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Emma and James would like to save enough money to pay for themselves to enter in assisted living facilities someday when they are old and

Emma and James would like to save enough money to pay for themselves to enter in assisted living facilities someday when they are old and disabled.  The total cost for both of them to be in assisted living today is $82,000 per year.  Assume that this cost inflates at 2.5% per year.  Also assume that they would probably enter assisted living 35 years from now and would remain in the assisted living facility for a period of 15 years after which they both plan to die on the same day (together to the end).  Assuming their assisted living fund will earn 7.5% per year, during the time they are in the assisted living facility, how much money will they have to have on hand on the day they enter assisted living, in order to make the necessary inflation-adjusted annual withdrawals (they will take out 2.5% more each year than the prior year) needed to fund the assisted living?

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