Real Risk-free Rate
Also written Real risk free rate of return · Pure rate of interest
The basic return an investor demands purely for postponing consumption, assuming no inflation and no uncertainty about future cash flows — the pure time value of money.
In plain language
Strip away inflation. Strip away any chance that the money will not come back. What is left is the reward for one thing only: waiting.
That reward is the real risk-free rate. If you lend ₹100 today to someone who will certainly repay, and prices will not change at all, you still want back a little more than ₹100 — because you gave up the chance to use that money now. The workbook calls the exchange rate between current and future consumption the pure rate of interest, and the compensation for postponing consumption the pure time value of money.
It is the bottom layer of every other return an investor requires.
How it works
Chapter 1 gives two worked numbers:
- An investor postpones consumption worth ₹1,000 today for guaranteed future consumption worth ₹1,020. The pure rate of interest is (1,020 − 1,000) / 1,000 = 2%.
- An investor gives up ₹100 today for ₹102 a year later, risk-free, with expected inflation of zero. The real risk-free rate is (102/100) − 1 = 2%.
What sets it. The workbook says the real risk-free rate is determined by the interaction of:
- Subjective factors — people's desire for current consumption; and
- Objective factors — the investment opportunities available in the economy, which in turn depend on the real growth rate of the economy.
How it relates to the nominal rate. Add expected inflation to get the nominal risk-free rate. Chapter 1 puts it both ways: the real rate "when adjusted for inflation is referred as nominal risk-free rate", and, working backwards, "from the nominal risk free rate of return, inflation rate can be subtracted to calculate the real risk free rate of return".
A worked example
Kavita has ₹10 lakh she does not need for a year. The ₹10 lakh and the 5% deposit rate are illustrative; the 2% and 6% are the workbook's.
Scenario 1 — no inflation. A perfectly safe borrower offers her ₹10,20,000 in a year. Her real risk-free return is 2%. With prices flat, she can buy 2% more goods next year.
Scenario 2 — 6% inflation. Prices rise 6%. To keep her 2% real reward, she needs:
₹10,00,000 × 1.02 × 1.06 = ₹10,81,200 — a nominal return of 8.12%.
Scenario 3 — a 5% deposit when inflation is 6%. She receives ₹10,50,000, which looks like a gain of ₹50,000. But goods costing ₹10,00,000 today cost ₹10,60,000 next year. In real terms she has gone backwards by roughly 1%. The workbook's warning applies exactly: if investors do not add inflation to their required return, they "would be losing money in the real sense rather than getting a real rate of return".
Why NISM asks about it
Chapter 1 (Investments), section 1.4 and sub-section 1.4.1, "Nominal risk-free rate, real risk-free rate, and expected inflation". Expect definitional questions (no inflation, no uncertainty, compensation for postponing consumption) and short numerical ones built on the ₹1,000 → ₹1,020 and ₹100 → ₹102 examples. Questions on what determines the real rate — consumption preference versus investment opportunities and real growth — are a natural L3 item.
Common exam traps
- Real risk-free rate assumes both no inflation and no uncertainty. Drop either assumption and you are no longer talking about the real risk-free rate.
- Real is the lower layer; nominal sits on top. Nominal = real + inflation, not the other way round.
- Subtract inflation from nominal to get real — the workbook's own direction for backing it out.
- It is not set by the government or RBI in the workbook's framework. It comes from the interaction of consumption preference and the economy's real growth.
- Do not confuse it with the risk premium. The real rate pays for waiting; the risk premium pays for uncertainty.
- The 2% examples are pure-waiting examples. A 2% figure in a question with inflation mentioned is a trap for the nominal rate.
Where this is taught
- Series XXI-B · Chapter 1: Investment Landscapeintroduced here
- Series XIX-C · Chapter 1: Investments Landscapeintroduced here
- Series XIX-E · Chapter 1: Investments Landscapeintroduced here
- Series XXI-A · Chapter 1: Investmentsintroduced here
- Series XIX-D · Chapter 1: Investments Landscapeintroduced here
Related terms
- InflationA sustained general rise in the price level, which erodes what a rupee buys — and the reason a nominal return has to be deflated before it means anything.
- Real interest rateThe nominal rate adjusted for inflation — what the lender actually gains in purchasing power, and a number that turns negative whenever inflation runs above the coupon.
- Time value of moneyThe principle that the same sum of money is worth different amounts at different points on a timeline, because money held today can be invested and because inflation erodes what it will buy.
- Nominal Risk-free RateThe return on an investment whose amount and timing are certain, before adjusting for inflation: the real risk-free rate plus compensation for expected inflation.
- Required Rate of ReturnThe minimum return an investor expects before committing money: the nominal risk-free rate plus a risk premium. It is not a guaranteed, forecast or realised return.
- Risk-free AssetAn asset whose return is certain: zero standard deviation, zero correlation with every risky asset, earning the risk-free rate and plotting on the vertical axis of a risk-return graph.