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  • This is possibly the dullest first post ever, but the generalised answer to "if i make a payment of this much, how many months will it take to pay off..." allowing for interest, is given by:

    =NPER(rate,pmt,pv)

    where:
    nper = number of periods
    rate = interest rate per period
    pmt = regular payment per period
    pv = present value (outstanding balance)

    Thus for £250,000 outstanding at 4% APR, paid off at £1500 a month

    =NPER(0.04/12, 1500, -250000)

    Gives you about 244 months, or 20 years 4 months. Note if you double the interest to 8% APR, you'll get an error, as the number of payments is infinite, i.e. the balance cannot be paid off.

    So you can put that formula in a column of a sheet which tracks actual outstanding balance based on actual payments.

  • well shit, that's much easier

  • That assumes regular payments to establish the final date tough, rather than an array of inputs (regardless of the outstanding balance being adjusted for actual payments)

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