Multi-period or Semi-annual and other compounding

Normally interest rate is expressed for a year. In case, com-pounding is done semi-annually or quarterly or monthly or weekly, interest rate & compounding to be adjusted accordingly to alter the number of time periods. The formula FVn = (1+r)n will get altered as below:

Image 26

Where m is the number of compounding per year

The interest rate specified on annual basis is known as the Nominal Interest Rate. If compounding done in a year is more than once, the actual rate of interest is called the

Effective Interest Rate (EIR) /Annual Percentage Rate (APR), which can be ascertained as below:

Image 27

Similar to Future Value, Present Value of cash flows more than once a year can be discounted with the following formula:

Image 28
Present (or Discounted) Value
Net Present Value

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