(3) Suppose $40,000 was invested on January 1, 1980 at an annual effective in- terest rate of 7% in order to provide an annual (calendar-year) scholarship of $5,000 each year forever, the scholarships paid out each January 1. (b) What smaller scholarship can be awarded the year prior to the first $5,000 scholarship?
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We have to calculate the present value of perpetual annuity due. This value will be equal to the future value compounded of the initial investment $40000 by "n" periods. We have to find the value of n first. Remember, the first annuity is paid on the 1st of January every year so if the value of n is a fraction, then we will have to take the next integer value as the day of the 1st annuity payment. Calculate the future value of the $40000 compounded to the period of the integer value and then subtract the value of the perpetuity from it to get to the smaller scholarship that can be awarded to the first scholarship. Please refer to the below for all the excel calculations.
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- 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 b. What is the amount left in the fund after fifth P40, 000 was withdrawn? c. What is the amount left in the fund after the fourth P60, 000 was withdrawn?3.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?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. P1,674,819 P1,852,321 P1,458,214 P2,025,241
- Q) A donor wishes to endow a scholarship to a certain university in the name of a certain professor. The scholarship is to provide $80,000 per year for first 10 years and $100,000 per year for the following 90 years. If the university expects to be able to earn 10% per year compounded continuously on the endowment, how much must the donor give now if the first scholarship is to be given 3 years from now? Solve it early but correctly. Handwriting or typed answer only not in excel work.You plan to set up an endowment at your alma mater that will fund $180,000 of scholarships each year indefinitely. If the principal (the amount you donate) can be invested at 6.4 percent, compounded annually, how much do you need to donate to the university today, so that the first scholarships can be awarded beginning one year from now? (Round answer to 2 decimal places, e.g. 52.75.)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?
- 2. An endowed scholarship is one funded by a single deposit in a permanent scholarship account by a successful alum. The endowment deposit amount remains untouched and unchanged in the scholarship account. The interest accumulated each year is taken out and paid to a deserving student at the end of each year in a scholarship award. If an endowment earns 3.25% annual interest compounded monthly, a. What is the effective interest rate? b. What would the annual scholarship award be if the amount of the endowment was $300,000?A college wants to provide students with a perpetual scholarship of $10,000 at the end of every 3 months. How large should their endowment fund be if invested at X% (choose the rate) compounded quarterly?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?
- 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.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 student will receive a $25,000 grant at the beginning of every year for the next five years. Assuming an annual interest rate of 4% is appropriate, the present value of an ordinary annuity is 4.4518 x $25,000 = $111,295, and the present value of an annuity due is 4.6299 x $25,000 = $115,748. What is the fair value of the grant payments according to the Financial Accounting Standards Board (FASB)? $130,000 $115,748 $125,000 $111,295