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  2. Rule of 78s - Wikipedia

    en.wikipedia.org/wiki/Rule_of_78s

    The denominator of a Rule of 78s loan is the sum of the integers between 1 and n, inclusive, where n is the number of payments. For a twelve-month loan, the sum of numbers from 1 to 12 is 78 (1 + 2 + 3 + . . . +12 = 78). For a 24-month loan, the denominator is 300. The sum of the numbers from 1 to n is given by the equation n * (n+1) / 2.

  3. Continuous-repayment mortgage - Wikipedia

    en.wikipedia.org/wiki/Continuous-repayment_mortgage

    Define the "reverse time" variable z = T − t.(t = 0, z = T and t = T, z = 0).Then: Plotted on a time axis normalized to system time constant (τ = 1/r years and τ = RC seconds respectively) the mortgage balance function in a CRM (green) is a mirror image of the step response curve for an RC circuit (blue).The vertical axis is normalized to system asymptote i.e. perpetuity value M a /r for ...

  4. CUSUM - Wikipedia

    en.wikipedia.org/wiki/CUSUM

    In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University of Cambridge. It is typically used for monitoring change detection. [1] CUSUM was announced in Biometrika, in 1954, a few years after the publication of Wald's sequential probability ratio test ...

  5. Prefix sum - Wikipedia

    en.wikipedia.org/wiki/Prefix_sum

    Prefix sums are trivial to compute in sequential models of computation, by using the formula y i = y i − 1 + x i to compute each output value in sequence order. However, despite their ease of computation, prefix sums are a useful primitive in certain algorithms such as counting sort, [1] [2] and they form the basis of the scan higher-order function in functional programming languages.

  6. Mortgage calculator - Wikipedia

    en.wikipedia.org/wiki/Mortgage_calculator

    The fixed monthly payment for a fixed rate mortgage is the amount paid by the borrower every month that ensures that the loan is paid off in full with interest at the end of its term. The monthly payment formula is based on the annuity formula. The monthly payment c depends upon: r - the monthly interest rate. Since the quoted yearly percentage ...

  7. Formula calculator - Wikipedia

    en.wikipedia.org/wiki/Formula_calculator

    The formula calculator concept can be applied to all types of calculator, including arithmetic, scientific, statistics, financial and conversion calculators. The calculation can be typed or pasted into an edit box of: A software package that runs on a computer, for example as a dialog box. An on-line formula calculator hosted on a web site.

  8. Compound interest - Wikipedia

    en.wikipedia.org/wiki/Compound_interest

    Compound interest is interest accumulated from a principal sum and previously accumulated interest. It is the result of reinvesting or retaining interest that would otherwise be paid out, or of the accumulation of debts from a borrower.

  9. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    The trapezoidal rule is one of a family of formulas for numerical integration called Newton–Cotes formulas, of which the midpoint rule is similar to the trapezoid rule. ...