The parents of a newborn have decided to make deposits into an investment account on each of their son's birthdays, starting on his first birthday. The parents will deposit $2,500 on their son's first birthday and plan to increase the size of their deposits by 7% every year. The account is expected to earn an interest rate of 5% p.a and the last deposit will be made their son's 18th birthday. The present value of this investment plan is closest to: $125,000 $50,554. $70,331. $121,664.
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- On your child’s 1st birthday, you open an account to fund his college education. You deposit $300 to open the account. Each year, on hisbirthday, you make another deposit. Each subsequent deposit is 8% larger than the previous one. The account pays interest at 5%/year compounded annually. How much money is in the account immediately after the deposit on his 18th birthday?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?On the day his son was born, a father deposited to a trust company a sufficient amount of money so that his son could receive money in the future. There was a provision that the son can withdraw an amount of P10,000 each year for 3 years starting on his 18th birthday and P15,000 eight months after the last withdrawal. The interest rate is 5% compounded monthly. 1. What is the effective interest rate? 2. How much did the father deposit? 3. How much money can he receive on his 18th birthday, if he decided to withdraw all the money at once?
- 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.On 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).On the day his son was born, a father deposited to a trust company a sufficient amount of money so that his son could receive money in the future. There was a provision that the son can withdraw an amount of P10,000 each year for 3 years starting on his 13th birthday and P16,600 ten months after the last withdrawal. The interest rate is 6% compounded monthly. What is the effective interest rate? How much did the father deposit? How much money can he receive on his 13th birthday, if he decided to withdraw all the money at once?
- 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?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.)When your son is born you want to determine what lump amount would you have to be paid into an account bearing interest of 10%/yr to provide withdrawals of $10,000 on each of your son's 18th, 19th, 20th, and 21st birthday
- A father wants to set aside money for his son's future college education. Money can be deposited in a bank account that pays 8.1% per year, compounded annually. What equal deposits should be made by the father, on his son's 5th through 17th birthdays, in order to provide $6900 on the son's 18th, 19th, 20th, and 21st birthdays?New parents wish to save for their newborn's education and wish to have $40,000 at the end of 17 years. How much should the parents place at the end of each year into a savings account that earns an annual rate of 4.5% compounded annually? (Round your answers to two decimal places.) How much interest would they earn over the life of the account? Determine the value of the fund after 11 years. How much interest was earned during the 11th year?Andrew deposits $306.06 each month into an annuity account for his child's college fund in order to accumulate a future value of $80,000 in 16 years. How much of the $80,000 will Andrew ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.