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You currently have $15,000 to start investing and also have a stable career, so you plan to work for 40 years and then retire; your retirement life is expected to last another 20 years. According to your plan, besides $15,000 initial contribution today, by the end of each working year you need to contribute an extra equal amount of money into your retirement fund until the day you retire. Your retirement fund balance is expected to earn an annual nominal (i.e., inflated) return of 9.71% on average in the US financial market over time.
Problem 1: To meet all above future financial needs as planned, from now till the day of your retirement, what should be the equal (not growing) nominal amount for you to contribute each working year?
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