On completion of her LETU Principles of Finance course, Marla Lee was so pleased with the amount of useful and interesting knowledge she gained that she convinced her parents, who were wealthy alumni of the university she was attending, to create an endowment. The endowment will provide for three students from low-income families to take the introductory finance course each year in perpetuity. The cost of taking the finance course this year is $1500 per student (or $4500 for 3 students), but that cost will grow by 2% per year forever. Marla's parents will create the endowment by making a single payment to the university today. The university expects to earn 8% per year on these funds. a) How much will Marla's parents have to give the university today to fund the endowment if it starts paying out cash flow next year? ú) What amount would be needed to fund the endowment if the university could earn 12% rather than 8% per year on the funds?

On completion of her LETU Principles of Finance course, Marla Lee was so pleased with the amount of useful and interesting knowledge she gained that she convinced her parents, who were wealthy alumni of the university she was attending, to create an endowment. The endowment will provide for three students from low-income families to take the introductory finance course each year in perpetuity. The cost of taking the finance course this year is $1500 per student (or $4500 for 3 students), but that cost will grow by 2% per year forever. Marla's parents will create the endowment by making a single payment to the university today. The university expects to earn 8% per year on these funds. a) How much will Marla's parents have to give the university today to fund the endowment if it starts paying out cash flow next year? ú) What amount would be needed to fund the endowment if the university could earn 12% rather than 8% per year on the funds?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A professor has two daughters that he hopes will one day go to college. Currently, in-state students at the local University pay about $20,246.00 per year (all expenses included). Tuition will increase by 4.00% per year going forward. The professor's oldest daughter, Sam, will start college in 16 years, while his youngest daughter, Ellie, will begin in 18 years. The professor is saving for their college by putting money in a mutual fund that pays about 8.00% per year. Tuition payments are at the beginning of the year and college will take 4 years for each girl. (Sam's first tuition payment will be in exactly 16 years) The professor has no illusion that the state lottery funded scholarship will still be around for his girls, so how much does he need to deposit each year in this mutual fund to successfully put each daughter through college. (ASSUME that the money stays invested during college and the professor will make his last deposit in the account when Sam, the OLDEST daughter,…
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?
Jeremiah Wood wants to set up a fund to pay for his daughter's education. In order to pay her expenses, he will need $22,000 in four years, $23,400 in five years, $24,600 in six years, and $26,100 in seven years. If he can put money into a fund that pays 5 percent interest, what lump-sum payment must Jeremiah place in the fund today to meet his college funding goals? Round the answer to the nearest cent. Round PV-factor to three decimal places.
In a family members will, they would like to establish a perpetual trust to provide for the maintenance of a school's learning lab. If the annual maintenance is fixed at $12,500 per year and the trust can earn 5% interest, how much money must be set aside in the trust?
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. 75395.75
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 4.47% p.a. compounded half-yearly (2=4.47% 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 scholarship amount (rounded to two decimal places)? a. 101959.37 O b. 206197.54 O c. 203631.53 O d. 207511.86
THIS QUESTION HAS TWO PARTS After a retiring from a successful business career, you would like to make a donation to your university. This donation will go into the school's endowment pool and the returns generated from the donation will support the salary of a new professor in the business school on a perpetual basis. The university expects to earn returns of 5.5% on its endowment pool. You may assume that any distributions to support the salary will be made annually. Part A) You can make a donation today (t=0) in the amount of $2,500,000. The first cash flow distribution from your donation to cover the professor's salary will take place in one year (at t=1). Which of the following is closest to the annual salary payment that can be made as a result of your donation? A. $137,500 B. $454,545 C. $2,500,000 D. $100,000 Part B) After further discussions, the university determines that the employment agreement with the new professor will call for annual salary increases of 2%. Given this…
Lynn Swartz's husband died 3 years ago. Her parents, who have income of over $200,000 per year, want to ensure that funds will be available for the education of Lynn's eight-year-old son, Eric. Lynn is currently earning $45,000 a year. Lynn's parents have suggested that they start a savings account for Eric. They have calculated that if they invest $4,000 per year for the next 8 years, sufficient funds will be available at the end of 10 years for Eric's college expenses. Lynn realizes that the tax treatment of the investments could significantly affect the amount of funds available for Eric's education. Complete the letter advising her about options available to her parents and to her for Eric's college education. SWFT, LLP 5191 Natorp Boulevard Mason, OH 45040 September 7, 2021 Ms. Lynn Swartz 100 Myrtle Cove Fairfield, CT 06824 Dear Lynn: You asked me to consider the tax-favored options for accumulating the funds for Eric's college education. An added complication (and opportunity…

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