Proud parents wish to establish a college savings fund for their newly born child.
Monthly deposits will be made into an investment account that provides an annual rate of return of 4.5% compounded monthly. Four withdrawals from the savings fund will be made to help pay for college expenses. The estimated need is $28,000 when the child turns 18 years old, $30,000 at 19 years, $34,000 at 20 years, and $38,000 at age 21. The last monthly payment to the investment occurs when the child turns 21. This is also the time that the last withdrawal is made. Determine the monthly deposit required to meet this goal.