Mathematics of Individual Finance
In the days before computers, it was common for banks to compound only annually, and customers who withdrew funds before the anniversary of their deposit would often forego interest for that entire year. With computers available everywhere, interest is often compounded and credited to the account on a daily basis. However, quarterly, monthly and even weekly compounding may still be found.
To calculate the future value of a present sum which is compounded more than once a year, you need to multiply the number of annual periods by the number of times the interest is compounded in a year.
n = number of years x number of compounding periods in a year
You must also divide the annual rate of interest by that same number of compounding periods in a year.
r = annual rate of interest / number of compounding periods in a year
You will note on Table A-3 that 1.1268 is the future value interest factor.
However, you will also note that the use of the table is limited by the fact that only
whole rates of interest are given. If we were to compound other than quarterly,
semi-annually or annually, we would not be able to use the table without difficult
and inexact interprelation.
On a finance calculator [12 N 1 %i 11280
PV CPT FV] the answer is $12,710.59, demonstrating the sizeable
rounding errors generated by use of the tables.
More Frequent Compounding
FV12 = $11,280(1.01)12
= $11,280(1.1268) = $12,710.30 
![[Effective Annual Interest Rate]](eair.jpg)

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