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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.
Present value. In economics and finance, present value ( PV ), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest -earning potential, a characteristic referred to as the time value of money ...
The net present value ( NPV) or net present worth ( NPW) [ 1] is a way of measuring the value of an asset that has cashflow by adding up the present value of all the future cash flows that asset will generate. The present value of a cash flow depends on the interval of time between now and the cash flow because of the Time value of money (which ...
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.
Future value. Future value is the value of an asset at a specific date. [1] It measures the nominal future sum of money that a given sum of money is "worth" at a specified time in the future assuming a certain interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function. [2]
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.
The denominator of a Rule of 78s loan is the sum of the integers between 1 and n, inclusive, where n is the number of payments. For a twelve-month loan, the sum of numbers from 1 to 12 is 78 (1 + 2 + 3 + . . . +12 = 78). For a 24-month loan, the denominator is 300. The sum of the numbers from 1 to n is given by the equation n * (n+1) / 2.
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).