On the birth of a child, the father wants to deposit a sum in a savings account. He intends to provide his daughter $20,000 every month for four years, starting on her 18th birthday. If the savings bank pays 10% compounded monthly, how much should the father deposit?
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On the birth of a child, the father wants to deposit a sum in a savings account. He intends to provide his daughter $20,000 every month for four years, starting on her 18th birthday. If the savings bank pays 10% compounded monthly, how much should the father deposit?
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- On a child's first birthday, a parent wishes to deposit enough money so that the child can withdraw $5000 per year for five years. If the first withdrawal will be on the child's 18th birthday, how much should the parent deposit? The rate is 5% annually.The parents of a newborn decide to make deposits into an educational savingsaccount on each of their daughter's birthdays, starting with her first birthday.Assume that the educational savings account will return a constant 5.5% per year.The parents plan to deposit $2 200 on every of their daughter's future birthdays.How much money could they alternatively deposit on their daughter's birth date(today) to have the same amount available on her 18th birthday?A father wants to set aside money for his 5-year-old son's future college education. Money can be deposited in a bank account that pays 8% per year, compounded annually. What equal deposits should be made by the father, on his son's 6th through 17th birthdays, in order to provide $5000 on the son's 18th, 19th, 20th, and 21st birthdays?
- 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 $4,609.37On the day his baby was born, a father decided to establish a savings account for the child’s college education. Any money that is put into the account will earn an interest rate of 8% compounded annually. The father will make a series of annual deposits in equal amounts of $5,000 on each of his child’s birthdays from the 1st through the 18th, so that he can make withdrawals from the account on the child’s 18th birthday for child's college funds. Find the amount accumulated at the end of child's 18th birthday. (Also draw the cash flow diagram).A mother wishes to set up a savings account for her son's education. She plans on investing $750 when her son is 6 months old and every 6 months thereafter. The account earns interest of 8 percent per year, compounded semiannually. (a) To what amount will the account grow by the time of her son's 18th birthday? (b) How much interest will be earned during this period?
- 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?A metallurgical engineer decides to set aside money for his newborn daughter's college education. He estimates that her needs will be $20,000 on her 17th, 18th, 19th, and 20th birthdays. If he plans to make uniform deposits starting 3 years from now and continue through year 16, what should be the size of each deposit, if the account earns interest at a rate of 8% per year?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
- A man wishes to set aside some money for his daughter’s college education. His goal is to have a bank savings account containing an amount equivalent to $20,000 in today’s dollars at the girl’s 18th birthday. The estimated inflation rate is 8%. If the bank pays 5% compounded annually, what lump sum should he deposit today on the child’s 4th birthday?James deposits $266.40 each month into an annuity account for his child's college fund in order to accumulate a future value of $80,000 in 18 years. How much of the $80,000 will James ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.Willie deposits a fixed monthly amount into an annuity account for his child’s college fund. He wishes to accumulate a future value of $125,000 in 15 years. Assuming an APR of 3.5% how much money should Willie deposit monthly in order to reach his goal. How much of the $125,000 will Willie ultimately deposit in the account, and how much is interest earned?
