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Mortgage calculators are frequently on for-profit websites, though the Consumer Financial Protection Bureau has launched its own public mortgage calculator. [ 3 ] : 1267, 1281–83 The major variables in a mortgage calculation include loan principal, balance, periodic compound interest rate, number of payments per year, total number of payments ...
An amortization calculator is used to determine the periodic payment amount due on a loan (typically a mortgage), based on the amortization process. [ 1 ] The amortization repayment model factors varying amounts of both interest and principal into every installment, though the total amount of each payment is the same.
An amortization schedule is a table detailing each periodic payment on an amortizing loan (typically a mortgage), as generated by an amortization calculator. [1] Amortization refers to the process of paying off a debt (often from a loan or mortgage) over time through regular payments. [2]
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.
The formula for EMI (in arrears) is: [2] = (+) or, equivalently, = (+) (+) Where: P is the principal amount borrowed, A is the periodic amortization payment, r is the annual interest rate divided by 100 (annual interest rate also divided by 12 in case of monthly installments), and n is the total number of payments (for a 30-year loan with monthly payments n = 30 × 12 = 360).
Each monthly prepayment is assumed to represent full payoff of individual loans, rather than a partial prepayment that leaves a loan with a reduced principal balance. Variations of the model are expressed in percent, e.g., "150% PSA" means a monthly increase of 0.3% in the annualized prepayment rate, until the peak of 9% is reached after 30 months.