this donation, given that the interest rate is 11%?(b) As an added benefit to staff, Insignia intends to start a Trust Fund to assist the children of its employees with university tuition via scholarships. The intention of the company is to assist 4 different students annually with a $10,000 grant each. The grant is expected to be increased by 5% annually and provide scholarships indefinitely. Required: i. Assuming this fund will earn 10% interest per annum, calculate the value of the fund today. ii. Insignia decides to fund this amount (calculated in (i)) via monthly deposits over the next 12 months in an enhanced savings account, after which the scholarships will begin. Assuming a return of 12%, compounded monthly, how much would Insignia need to deposit monthly over the next year, to achieve this goal? ii. Compute the effective annual rate on this enhanced savings account.
- 3. A donor wishes to endow a scholarship to a certain university in the name of a certain professor. The scholarship is to provide $50000 per year for the first 8 years and starting 11 years from now $200000 every 3 years (forever). If the university expects to be able to earn a nominal interest of 16% per year compounded continuously on the endowment, how much must the donor give now if the first scholarship is to be given 1 year from now?Hal wants to establish a savings fund from which a community organization could draw $890 a year for 20 years. If the account earns 2.5 percent annual interest, what amount does he have to deposit now to achieve this goal? Use Exhibit 1B-4. (Round time value factors to 3 decimal places and final answer to the nearest dollar amount. Omit the "$" sign in your response.) Amount to be deposited $Q4. Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ME students. She wants the scholarship to provide $11,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $140,000, what rate of return must the university realize in order to award the annual scholarship forever? The rate of return that the university must realize in order to award the annual scholarship forever is %.
- Don Solomon wants to set up a scholarship program with his alma mater. If P941498 is needed per year for the scholars, how much must he invest today at 1.7% compounded annually to fund the scholarship program in perpetuity? Round your answer to 2 decimal places.Emma wants to donate $1,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j4=4.12% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? (b) Assume that the fund's earnings rate rate has changed from j4=4.12% to j4 = 3.87% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)? (a) What is the amount of the annual scholarship (rounded to two decimal places)? a. 44494.20 b. 46355.87 C. 41840.92 d. 43772.21 (b) Assume that the fund's earnings rate rate has changed from 4-4.12% to 4-3.87% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first…Draw the cash-flow diagram if neccesary 4) A P3 million donation was given by a rich man to a foundation that cares for elderly people without shelters. This donation was then invested to a fund that earns an interest rate of 12% effective. The amount in the fund will provides an equal-beginning of a monthly medical expenses of P 37, 500 at the start of investment for the elderly as long as the amount is available. a) How long will it lasts? b) What available amount would be in the fund after the last monthly expense? Pls show the solution. Thanks