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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.
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.
Duration gap. In Finance, and accounting, and particularly in asset and liability management (ALM), the duration gap is the difference between the duration - i.e. the average maturity - of assets and liabilities held by a financial entity. [1] A related approach is to see the "duration gap" as the difference in the price sensitivity of interest ...
Accrued interest. In finance, accrued interest is the interest on a bond or loan that has accumulated since the principal investment, or since the previous coupon payment if there has been one already. For a type of obligation such as a bond, interest is calculated and paid at set intervals (for instance annually or semi-annually).
Accounting equation. The fundamental accounting equation, also called the balance sheet equation, is the foundation for the double-entry bookkeeping system and the cornerstone of the entire accounting science. Like any equation, each side will always be equal. In the accounting equation, every transaction will have a debit and credit entry, and ...
Contents. Capital recovery factor. A capital recovery factor is the ratio of a constant annuity to the present value of receiving that annuity for a given length of time. Using an interest rate i, the capital recovery factor is: where is the number of annuities received. [1] This is related to the annuity formula, which gives the present value ...
For example, assume a party buys $100 of a 10-year fixed-rate treasury bond and enters into a fixed-for-floating 10-year interest rate swap to convert the payments to floating rate. The derivative is off-balance sheet, so it is ignored for accounting leverage. Accounting leverage is therefore 1 to 1.
My understanding of the relation between effective (i) and nominal (r) interest rate is e^r=(1+(i/n))^n. I see 1+(i/n) as the base b such that e^r=b^n. This is important because it allows any discrete calculation of interest in terms of (i) to be expressed as a continuous calculation in terms of base e and nominal interest rate (r).