After analyzing their social securities statements, Charles and Susan are not so sure that their social security benefits will be enough to cover their estimated monthly expenses if they are planning to retire at age 66.
The Smiths are considering opening an IRA account in 2016, after researching the pros and cons of each retirement account; they decided that Roth IRA will fit with their retirement goals. Based on the current IRS regulations, the limit for annual contributions for “Married filling jointly” and Income limit of $183,000 or less is $5,500 for 2016, and $6,500 for people over 50.
Questions:
1. Calculate the total future worth of their Roth IRA account right on their 65th birthday (Normal retirement age) if Charles and Susan will deposit the maximum contribution amount allowed by IRS of $5,500 every year starting at the end of 2016 (age 40) and for the next 9 years (age 49), and then they are planning to increase their contribution to $6,500 for the next ten years (starting age 50) until they are both 65 years old. Assume the couple will not withdraw any money from their IRA during the next 25 years and the Roth IRA account will earn a) 4% and b) 6% per year.
2. The Smith’s forecasted their retirement expenses to be $24,000 starting one year after their retirement age (65 years old). Ignoring any Social Security Benefit. In other words, assuming their $24,000 annual expenses will be funded only with distributions from their Roth IRA (Future worth calculated on question 1). How long will they be able to withdraw $24,000 before exhausting all their IRA funds, assuming a Roth IRA account will earn in average account will earn a) 4% and b) 6% per year?
3. What is the maximum amount of money they can withdraw every year out of the Roth IRA account in order to deplete all the funds by their 85th birthday (use n=20 years in your calculations) Assuming a Roth IRA account will earn in average a) 4% and b)6% per year?