## Definition of Real Interest Rate

It is an indicator of the purchasing power of money in an economy. It takes into account the effects of inflation on the nominal interest rates. For example, a bank might offer a 4% interest rate on its savings account, but if the inflation rate is 5%, then an investor is actually losing his money by 1% per annum. Here 4% is the nominal interest rate, and -1% is the real interest rate. This implies the importance of real interest rate, which helps in analyzing the real return on investments compared to the nominal interest rates, which are misleading as most of the time, they provide an incomplete picture. In simple terms, it can be measured by calculating the current rate of inflation and deducting it from risk-free investments like treasury bonds.

### Real Interest Rate Formula

In mathematical form, the formula is as follow:

Where,

**R =**Real interest rate**r =**Nominal interest rate**i =**Rate of inflation

This is the formula of real interest rate that they are used in almost all financial calculations and analysis, and it is more simple and approx. The formula is used more often, illustrated as follows:

**Real Interest Rate = Nominal Interest Rate – Rate of Inflation**

This formula gives a direct and a better picture of the two interest rates and their relationship.

### Example of Real Interest Rate

Below is the example of Real Interest which is as follows:

#### Example #1

Let’s assume that you invest $1 million in a corporate deposit for 10 years which promises an 8% rate of interest per year. In ideal circumstances, this is the rate at which you can expect your money to grow. However, this is just a hypothetical scenario, as one has to take into account the pertaining inflation rate. For the sake of simplicity, let’s assume that for 10 years there was a constant inflation rate of 4%. This inflation is effectively eating your money as you might have been promised an 8% return, but year on year the purchasing power of that money is decreasing by 4%. Hence the real interest that you are getting on your investment is only 4% as derived from the below equation.

- Real Interest Rate = Nominal Interest Rate – Rate of Inflation
- = 8% – 4%
- =
**4%**

Diagrammatically, it can be illustrated as:

### Implications

Under normal circumstances, in a growing economy, Real Interest Rate (RIR) is positive. This essentially means that the economy is growing steadily and effectively countering the effects of inflation. In our example, even though the inflation was 4%, it was still manageable as we were getting an 8% return on investment. Central banks are more interested in RIR compared to nominal interest rates. Simply, because it is effectively a better measure of the purchasing power of people.

A high RIR is cheered by debt investors. This is because, in such a scenario, they are assured of a better return on their investments without taking any additional risk. However, the scenario is completely different for equity investors; this is because higher interest rates increase the cost of borrowing for corporates. This disturbs the leverage equilibrium, which puts pressure on profits, earnings per share, and eventually stock price. Also, because of the higher rates, more people are inclined to take out their money from equity markets and park them in less risky debt instruments, eventually decreasing the number of buyers and increasing the sellers. This also adds more pressure on the stock prices. This is where central banks have to act and maintain a balance else the growth rate of the economy takes a hit.

Unlike these scenarios, there might be a case when RIR is negative. This is quite scary as it suggests that economic growth is unable to counter inflation and the purchasing power of money is decreasing year on year. This might have a catastrophic effect as people will refrain from deposits, and banks will not have any money to lend out. This will lead to liquidity and credit crunch and the cost of borrowing will increase for the corporates which is going to affect the growth momentum. Additionally, the negative real interest rates will not only shun away foreign investors but also the domestic investors who will now look for investment opportunities elsewhere. All these factors will eventually further affect the growth of the economy, leading to a vicious circle.

It becomes imperative for an investor to understand the difference between the real interest rate and the nominal rate. It helps in understanding if an investment is worth investing in or not. At the macroscopic level, it helps in determining if the GDP growth numbers are as good as they look on paper. For example, consider a developing economy having a GDP growth rate of 8%. This looks promising compared to developed economies where the growth has stagnated, and the GDP is growing at a flat rate of 1- 2%. Global, as well as domestic investors, would like to infuse their money into the growing economy in anticipation of a better return on investments. However, there is a catch to it. What if the inflation rates are also too high say 7%. Now when this high growth rate is combined with the high inflation rate, the effective interest rate is only 1%. This completely changes the picture as an effective return on investment is meager. Though this might not affect the global investors in the short run, surely domestic investors will shun away. They would take out their money and look for opportunities elsewhere. In the long term, this will affect the flow of money in the economy as people will refrain from deposits in banks leading to a liquidity crunch which will impact the growth momentum and will start reflecting in the corporate balance sheets eventually impacting the economic growth cycle.

### Conclusion

As explained earlier, it is clear how nominal interest rates can be misleading. On the other hand, RIR provides a better picture, thereby helping incomplete financial analysis and calculation of the internal rate of return. An investor should always look at a real interest to understand if any financial instrument is attractive and satisfies their investing goals. A nominal interest rate is more about taking investments at their face value, while real interest rates are more about reading between the lines.

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This has been a guide to what is Real Interest Rate. Here we discuss how to calculate RIR Using the formula along with a practical example. You may also look at the following articles to learn more –