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Kathy fields wants to buy a condominium selling for $95,000. The bank is requiring 20% down and is charging 9.5% interest for a 25 year loan. determine the amount required down payment and the amount of the monthly payment for the principal and interest.

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Answer:

The down payment is 19000 and monthly payment is 664.009

Explanation:

The purchase price of condominium = $95000

Down payment = 20%

Interest charged  = 9.5 %

Time period = 25 years

Down payment amount =  95000 × 20% = 19000

Remaining loan amount = $76000

Below is the calculation of monthly payment:

[tex]\text{Present vlaue of annuity} =\frac{A(1-(1+r)^{-n})}{r} \\A = monthy \ installment \\76000 = \frac{A(1-(1+ 0.095/12)^{-25\times 12})}{ 0.095/12} \\A(0.906112) = 601.667 \\A = 664.009[/tex]

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