Question

1. After inheriting $1,000,000, you decide to make an endowment to DBU that will fund a...

1. After inheriting $1,000,000, you decide to make an endowment to DBU that will fund a scholarship of $8,000 every year for the next 30 years. The market interest rate for a deposit account that will disperse such an annuity is 9.5%, compounded annually. What amount must you invest in this account today to fund this annuity for 30 years (the 30th payment will zero out the account)?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Amount to be invested today is equal to the present value of future payments

= Annual Amount*Present value annuity factor

= 8,000*PVAF(9.5%, 30 years)

= 8,000*9.8347

= $78,677.6

Add a comment
Know the answer?
Add Answer to:
1. After inheriting $1,000,000, you decide to make an endowment to DBU that will fund a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 22. You are head of the Schwartz Family Endowment for the Arts. Schwartz Family Endowment for...

    22. You are head of the Schwartz Family Endowment for the Arts. Schwartz Family Endowment for the Arts. You have decided to fund an arts school in the San Francisco Bay area in perpetuity. Every seven years, uity. Every seven years, you will give the school $6.5 million. The first payment will occur seven years from to 5% per year compounded annually, what is the time t=0 present value of payment will occur seven years from today. If the interest...

  • 9. You wish to establish an endowment fund that will provide student financial aid awards every...

    9. You wish to establish an endowment fund that will provide student financial aid awards every month, perpetually. To finance the scholarships you will make a series of equal deposits into a savings account. The deposits will be made monthly equal to $2,000 each, with the first one today and the final one in 7 years. The first award is to be granted one month after the last deposit. The savings rate is 5.90% compounded monthly. 1. Construct timelines. 2....

  • Please help by providing explanation/step by step processes for solutions. Thank you! A young adult expects to receive...

    Please help by providing explanation/step by step processes for solutions. Thank you! A young adult expects to receive a cash gift of $9,402 from his trust fund in 9 years. At an interest rate of 10% compounded annually, the present value of the gift is closest to: _______ You expect to buy a house in 9 years. At that time, you will need a down payment of $45,524. A local bank offers a savings account that pays 5% per year,...

  • 3. Mr. and Mrs. Mercado decided to sell their house and to deposit the fund in a bank. After computing the interest,...

    3. Mr. and Mrs. Mercado decided to sell their house and to deposit the fund in a bank. After computing the interest, they found out that they may withdraw P350,000 yearly for 4 years starting at the end of 7 years when their child will be in college. How much is the fund deposited if the interest rate is 3% compounded annually? 4. A group of employees decided to invest a portion of their bonus. After 3 months from today,...

  • please answer all of the following questions 21. Suppose you deposit $5,000 into an account earning...

    please answer all of the following questions 21. Suppose you deposit $5,000 into an account earning 4 percent interest, compounded monthly and you also make monthly contributions of $50 (first monthly contribution made one month after the initial deposit is made). How many years (rounded to one decimal place --for example, 32.1843 year = 32.2) will it take for the account to grow to $7,500 in this case? 22. Assume that I am trying to borrow money from you to...

  • a) You just won $1,000,000 on the lottery. If you chose the payments over 20 years...

    a) You just won $1,000,000 on the lottery. If you chose the payments over 20 years ($50,000 per year) how much is the value of the up-front cash option (present value) if the state uses a 6% rate of return (interest)? b) Katey needs $10,000 in 4 years to use as a down payment on a house. What amount must she invest today if her investment earns 10%? c) Linda invested $1500 today in a fund that earns 8% annually....

  • 1] Assume you have $2,500 to invest today at 5% interest compounded annually Determine how much...

    1] Assume you have $2,500 to invest today at 5% interest compounded annually Determine how much you will have accumulated in the account at the end of: a) 5 years b) 10 years 2] Assume instead an annuity of $2,500 (which means you will invest $2,500 per year) which will also be compounded at 5% interest annually. Determine how much you will have accumulated in the account at the end of (future value): (Note this problem is for an annuity...

  • 1. A) B) The Mellows have decided to invest in a college fund for their young...

    1. A) B) The Mellows have decided to invest in a college fund for their young son. They invested $20,000 in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns 3.00% compounded monthly and the annuity payments are deferred for 14 years, what will be the size of the monthly payments? Round to the nearest cent Juan purchased an annuity that had an...

  • qucau pomus) You want to accumulate $1,000,000 in retirement funds by your 65th birthday. Today is...

    qucau pomus) You want to accumulate $1,000,000 in retirement funds by your 65th birthday. Today is your 30th birthday, and you plan on making annual investments into a mutual fund that you project will earn a 9% annual rate of return. Your first deposit will take place! today and your last deposit will take place on your 65th birthday. What is the amount of the annual payment you must make each year in order to have $1,000,000 in your account...

  • I need help on question 3. Time Value of Money Exercise: Question 1: Assume you deposit...

    I need help on question 3. Time Value of Money Exercise: Question 1: Assume you deposit $700 every three months at ercent annual rate, compounded $700 every three months at a 6 percent am much will you have at the end of 20 years? Question 2: You borrow a five-year $13.000 loan with monthly percentage rate (APR) on the loan? 3,000 loan with monthly payments of $250. What is the annual Question 3: How much would you have to invest...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT