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The effective interest rate ( EIR ), effective annual interest rate, annual equivalent rate ( AER) or simply effective rate is the percentage of interest on a loan or financial product if compound interest accumulates in periods different than a year. [ 1] It is the compound interest payable annually in arrears, based on the nominal interest rate.
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] A portion of each payment is for interest while the ...
Amortization calculator. An amortization calculator is used to determine the periodic payment amount due on a loan (typically a mortgage ), based on the amortization process. 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.
Equivalent annual cost. In finance, the equivalent annual cost ( EAC) is the cost per year of owning and operating an asset over its entire lifespan. It is calculated by dividing the negative NPV of a project by the "present value of annuity factor": , where. where r is the annual interest rate and. t is the number of years.
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables . Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter. Example notation using the halo system can be seen below.
In finance, the weighted-average life (WAL) of an amortizing loan or amortizing bond, also called average life, [ 1][ 2][ 3] is the weighted average of the times of the principal repayments: it's the average time until a dollar of principal is repaid. In a formula, [ 4] where: is the time (in years) from the calculation date to payment . If ...
The force of interest is less than the annual effective interest rate, but more than the annual effective discount rate. It is the reciprocal of the e -folding time. A way of modeling the force of inflation is with Stoodley's formula: δ t = p + s 1 + r s e s t {\displaystyle \delta _{t}=p+{s \over {1+rse^{st}}}} where p , r and s are estimated.
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 ...