Question: Joan Johnson and Steve Smith, two mechanical engineers working for the ACME Machine Company were having lunch together one day. They were lamenting the fact

Joan Johnson and Steve Smith, two mechanical engineers working for the ACME Machine Company were having lunch together one day. They were lamenting the fact that the United States Social Security fund may not be solvent when they retire, leaving a financial hole in their retirement plans. It turns out that the ACME Machine Company has a pretty good pension plan for retirees. However, Joan and Steve would like to have an additional $2,000 per month on top of their pensions when they retire. To make sure that enough money is available, they both anticipate their life span to be 95 years (both having genetic longevity in their family lines). They both plan to retire at age 65. Joan’s current age is 25. Steve is 32 years old. They have identified an investment opportunity that is estimated to earn 4% annually, compounded monthly. Determine how much money Joan and Steve must deposit into their investment accounts monthly, from now until retirement age, to attain their goal.

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