A fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant Php5,000 for each of the first 5 years, Php8,000 for each of the next 5 years and Php10,000 each year thereafter. The scholarship will start one year after the fund is established. If the fund earns 8% interest, what is the amount of the donation?
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- 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?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 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 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?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.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.
- u.A fund donated by wealthy person to IECEP to provideannual scholarships to deserving ECE students. Thefund will grant Php 5 000 for each of the first five years,Php 8 000 for the next five years and Php 10 000 foreach year thereafter. The scholarship will start oneyear after the fund is established. If the fund earns 8%interest, what is the amount of the donation? 3. Ifpayments are made at end of the interest period. 4. Ifpayments are made at beginning of the interestperiod. include a cash flow diagra,A wealthy donor wants to establish a scholarship that pays an award of $1,000 in perpetuity at the end of each year. The first award will be in three years. How much money must she set aside today in order to fund the bursary? Assume that the money will earn a nominal interest rate of 4% compounded annually.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 today
- 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=5% 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)?Allain Dupre wants to set up a scholarship fund for his school. The annual scholarship payment is to be $3,600 with the first such payment due two years after his deposit into the fund. If the fund pays 4.5%compounded annually , how much must Alain depositEmma 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=5% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (b) Assume that the fund's earnings rate rate has changed from j4=5% to j4=4.75% 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)?