You decide to give SCU an endowment as a lump sum of $1,000,000. Youwould like to specify that this will pay out an income stream of $R per year, with anannual increase of $1000 per year, continuing forever. Assume that you can lock in an5.interest rate of 5%. What value of R would match your lump sum donation of$1,000,000?

Present Value of Perpetuity = 1,000,000 Income Stream = R Annual Increase in Annuity = 1000 per year…

Answered: You decide to give SCU an endowment as…

Financial Accounting Intro Concepts Meth/Uses

14th Edition

ISBN:9781285595047

Author:Weil

Publisher:Weil

ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications

Section: Chapter Questions

Problem 23E

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1. You decide to give SCU an endowment that will pay out $50 K per year forever,with a continuously compounded annual increase of 3%. Assuming that you canlock in an interest rate of 5%, gure out how much this endowment would cost.What is the total value of this income stream? 4. Let's revisit the income stream from your endowment to SCU in the rst prob-lem, which is $50 K per year with 3% continuously compounded annual increase.Instead of the 5% investment rate we used in Problem 1, compute the presentvalue of this income stream (lasting forever) assuming a constant interest rater. What is the present value of the income stream ifr= 0:02. For which values of r is the present value finite?
1. You decide to give SCU an endowment that will pay out $50 K per year forever,with a continuously compounded annual increase of 3%. Assuming that you canlock in an interest rate of 5%, gure out how much this endowment would cost.What is the total value of this income stream? 2.Suppose Aunt Grace wanted to give annual increases of $2,000 per year. How would this change the computations above? Give values for the amount Aunt Grace would have to pay to fund the income stream for 25 years, 50 years, 100years, 200 years, and forever. (Hint: You need only integrate by parts once.) 3. In addition to the $1 M already deposited there by Aunt Grace, how much would Aunt Margaret have to add to the fund to enableit to pay out an income stream ofR(t) = 60 +t forever?
1. You decide to give SCU an endowment that will pay out $50 K per year forever, with a continuously compounded annual increase of 3%. Assuming that you can lock in an interest rate of 5%, figure out how much this endowment would cost. What is the total value of this income stream? 2. Suppose Aunt Grace wanted to give annual increases of $2,000 per year. How would this change the computations above? Give values for the amount AuntGrace would have to pay to fund the income stream for 25 years, 50 years, 100years, 200 years, and forever. (Hint: You need only integrate by parts once.) 3. You take all the information about Aunt Grace's gift to your not-quite-so-wealthy Aunt Margaret. In addition to the $1 M already deposited there byAunt Grace, how much would Aunt Margaret have to add to the fund to enable it to pay out an income stream of R(t) = 60 +t forever? 4. Let's revisit the income stream from your endowment to SCU in the first problem, which is $50 K per year with 3% continuously…
You want to endow a scholarship that will pay $10,000 per year forever, starting one year from now. If the school's endowment discount rate is 7%, what amount must you donate to endow the scholarship? How would your answer change if you endow it now, but it makes the first award to a student 10 years from today? In the first case, the amount you must donate today is $ . (Round to the nearest cent.) How would your answer change if you endow it now, but it makes the first award to a student 10 years from today? In this case, the amount you must donate today is $. (Round to the nearest cent.)
You want to endow a scholarship that will pay $11,000 per year forever, starting one year from now. If the school's endowment discount rate is 10%, what amount must you donate to endow the scholarship? The amount you must donate is $ (Round to the nearest cent.)
You decided to fund a charity for ten years. The first payment will be made one year from today (at the end of year one) and will be $8,350. Each year after that, the charity will receive payment from you annually. The payment will increase at a rate of 2% per year after the second payment. If the annual interest rate is 15%, what is the present value of this endowment? no excel and calculations please
You would like to establish a trust fund that would provide annual scholarships of $100,000 today and then grow at 2.0% forever (i.e. at time 1 there will be a $102,000 scholarship award). How much would you have to deposit today in one lump sum to achieve this goal if you can earn a guaranteed 7.0 percent rate of return? 2,140,000 2,355,556 1,945,455 2,650,000
Warren buffet decides to endow an annual investment symposium at DePaul starting next year and continuing forever. The symposium is expected to cost $15000 at that time. Interest rates at 5% how much must he contribute today
You want to endow a scholarship that will pay $12,000 per year forever, starting one year from now. If the school's endowment discount rate is 5%, what amount must you donate to endow the scholarship?
An investment will generate $12,000 a year for 30 years. If you can earn 12 percent on your funds and the investment costs $100,000, calculate the present value of investment. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it?-Select-YesNoItem 2 Calculate the present value of investment, if you could earn only 9 percent. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it in this case?
You will endow a DePaul scholarship with a grant gift stream that lasts forever. The first grant is to be made 10 years from now in the amount of $1,303.14, but it must grow by 3% per year forever. Assume a discount rate of 9% and annual compounding. How much must you set aside today to fund the gift?
An investment will generate $9,000 a year for 20 years. If you can earn 9 percent on your funds and the investment costs $100,000, calculate the present value of investment. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it?-Select-YesNoItem 2 Calculate the present value of investment, if you could earn only 5 percent. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it in this case?-Select-YesNo

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