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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).
The formula for the periodic payment amount is derived as follows. For an amortization schedule, we can define a function p t {\displaystyle p_{t}} that represents the principal amount remaining immediately after the t {\displaystyle t} -th payment is made.
This amortization schedule is based on the following assumptions: First, it should be known that rounding errors occur and, depending on how the lender accumulates these errors, the blended payment (principal plus interest) may vary slightly some months to keep these errors from accumulating; or, the accumulated errors are adjusted for at the end of each year or at the final loan payment.
Under this method, the company's fiscal year is defined as the final Saturday (or other day selected) in the fiscal year end month. For example, if the fiscal year end month is August, the company's year end could fall on any date from August 25 to August 31. In particular, the last fiscal week is the one that includes August 25 and the first ...
Also known as the "Sum of the Digits" method, the Rule of 78s is a term used in lending that refers to a method of yearly interest calculation. The name comes from the total number of months' interest that is being calculated in a year (the first month is 1 month's interest, whereas the second month contains 2 months' interest, etc.).
Month-to-date (MTD) is a period starting at the beginning of the current calendar month and ending on either the current date or the last business day before the current date. Month-to-date is used in many contexts, mainly for recording results of an activity in the time between a date (exclusive, since this day may not yet be "complete") and ...
For a coupon of 0%, where the principal amortizes linearly, the WAL is exactly half the tenor plus half a payment period, because principal is repaid in arrears (at the end of the period). So for a 30-year 0% loan, paying monthly, the WAL is 15 + 1 / 24 ≈ 15.04 {\displaystyle 15+1/24\approx 15.04} years.
The conventions are distinguished by the manner in which they adjust Date1 and/or Date2 for the end of the month. Each convention has a set of rules directing the adjustments. Treating a month as 30 days and a year as 360 days was devised for its ease of calculation by hand compared with manually calculating the actual days between two dates.
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