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You take out a 25-year $210,000 mortgage loan with an APR of 12% and monthly payments. In 16 years you decide to sell your house and pay off the mortgage. What is the principal balance on the loan?

  • finance -

    First we need the monthly payment, let it be P
    P(1 - 1.01^-300)/.01 = 210000
    P = $2211.18

    amount owing after 16 years
    = 210000(1.01)^192 - 2211.18(1.01^192 - 1)/.01
    = $146,002.35

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