A couple wants to set up a college fund for their child. The fund will give the child $1,000 per month for 48 months. The first withdrawal will occur when the child turns 18 years old. Assume that the college fund will earn j12=6%. a) How much money will need to be in the account on the child's 18th birthday in order to sustain the withdrawals? b) How much money should be set aside to establish the fund on the child's first pirthday?

A couple wants to set up a college fund for their child. The fund will give the child $1,000 per month for 48 months. The first withdrawal will occur when the child turns 18 years old. Assume that the college fund will earn j12=6%. a) How much money will need to be in the account on the child's 18th birthday in order to sustain the withdrawals? b) How much money should be set aside to establish the fund on the child's first pirthday?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 33P

See similar textbooks

Similar questions

A couple wants to begin saving money for their daughter's education. $16,000 will be needed on the child’s 18th birthday, $18,000 on the 19th birthday, $20,000 on the 20th birthday, and $22,000 on the 21st birthday. Assume 5% interest with annual compounding. The couple is considering two methods of accumulating the money. a. How much money would have to be deposited into the account on the child's first birthday to accumulate enough money to cover the education expenses? (Note: A child’s “first birthday” is celebrated 1 year after the child is born.) b. What uniform annual amount would the couple have to deposit each year on the child’s first through seventeenth birthdays to accumulate enough money to cover the education expenses?
1) Suppose that you want to create a "college fund" for your newborn child and place $300 in a bank account at the end of each of the next 20 years. If that account earns an annual rate of return of 7%, how much will be in that account at the end of the twentieth year? A) $13,420.00 B) $12,977.53 C) $13,178.20 D) $11,828.32 E) $12,298.65
A couple with a newborn son wants to save for their child's college expenses in advance. The couple can establish a college fund that pays 8% annual interest. Assuming that the child enters college at age 18, the parents estimate that an amount of $50,000 per year will be required to support the child's college expenses for four years. Determine the equal annual amounts that the couple must save until they send their child to college. (Assume that the first deposit will be made on the child's first birthday and the last deposit on the child's 18th birthday. The first withdraw will be made at the beginning of the freshman year, which also is the child's 18th birthday.) O $4,775.80 O $6,016.13 O $6,138.52 O $4,609.37
Grandparents plan to open an account on their grandchild's birthday and contribute each month until she goes to college. How much must they contribute at the beginning of each month in an investment that pays 7%, compounded monthly, if they want the balance to be $200,000 at the end of 18 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. ordinary annuity annuity due (b) Solve the problem. (Round your answer to the nearest cent.)
A couple wishes to establish a college fund at a bank for their five-year-old child. The college fund will earn an 8% interest compounded quarterly. Assuming that the child enters college at age 18, the couple estimates that an amount of $30,000 per year. in terms of today's dollars (dollars at child's age of five), will be required to support the child's college expenses for four years. College expenses are estimated to increase at an annual rate of 6%. Determine the equal quarterly deposits the couple must make until they send their child to college. Assume that the first deposit will be made at the end of the first quarter and that deposits will continue until the child reaches age 17. The child will enter college at age 18, and the annual college expense will be paid at the beginning of each college year. In other words, the first withdrawal will be made when the child is 18.
Grandparents plan to open an account on their grandchild's birthday and contribute each month until she goes to college. How much must they contribute at the beginning of each month in an investment that pays 7%, compounded monthly, if they want the balance to be $170,000 at the end of 18 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. (b) Solve the problem. (Round your answer to the nearest cent.)
A new mother would like to start a college fund for her newborn daughter. She makes quarterly deposits of $400 into a college fund that earns 6% compounded quarterly for the next 18 years. How much will her daughter have available in her college fund when she turns 18? $ Round to the nearest dollar What is total amount the mother deposited into the fund over the 18 years? $ Round to the nearest dollar How much interest was earned over the 18 years? $ Use the WHOLE DOLLAR AMOUNTS you entered in as your answers above. 4 Round to the nearest dollar
Suppose that a young couple has just had their first baby and they wish to insure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 4% per year. The parents deposit $ 10,000 on their daughter's first birthday and plan to increase the size of their deposits by 2% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to: $1,012,908 $ 147,489 $500,000 $298,785
You are planning on having your first child next month and your parents have told you that they are going to open an account with $3,000 on the day your child is born. The money is to be used for college. You plan to also put $1,500 of your own money into the same account on the day your child is born, and then another $1,500 into the account each year on your child's birthday, through his/her 18th birthday. If the account averages an 8% annual return, what will the account balance be on your child's 18th birthday? Please use appropriate excel formula and show how you arrived at your answer.
Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then what is the amount available for the daughter's college expenses on her 18th birthday?
Mr. J. J. Parker is creating a college fund for his daughter. He plans to make 15 yearly payments of $1500 each with the first payment deposited today on his daughter’s first birthday. Assuming his daughter will need four equal withdrawals from this account to pay for her education beginning when she is 18 (i.e. 18, 19, 20, 21), how much will she have on a yearly basis for her college career? J. J. expects to earn a hefty 12% annual return on his investment. (show work)
A man needs to set up a 529 colleges saving account for his granddaughter. How much will he need to deposit each year in order to have 80000 saved up for when she goes to college in 17 years, assuming the account earns 6% return.