George Jefferson established a trust fund that will provide $194,500 per year in scholarships. The trust fund earns an annual return of 2.9 percent. How much money did Mr. Jefferson contribute to the fund assuming that only income is distributed? $5,868,534.48 $5,589,080.46 $7,665,024.63 O $6,706,896.55 O $6,190,981.43
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- George Jefferson established a trust fund that provides $172, 500 in scholarships each year for worthy students. The trust fund earns a 3 percent rate of return. How much money did Mr. Jefferson contribute to the fund assuming that only the interest income is distributed?Sam 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 j4-3.81% 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 4-3.81% p.a. to j4-3.56% p.a. one year before the first scholarship payment. How much does Sam 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)? Question 9Answer a. 78309.64 b. 74276.05 C. 71226.96 d. 75395.75Emma 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…
- 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. (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)?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)?Mike wants to donate $5, 000, 000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 5.26% p.a. compounded half yearly (j2 = 5.26% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? a.305668.15 b.298960.74 c.303389.92 d.149726.06
- Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.93% p.a. compounded half - yearly (j2 = 4.93% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? Question 9Answer a. 139208.15 b . 283816.22 c. 278013.64 d. 281847.776.) A wealthy man donated a certain amount of money in a bank at a rate of 12% compounded annually to be able to pay the following scholarship awards: P4000 per yr for the first 5yrs P6000 per yr on the next 3yrs P9000 per yr on the years thereafter. Find the amount of money deposited by the man. ANSWER: P = P52,887.52836.) A wealthy man donated a certain amount of money in a bank at a rate of 12% compounded annually to be able to pay the following scholarship awards: P4000 per yr for the first 5yrs P6000 per yr on the next 3yrs P9000 per yr on the years thereafter. Find the amount of money deposited by the man.
- Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? Question 9 Answer a. 127913.37 b. 255507.69 c. 260410.57 d. 258749.57 Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual…Mike wants to donate S5, 000, 000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 5.37% p.a. compounded half-yearly (j2 = 5.37% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places) ? Question 9 Answer a. 313037.32 b 306010.79 с. 153267.24 d. 310649.70Your grandparents would like to establish a trust fund that will pay you and your heirs $120,000 per year forever withthe first payment one year from today. If the trust fund earns an annual return of 2.3 percent, how much must yourgrandparents deposit today?Multiple Choicea. $5.217.391.30B. $4,347,826.09 C. $4,816,053.51D. $4,565,217.39E. $5.962.732.92