Real return vs nominal return: How do they differ from one another? Suppose that an asset yields a return of 50% over a year. So, if you invest $10,000 today, your investment grows to $15,000 by the end of the year. Sounds not too bad, right? But, imagine that the inflation rate over the course of the year was 60% (this is highly unlikely in most economies, but just imagine). Then, the asset no longer looks so appealing as the return it offers fails to keep up with the rate of inflation!

__Learning objectives__

- Understand the impact of inflation on return calculations.
- Learn to calculate the real rate of return using the nominal rate of return and inflation rate.

**Jump to:**

## Inflation eats into your returns

The example given at the beginning of this post shows the importance of adjusting returns for the loss of purchasing power due to the inflation in prices. This is less of an issue when the rate of inflation is low (say less than 2-3%) but makes a real difference in countries with high rates of inflation (or even hyperinflation).

In general, we refer to the rate of return that is unadjusted for the rate of inflation as the **nominal return** and the one that is adjusted as the **real return**. So, in our example, the nominal return is 50%. But, how do we calculate the real return, given that the inflation rate is 60%?

## Real return vs nominal return and their relation to inflation

The relation between the nominal return *R _{n}*, real return

*R*, and the inflation rate

_{r}*I*is governed by the following equation:

*1 + R _{n }= (1 + R_{r})(1 + I)*

If we plug *R _{n }= 50% *and

*I = 60%*, we get:

*1 + 50%= (1 + R _{r})(1 + 60%)*

*1.5 = (1 + R _{r})(1.6)*

*R _{r} = 1.5 / 1.6 − 1 = −6.25%*

This means that while the asset offers a quite high nominal return (50%) because the inflation rate is even higher (60%), we would lose money in real terms (* −6.25%*) if we invested in this asset. However, if the inflation rate was low, say 2%, the asset would offer a very attractive real rate of return:

*1 + 50%= (1 + R _{r})(1 + 2%)*

*1.5 = (1 + R _{r})(1.02)*

*R _{r} = 1.5 / 1.02 — 1 = 47%*

Note that so long as the inflation rate is positive, the real return is always smaller than the nominal return as it accounts for the rate of inflation.

When the rate of inflation is low, the real return is approximately the difference between the nominal return and the inflation rate (the Fisher equation):

*R _{r }≈ R_{n} − I*

So, when the inflation rate is 2%, we have:

*R _{r }≈ 50% − 2%*

*R _{r }≈ 48%*

This is indeed close to the exact figure of 47% we calculated above.

##### Summary

The presence of price inflation in an economy forces us to take that into account in our return calculations. And, that leads to the following distinction: Real return vs nominal return. While nominal returns are unadjusted for inflation, real returns are. Moreover, the latter can be much lower than the former when the inflation rate is high. If you are interested in learning more about the distinction between nominal returns and real returns, you can check the further reading below.

Further reading on real return vs nominal return:

Crowder and Hoffman (1996) ‘The Long-Run Relationship between Nominal Interest Rates and Inflation: The Fisher Equation Revisited‘, *Journal of Money, Credit and Banking*, Vol. 28 (1), pp. 102-118.

##### What is next?

This post is part of the series on investments. In the next post, we explain how to calculate holding period returns.

The previous post covered basic return calculations, introducing concepts such as gross return and net return. Please share this post with your friends and connections if you enjoyed reading it. Also, please leave a comment below if you noticed any errors or have any suggestions/questions.