Find the present worth of this cost.
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An endowment fund is providing an annual scholarship of P50,000 for the first five years, P60,000 for the next five years, and P90,000 thereafter. The fund will be established today and will award the first scholarship after a year. The fund earns 4.5 % annual interest. Find the present worth of this cost.
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- An endowment fund is to provide an annual scholarship of P4,000 for first 5 yrs, P6,00 for the next 5 yrs, and P9,000 thereafter the fund will be established 1 yr before the first scholarship is awarded. If the fund earns 12% interest, what sum must be deposited?A fund is to be set up for an annual scholarship of $5000. If the first payment is due in three years and interest is 6.2% compounded quarterly, what amount mis be deposited in the scholarship fund today?A scholarship fund is to be set up to provide monthly scholarships of $600. If the first payment is due in 3.0 years and interest is 6.0% compounded quarterly, what sum of money must be deposited in the scholarship fund today?
- A fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant P120,000 each year for the first 5 years, P 30,000 per quarter for the next 5 years and P10,000 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?Greendale Community College has established a scholarship that will provide awards at the start of every 6 months for the foreseeable future. To fund these, $1,470,000 is being placed in a trust fund earning 9.0% compounded annually. How much is each scholarship payout? $0.00 Round to the nearest centA fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant P50,000 for each year for the first 5 years at 8% compounded monthly, P80,000 for each year for the next 5 years at 8% compounded quarterly, and P100,000 each year thereafter at 8% compounded semi-annually interest,. The scholarship will start one year after the fund is established. What is the amount of the donation?
- A foundation announces that it will be offering one CUHK (SZ) scholarship every year for an indefinite number of years. The first scholarship is to be offered exactly one year from now. When the scholarship is offered, the student will receive ¥100,000 annually for a period of four years, beginning from the date the scholarship is offered. This student is then expected to repay the principal amount received (¥400,000) in 10 equal annual installments, interest-free, starting two years after the last payment of the scholarship. This implies that the foundation is really giving an interest-free loan under the guise of a scholarship. The current interest is 6% and is expected to remain unchanged. (1) What is the PV of the first scholarship? (2) The foundation invests a lump sum to fund all future scholarships. Determine the size of the investment todayA fund is to be donatedby a wealthy man to provide annual scholarships to deserving students. The fundwill grant P120,000 each year for the first 5 years, P 30,000 per quarter forthe next 5 years and P10,000 each monththereafter . The scholarship will start one year after the fund is established.What is the amount of the donation if i = 12% compounded annually?8. An education fund will offer a P40, 000 annual scholarship for the first five years, a P60, 000 scholarship for the next five years, and a P90, 000 scholarship after that. One year before the first scholarship is given out, the fund will be established. Interest is paid on the fund at a rate of 4 1/2 percent. a. What sum of money must be deposited now? b. What is the amount left in the fund after fifth P40, 000 was withdrawn? c. What is the amount left in the fund after the fourth P60, 000 was withdrawn?
- 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.)You will endow a DePaul scholarship with a grant gift stream that lasts forever. The first grant is to be made 10 years from now in the amount of $1,303.14, but it must grow by 3% per year forever. Assume a discount rate of 9% and annual compounding. How much must you set aside today to fund the gift?How much can be paid in scholarships at the end of each half-year if $210,000 is deposited in a trust fund if interest is 4.5% compounded semi-annually?