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A lack of notation means payments are made at the end of the year of death. A figure in parentheses (for example ()) means the benefit is payable at the end of the period indicated (12 for monthly; 4 for quarterly; 2 for semi-annually; 365 for daily).
It is the compound interest payable annually in arrears, based on the nominal interest rate. It is used to compare the interest rates between loans with different compounding periods. In a situation where a 10% interest rate is compounded annually, its effective interest rate would also be 10%. [1]
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.
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.
Annuity due: Payments are due at the beginning of the period. This seemingly minor difference in timing can impact the future value of an annuity because of the time value of money .
Payment in arrear is a payment made after a service has been provided, as distinct from in advance, which are payments made at the start of a period. [2] For instance, rent is usually paid in advance, but mortgages in arrear (the interest for the period is due at the end of the period).
The interest rate must necessarily coincide with the payment period. If not, either the payment period or the interest rate must be modified. For example, if the interest rate given is the effective annual interest rate, but cash flows are received (and/or paid) quarterly, the interest rate per quarter must be computed.
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