12. When Alfred Nobel died, he left the majority of his estate to fund five prizes, each to be awarded annually in perpetuity starting one year after he died. (The sixth one, in economics, was added later.)a. If he wanted the cash award of each of the five prizes to be $55,000 and his estate could earn 8% per year, how much would he need to fund his prizes?b. If he wanted the value of each prize to grow by 4% per year (perhaps to keep up with inflation), how much would he need to leave? Assume that the first amount was still $55,000.c. His heirs were surprised by his will and fought it. If they had been able to keep the amount of money you calculated in b and had invested it at 8% per year, how much would they have in 2014, 118 years after he died?to fund his prizes.a. He would need $(Round to the nearest dollar.)b. He would need $(Round to the nearest dollar.)c. His heirs would have $(Round to the nearest million.)to fund his prizes.million.

In finance, a perpetuity is an annuity that lasts indefinitely. Some common perpetual investments…

Answered: 12. When Alfred Nobel died, he left the…

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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Your rich uncle just celebrated his 35^(th) birthday and wants to provide SHSU an endowment of one million per year (forever) starting his 45^(th) birthday (10 years from today). He plans to set aside that money by putting it into a special account that pays 10% starting on his 36^(th) birthday through his 44^(th) birthday. How much must he set aside each year?
A man won 300,000 in a lottery decided to place 50% of his winning in a trust fund for the college education of his son. If the money will earn 14% per year compounded quarterly, how much will be the money at the end of ten years when his son will be starting his college education? Provide the cash flows and diagram.
A wealthy graduate of a local university wants to establish a scholarship to cover the full cost of one student each year in perpetuity at her university. To adequately prepare for the administration of the scholarship, the university will begin awarding it starting in three years. The estimated full cost of one student this year is $38,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 5 percent, how much must the donor contribute today to fully fund the scholarship?
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.
4. Mr. Richman has offered to give the New Life Hospice Center $100,000 today or $300,000 when he dies. If the hospice center earns 14% on its investments, and it expects Mr. Richman to live for 12 years, which alternative should they take? Take the gift now or later? Discuss in narrative and include your calculations and citations with your answer.
A grateful alumnus wishes to provide a scholarship of $1,800 per year for 4 years to his alma mater, with the first scholarship awarded on his 59th birthday. If the money is worth an annual rate of 5.1%, compounded annually, how much money must he donate on his 49th birthday? Round your answer to the nearest cent. O a. $1,362.43 b. $2,601.05 c. $5,764.90 d. $4,069.80 e. $5,485.16
. James decided to fund a school in Orange County in perpetuity. The first payment will be made three years from today (at the end of year three) and will be $5,320. Each year after that, the school will receive payment from James annually. The payment will increase at a rate of 3% per year after the first payment. If the annual interest rate is 9%, what is the present value of this endowment?
Ee 86.
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
William wants to establish a scholarship fund at his former university. He would like the recipients to receive an annual $5300 award starting next year. He would like to fund 10 years of these awards. Assuming the university can earn 11% on their donated funds, how much of a donation must William make today to fund the scholarships? $31212.92 $36512.92 $88626.65 $53000.00
John Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $430,000. He estimates that the boat he wants will cost $339,300 when he retires in 5 years. Click here to view factor tables. How much of his inheritance must he invest at an annual rate of 6% (compounded annually) to buy the boat at retirement? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) Investment amount $ eTextbook and Media
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?

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