Nominal Risk-free Rate
Also written Nominal risk free rate of return · NRR
The return on an investment whose amount and timing are certain, before adjusting for inflation: the real risk-free rate plus compensation for expected inflation.
In plain language
The nominal risk-free rate is the rate you are certain to receive, in rupees, on the due date. Certain in amount, certain in timing.
What it does not promise is purchasing power. You will definitely get ₹105 back on ₹100 — but there is no guarantee that ₹105 next year will buy what ₹100 buys today. So the nominal rate is made of two parts: the real reward for waiting, plus a top-up for the inflation expected over the period.
The workbook says government securities, "with some caveats", fit this pattern. It is the starting line from which every riskier investment's required return is built.
How it works
Chapter 1 gives the exact and approximate forms.
Exact: NRR = [(1 + real rate of return) × (1 + expected rate of inflation)] − 1
With a 2% real rate and 6% inflation: (1.02 × 1.06) − 1 = 8.12%.
Approximate (for small values): nominal risk-free rate = real risk-free rate + inflation = 2% + 6% = 8%.
The ₹100 illustration. An investor puts ₹100 in at a risk-free rate of 5%. Future value = ₹100 + (₹100 × 5%) = ₹105. Present value of a certain ₹105 a year away = ₹105 / 1.05 = ₹100. The workbook calls that 5% "also referred as nominal risk-free rate of return", because it ignores the potential change in the rupee's purchasing power.
The next layer. Add a risk premium and you have the required rate of return. If the return from an investment is uncertain — in amount or timing — the extra compensation over the nominal risk-free rate is the risk premium, and the higher the risk, the higher the premium.
The formula
NRR = [(1 + Real risk-free rate) × (1 + Expected inflation)] − 1
Approximation: NRR ≈ Real risk-free rate + Expected inflation
A worked example
Anil is comparing three one-year choices for ₹20 lakh. Rupee amounts and the 11% bond are illustrative; the 2%, 6% and 8.12% come from Chapter 1.
| Option | Amount certain? | Timing certain? | What its return represents |
|---|---|---|---|
| Treasury bill | Yes | Yes | Nominal risk-free rate |
| AAA corporate bond at 11% | Promised, not certain | Promised, not certain | Nominal risk-free rate + risk premium |
| Equity fund | No | No | Much larger risk premium required |
If the market's real rate is 2% and expected inflation 6%, the Treasury bill should offer about 8.12%: ₹20,00,000 × 1.0812 = ₹21,62,400.
The corporate bond at 11% is paying him about 2.88 percentage points above the nominal risk-free rate. That extra is its risk premium — his compensation for the possibility, however small, that the issuer pays late or not at all. Whether 2.88 points is enough depends on his required rate of return, which is a judgement about risk, not arithmetic.
Why NISM asks about it
Chapter 1 (Investments), sections 1.4, 1.4.1 and 1.4.2. The chapter's first sample question tests the layer above it: "if there is an uncertainty with respect to the future payment, the investor would require return more than the nominal required rate of return. The additional component is called ___" — the answer is risk premium. Chapter 4's first sample question approaches it from the product side: Central Government securities carry practically no risk of default, and hence are called risk-free or gilt-edged. Chapter 10 uses a risk-free rate (5.50% in its Sharpe example) as the base for excess return.
Common exam traps
- Nominal risk-free does not mean inflation-proof. It is certain in rupees, not in purchasing power.
- 8.12% is the exact answer; 8% is the approximation. Pick the one the question's method implies.
- Risk premium sits above the nominal rate, not above the real rate.
- "Risk-free" means no uncertainty in amount and timing — the workbook's test. It does not mean no price volatility if sold before maturity.
- Government securities fit the pattern "with some caveats" — the workbook does not claim they are perfectly risk-free in every sense.
- Future value depends on both time period and rate of return — Chapter 1's second sample question; the answer is "both".
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.
- Government SecurityA tradeable debt instrument issued by the Central Government or a State Government — treated as free of default risk, and the benchmark against which other rupee interest rates are priced.
- Risk-free rateThe rate on a sovereign borrowing in its own currency, where credit risk is absent because the government can print the money — the benchmark every other valuation is measured against.
- Risk premiumThe extra return an investor demands over the nominal risk-free rate as compensation for uncertainty about future cash flows — the last and largest block in the required rate of return.
- Real Risk-free RateThe 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.
- 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.
- Term PremiumThe extra return investors demand for lending long rather than short, because a longer horizon means more uncertainty about future cash flows than money market paper of one year or less.
- 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.