Reference no: EM132207849

Assignment - Answer all questions - show all work using engineering problem methodology. Neatly drawn cash flow diagrams are optional (but may be helpful). (You may use the reverse side for work - however it must be labeled and clearly organized for consideration)

Charlie is 30 years old and would like to maximize the amount of money he can deposit into his retirement account, however he is limited in the amount he can deposit. The IRS limits the maximum deposit amount and he has leftover student debt that also limits his deposit rate. The IRS limit is $18,500 today and is expected to rise by the cost of inflation at 2.5% per year. Because of his student debt Charlie can only deposit $6,000 per year for the first six years. On year seven he will be able to deposit the maximum allowable amount by the IRS into his account and is expecting to do so for 20 consecutive years. The expected rate of return on his account is depositing 8% per year compounded annually.

a. What is the maximum deposit he will be allowed by the IRS in year seven?

b. How much money will have accumulated in his account after 26 years?

c. Since he can only begin withdrawing from his retirement account after age 59 and he expects to live to the average life expectance of 88 years, what is the equivalent uniform annual amount he can withdraw from this account if he expects to withdraw this account completely over his remaining life expectancy?