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Stock market foundationsModule 1, lesson 5 of 29

Nominal and real returns

How to turn a nominal return into a real return after inflation, why subtracting inflation is only an approximation, and why real returns are what count.

Time
6 min read
Level
Beginner
Updated

In this lesson

  • Define nominal and real returns and explain why they differ.
  • Calculate an exact real return from a nominal return and an inflation rate.
  • Explain when the quick "return minus inflation" shortcut is good enough.
  • Show how tax and inflation together can turn a positive return into a loss of buying power.
  • Plan a future goal in today's rupees and convert it into future rupees.

Builds on

On this page
  1. In simple terms
  2. The formula
  3. Why the shortcut breaks down
  4. Tax comes out before inflation
  5. Compare in real terms
  6. Planning a goal in real terms
  7. Why it matters
  8. Limitations
  9. Common mistakes
  10. Try it yourself

In simple terms

The nominal return on an investment is how much it grew in rupees. The real return is how much it grew in buying power, after allowing for the rise in prices over the same period.

If your money grows 7% in a year but prices rise 5%, you have more rupees, but you can only buy about 2% more than before. That 2% is the real return, and it is the number that tells you whether you are actually getting richer.

The formula

Real return

Real return = (1 + nominal return) ÷ (1 + inflation rate) − 1

Write both rates as decimals, so 7% is 0.07. A quick approximation is: real return ≈ nominal return − inflation rate.

Worked example: A deposit at 7% when prices rise 5%

Nominal return7%
Inflation5%
Exact real return: 1.07 ÷ 1.05 − 11.90%
Shortcut: 7 − 52.00%

The shortcut is close here. It overstates the real return a little, and the gap grows when inflation and returns are high.

Why the shortcut breaks down

The exact formula divides because inflation shrinks the value of the whole amount, including the gain. When rates are small, subtracting gives almost the same answer. When they are large, the difference matters:

Nominal returnInflationShortcutExact real return
7%5%2.0%1.90%
12%6%6.0%5.66%
10%9%1.0%0.92%
4%6%−2.0%−1.89%

The last row is a negative real return: the balance grew, but it buys less than before.

Tax comes out before inflation

Tax is charged on the nominal return, not the real one. So the order is: earn the nominal return, pay tax on it, and then inflation reduces what the rest can buy.

Worked example: The same deposit, after tax

Suppose tax takes 20% of the interest. This rate is only an assumption for the example; the tax you actually pay depends on your income and the rules in force.

Nominal return7.0%
After 20% tax on the interest: 7.0 × 0.85.6%
Real return after tax: 1.056 ÷ 1.05 − 10.57%

A 7% deposit leaves a real gain of barely half a percent. With slightly higher inflation or tax, it would be a real loss.

Compare in real terms

Nominal returns are misleading when inflation differs between periods or countries. A 10% return when prices rise 9% a year gives a real return of about 0.9%. A 6% return when prices rise 2% gives about 3.9%. The smaller number in rupees is the better result. Whenever you compare returns from different times, convert them to real returns first.

Over many years, the gap compounds:

Worked example: Twenty years at 9%, with 5% inflation

₹1,00,000 after 20 years at 9%: 1,00,000 × 1.09^20₹5,60,441
Prices after 20 years at 5% inflation: 1.05^202.65 times today's
Buying power in today's rupees: 1,00,000 × (1.09 ÷ 1.05)^20₹2,11,224

The balance grows more than five-fold in rupees, but only about doubles in what it can buy.

Planning a goal in real terms

The simplest way to plan for a future cost is to price it in today's rupees, then convert it into future rupees with the inflation you expect for that kind of spending. A goal that costs ₹5,00,000 today would cost about ₹11,98,000 in 15 years if its price rose 6% a year (5,00,000 × 1.0615). Particular costs, such as school fees or medical treatment, can rise faster or slower than the average, so use a rate that fits the goal rather than the headline figure alone. The real return calculator does both conversions.

Why it matters

Every return you see, from deposit rates to fund performance and headline index gains, is quoted in nominal terms. Real returns tell you whether your money is actually growing. They also explain why keeping long-term savings entirely in low-return deposits can be risky in its own way: it can mean a slow, steady loss of buying power.

Limitations

  • Future inflation is unknown. Any real return worked out in advance depends on a guess about inflation.
  • The official inflation rate is an average basket. Your own costs may rise faster or slower.
  • Investments with higher expected real returns also carry more risk. A good real return in the past does not guarantee one in future.
  • The examples assume a single tax rate. Real tax rules differ by investment, holding period and income, and they change.

Common mistakes

  • Celebrating a high return when inflation is also high. Look at the real return.
  • Using the shortcut when rates are high. The exact formula matters when returns or inflation are large.
  • Forgetting tax. Real returns after tax can be close to zero or negative for safe investments.
  • Planning goals in today's prices. A future cost needs to be inflated to the year you will pay it.

Try it yourself

  1. Find the interest rate on a one-year fixed deposit at any bank and the latest CPI inflation figure from MoSPI.
  2. Work out the exact real return with the formula above.
  3. Assume a tax rate on the interest, and work out the real return after tax.
  4. Price one goal in today's rupees, such as a two-wheeler or a course fee, and work out its cost in ten years at 6% inflation. Check your answer with the real return calculator.

Key takeaways

  • A nominal return is the change in rupees. A real return is the change in what those rupees can buy.
  • Exact real return = (1 + nominal return) ÷ (1 + inflation) − 1. Nominal minus inflation is a close shortcut when both are small.
  • Tax is charged on the nominal return, so tax and inflation together can leave a negative real return.
  • Compare investments, and plan goals, in real terms. A 10% return with 9% inflation is worse than 6% with 2% inflation.
  • A goal that costs ₹5 lakh today will cost much more in rupees by the time you need it.

Check your understanding

A deposit pays 7% a year and inflation is 5%. What is the exact real return?

Try the numbers yourself

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Terms used in this lesson

Nominal return
The return on an investment measured in rupees, before allowing for inflation.
Real return
The return on an investment after allowing for inflation, which shows how much more you can actually buy.
Inflation
The general rise in prices over time, which reduces how much a given amount of money can buy.
Purchasing power
How much a sum of money can actually buy. Inflation reduces it even when the number of rupees stays the same.

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This lesson is general education, not investment advice. Examples use made-up or clearly dated figures to explain ideas; they are not recommendations. Read the disclaimer.