Question 21.78

image 48. We continue the circumstances of Exercise 47. Instead of saving $100 per month—money on which you have already paid taxes, “after-tax” dollars—you have the alternative option offered in the tax code of participating in a tax-deferred retirement account (TDA), either through payroll deduction at work [e.g., as part of a 401(k) plan] or through an independent retirement account (traditional IRA). The money that goes into such a fund consists of “pre-tax” dollars: You do not pay tax on the money until you withdraw it (usually at retirement). Since you don’t pay income tax on the money as you put it in, you can actually put in more than $100 per month while reducing your take- home pay by only $100.

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  1. How much can you put into the retirement fund each month if you reduce your take-home pay by exactly $100?
  2. How much will be in your fund at age 65 if you can get a steady return of 6% compounded monthly?
  3. Suppose that when you turn 65, you withdraw the entire amount in your account and pay the deferred taxes that are owed on it, say a total of 32% (federal, state, and local combined). How much do you net?