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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.
Rate of return. In finance, return is a profit on an investment. [1] It comprises any change in value of the investment, and/or cash flows (or securities, or other investments) which the investor receives from that investment over a specified time period, such as interest payments, coupons, cash dividends and stock dividends.
Internal rate of return. Internal rate of return ( IRR) is a method of calculating an investment 's rate of return. The term internal refers to the fact that the calculation excludes external factors, such as the risk-free rate, inflation, the cost of capital, or financial risk . The method may be applied either ex-post or ex-ante.
The accumulation function a ( t) is a function defined in terms of time t expressing the ratio of the value at time t ( future value) and the initial investment ( present value ). It is used in interest theory. Thus a (0)=1 and the value at time t is given by: where the initial investment is. For various interest-accumulation protocols, the ...
Sustainable finance. v. e. The yield to maturity ( YTM ), book yield or redemption yield of a fixed-interest security is an estimate of the total rate of return anticipated to be earned by an investor who buys it at a given market price, holds it to maturity, and receives all interest payments and the capital redemption on schedule. [1] [2] It ...
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.
Example notation Interest rates. is the annual effective interest rate, which is the "true" rate of interest over a year.Thus if the annual interest rate is 12% then =. (pronounced "i upper m") is the nominal interest rate convertible times a year, and is numerically equal to times the effective rate of interest over one th of a year.
The modified internal rate of return ( MIRR) is a financial measure of an investment 's attractiveness. [1] [2] It is used in capital budgeting to rank alternative investments of equal size. As the name implies, MIRR is a modification of the internal rate of return (IRR) and as such aims to resolve some problems with the IRR.