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 $2,000,000, 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? O A. $110,000 O B. $363,636 O C. $80,000 O D. $2,000,000 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 new requirement, and assuming the first salary distribution will still occur one year from today, what is the starting salary (at t=1) that can be supported with your $2,000,000 donation? O A. $112,200

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 $2,000,000, 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? O A. $110,000 O B. $363,636 O C. $80,000 O D. $2,000,000 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 new requirement, and assuming the first salary distribution will still occur one year from today, what is the starting salary (at t=1) that can be supported with your $2,000,000 donation? O A. $112,200

Intermediate Accounting: Reporting And Analysis

3rd Edition

ISBN:9781337788281

Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach

Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach

ChapterM: Time Value Of Money Module

Section: Chapter Questions

Problem 17P: Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a...

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Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?
Give typing answer with explanation and conclusion A University is offering a charitable gift program. A former student who is now 50 years old is consider the following offer: The student can invest $7,500.00 today and then will be paid a 8.00% APR return starting on his 65th birthday (i.e For a $10,000 investment, a 9% rate would mean $900 per year). The program will pay the cash flow for this investment while you are still alive. You anticipate living 20.00 more years after your 65th birthday. The former student wants a return of 5.00% on his investments, but would like to consider this opportunity. Using the student's desired return, what is the value of this deferred annuity today on his 50th birthday?
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…
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 $1,800,000. 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? OA. $72,000 OB. $1,800,000 OC. $99,000 OD. $327,273 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…
Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $25,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, How much will need to deposit? rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 5.50% per annum every year. The bank representative just reported that he misquoted the available interest rate on the scholarship’s account. Your account should earn 3.50%. The amount of your required deposit should be revised to?
You would like to establish a fund that will be used to offer a scholarship each year to a worthy student at your alma mater. You would like the total annual award to be $5,000, with the first award to be presented today. Your alma mater is able to invest the funds at a constant, annual, tax - free rate of 8%. How much must you donate today to fund this award? Round your answer to the nearest dollar. You would like to establish a fund that will be used to offer a scholarship each year to a worthy student at your alma mater. You would like the total annual award to be $5,000, with the first award to be presented today. Your alma mater is able to invest the funds at a constant, annual, tax - free rate of 8%. How much must you donate today to fund this award? Round your answer to the nearest dollar. $67, 500 $51,296 $46,296 $62, 500
A University is offering a charitable gift program. A former student who is now 50 years old is consider the following offer: The student can invest $9,300.00 today and then will be paid a 8.00% APR return starting on his 65th birthday (i.e For a $10,000 investment, a 9% rate would mean $900 per year). The program will pay the cash flow for this investment while you are still alive. You anticipate living 22.00 more years after your 65th birthday. The former student wants a return of 6.00% on his investments, but would like to consider this opportunity. What is the annual cash flow from the investment starting on the student's 65th birthday?
Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $15,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to deposit ___________ (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year. Oops! The bank representative just reported that he misquoted the available interest rate on the scholarship’s account. Your account should earn 7.00%. The amount of your required deposit should be revised to____________. This suggests there is (an inverse / a direct) relationship between the interest rate earned on the account and the present value of the perpetuity.
Creating an endowment Personal Finance Problem On completion of her introductory 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 $500 per student (or $1.500 for 3 students), but that cost will grow by 2.1% 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. What will it cost 3 students to take the finance class next year? b. 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? c. What amount would be needed to fund the endowment if the…
Your grandfather wants to establish a scholarship in his father's name at a local university and has stipulated that you will administer it. As you've committed to fund a $15,000 scholarship every year beginning one year from tomorrow, you'll want to set aside the money for the scholarship immediately. At tomorrow's meeting with your grandfather and the bank's representative, you will need to deposit (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year. Oops! The bank representative just reported that he misquoted the available interest rate on the scholarship's account. Your account should earn 7.00%. The amount of your required deposit should be revised to relationship between the interest rate earned on the account and the present value of the perpetuity. This suggests there is
Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $10,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to deposit$200,000 (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 6.00% per annum every year.
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?