Concept

Simple Annual Interest Rate in Money Markets


Yet another way to express loan returns is with a simple annual interest rate or annual percentage rate (APR), which is calculated using the following equation:

๐‘Ÿ๐‘Ÿ(๐‘ ๐‘ ) = 1 ๐‘‡๐‘‡๏ฟฝ๐‘‹๐‘‹๐‘‡๐‘‡๐‘‹๐‘‹0 โˆ’1๏ฟฝ (11)

These rates are called simple, is because we do not use the mathematical idea of compounding interest. Equation (11) is determined according to a straightforward mathematical expression relating ๐‘‹๐‘‹๐‘‡๐‘‡ and ๐‘‹๐‘‹0:

๐‘‹๐‘‹๐‘‡๐‘‡ = ๐‘‹๐‘‹0(1 + ๐‘Ÿ๐‘Ÿ(๐‘ ๐‘ )๐‘‡๐‘‡) (12)

This is simpler than the exponential functions involved in Equations (5) and (9).

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