Formula library

Real Interest Rate (Fisher Approximation)

\[r=i-\pi\]

Variables

rreal interest rate (%)
inominal interest rate (%)
pi[π]inflation rate (%)

Description

What is this formula?


The Fisher Approximation estimates the real interest rate by subtracting the inflation rate from the nominal interest rate.


It provides a simple way to measure the increase in purchasing power generated by an investment or loan.


When to use it


Use this formula when inflation is relatively low and a quick estimate of the real interest rate is sufficient.


It is commonly used in economics, finance, and monetary policy discussions.


Example


Nominal interest rate:


i = 8%


Inflation rate:


π = 3%


Formula:


r = i − π


Substitution:


r = 8 − 3


r = 5%


Result:


The estimated real interest rate is 5%.


Applications


- Monetary policy analysis

- Investment evaluation

- Bond market analysis

- Economic forecasting

- Financial education


Note


This formula is an approximation proposed by Irving Fisher. It is highly accurate when inflation rates are relatively small. For higher inflation environments, the exact Fisher equation provides a more precise result because it accounts for compounding effects.

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