You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.

The question is incomplete. The complete question is :

You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.

Regular withdrawal    $ 2200

Interest rate                        2%

Frequency                   Monthly

Time                                20 years

Solution :

Given :

Monthly withdrawal = $ 2200

Interest rate = 2%

Frequency = monthly

Time = 20 years

        = 20 x 12 = 240 months

Formula used :

        with Z = 1 + r

where, w = monthly withdrawal

P = principal amount

r = monthly interest rate

Y = Number of months

So, w = 2200

     r = 2% = 0.02

     Z = 1 + r

        = 1 + 0.02 = 1.02

Y = 240

Therefore,

   = 111,231829

   ≈ 111,232 (rounding off)

Thus, the account balance = $ 111,232

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