2.7

Application of Indices

This sub‑topic explores how stock market indices are used in the Indian securities market. Understanding the applications of indices helps candidates answer exam questions on benchmarking, derivative contracts, and portfolio performance measurement. It links the theory of index construction to real‑world trading and risk‑management practices required by SEBI and NISM.

Learning Objectives

  • 1Identify the major ways indices are applied in the equity derivatives market.
  • 2Calculate a simple index return and interpret its meaning.
  • 3Explain the role of indices as benchmarks, in ETFs, futures and options.
  • 4Recognise common exam traps related to index‑based products.

Understanding the Role of Indices

In the Indian context, an index is a statistical measure that reflects the price movement of a selected basket of securities, such as the Nifty 50 or Sensex. The Securities and Exchange Board of India (SEBI) mandates that an index must be transparent, replicable, and regularly reviewed, ensuring that it accurately represents the market segment it is designed for.

Indices serve as a reference point for market participants. For a mutual fund manager, the index becomes a yardstick against which the fund's performance is judged. For a trader, the index price is the underlying asset for derivative contracts like futures and options, enabling speculation, hedging, and arbitrage without owning the constituent stocks.

From an exam perspective, SEBI’s definition of an index and its approved methodology often appear in multiple‑choice questions. Remember that an index is not a tradable security itself; it is a calculated value. Confusing the index level with the return generated over a period is a frequent mistake.

  • Index = weighted aggregation of selected securities.
  • Used for benchmarking, product creation, and risk management.
ℹ️Exam trap – Index level vs. Index return

Many candidates treat the index number (e.g., Nifty 15,000) as the return. The exam expects you to compute the percentage change between two levels. Always convert the level movement into a return before answering performance‑related questions.

Primary Applications of Indices

Indices are the backbone of several financial products. The most common application is the creation of index funds and exchange‑traded funds (ETFs) that aim to replicate the performance of a chosen index. Investors gain diversified exposure with a single transaction, and the expense ratio is usually lower than actively managed funds.

Another vital use is in derivative contracts. Index futures and options allow market participants to take directional views or hedge existing equity exposure without buying or selling the underlying stocks. Because the contract size is standardized (e.g., Nifty futures contract size of 75 units), they provide liquidity and efficient price discovery.

Indices also help in performance attribution. Portfolio managers compare the portfolio's return against the relevant index to isolate alpha (excess return) and beta (market‑related return). This comparison is a mandatory disclosure under SEBI’s regulations for mutual funds and portfolio managers.

Common Applications of Stock Indices in India

ApplicationPurposeTypical UsersExample
BenchmarkingMeasure portfolio performance against a market standardMutual funds, PMS, individual investorsComparing a fund’s return with Nifty 50
Index Funds / ETFsProvide passive, diversified exposureRetail investors, FIIs, HNINippon India Nifty 50 ETF
Futures TradingSpeculate or hedge equity exposureProprietary traders, hedgersNifty 50 futures contract
Options TradingCreate payoff structures, protect downsideRetail & institutional options tradersNifty 50 call option
Performance AttributionSeparate market‑related return from manager skillPortfolio managers, auditorsAttributing excess return over BSE Sensex

Indices as Benchmarks

When a fund declares that it is a "Nifty 50 index fund," the Nifty 50 becomes its benchmark. The fund’s net asset value (NAV) is compared to the index level over the same period to compute the tracking error. A low tracking error indicates that the fund is closely following the index, which is a key compliance metric under SEBI’s Mutual Fund Regulations.

Benchmarks also guide portfolio construction. Asset‑allocation models often allocate a portion of the equity exposure to a broad‑based index and the remainder to sectoral or thematic indices, depending on the investor’s risk appetite. The choice of benchmark influences the risk‑adjusted performance ratios such as Sharpe ratio, which the exam may ask you to interpret.

Exam‑wise, remember that the benchmark must be of the same asset class, investment style, and geographical focus as the portfolio. Selecting an inappropriate benchmark leads to misleading performance claims, a common error highlighted in SEBI’s compliance guidelines.

⚠️Common mistake – Using a sector index for a diversified fund

If a fund invests across multiple sectors, the exam expects you to choose a broad market index (e.g., Nifty 50) as the benchmark, not a sector‑specific index like Nifty Bank.

Formula: Simple Index Return (percentage)
ItI0I0×100\frac{I_{t}-I_{0}}{I_{0}}\times 100

Where:

I_{t}= Index level at the end of the period
I_{0}= Index level at the beginning of the period

Worked Example

Given I_{0}=12,000 and I_{t}=13,200: Step 1: Compute difference = 13,200 - 12,000 = 1,200 Step 2: Divide by initial level = 1,200 / 12,000 = 0.10 Step 3: Multiply by 100 = 10% Verification: (13,200-12,000)/12,000×100 = 10%.

Indices in Derivative Products

Index futures are standardized contracts that obligate the buyer to purchase, and the seller to deliver, the cash value of an index at a future date. In India, the Nifty 50 futures contract has a lot size of 75 units, meaning a single contract represents 75 × Nifty points. This contract is cash‑settled, so no physical delivery of stocks occurs.

Index options give the holder the right, but not the obligation, to buy (call) or sell (put) the index at a predetermined strike price. The premium paid for the option is the maximum loss for the buyer, while the seller’s risk can be unlimited for uncovered calls. These products are essential for hedging portfolio downside or creating structured payoff profiles.

For the exam, focus on the settlement mechanism (cash‑settlement), contract specifications (lot size, tick size), and the purpose of using index derivatives – mainly speculation, hedging, and arbitrage. Remember that the underlying is the index level, not the individual stocks.

Average Annual Returns (%) of Index‑Based Instruments (2018‑2022)

Indices for Portfolio Construction & Performance Measurement

Portfolio managers use indices to construct passive or hybrid strategies. A common approach is the "core‑satellite" model, where the core portion tracks a broad market index (e.g., Nifty 50) and the satellite portion pursues active bets in sectoral or thematic indices. This structure balances low cost with the potential for outperformance.

Performance measurement relies heavily on index comparison. The key metrics include tracking error (standard deviation of the return difference) and information ratio (active return divided by tracking error). While the exam may not require you to compute these ratios, understanding their definitions helps answer conceptual questions.

Finally, indices assist in risk management. By calculating the beta of a portfolio relative to the benchmark index, investors gauge market‑related risk. A beta greater than 1 indicates higher volatility than the index, a point often tested in scenario‑based questions.

Example: Hedging a Stock Portfolio with Nifty Futures

Scenario

Rohit holds a diversified equity portfolio worth INR 2,00,00,000. He expects a short‑term market correction and wants to hedge his exposure using Nifty 50 futures. The current Nifty level is 15,200 and the lot size is 75 units.

Solution

Step 1: Determine the portfolio's beta relative to Nifty, assumed to be 1.2. Effective exposure = 2,00,00,000 × 1.2 = INR 2,40,00,000. Step 2: Value of one futures contract = 15,200 × 75 = INR 11,40,000. Step 3: Number of contracts required = 2,40,00,000 ÷ 11,40,000 ≈ 21 contracts (round to nearest whole number). Rohit sells 21 Nifty futures contracts to offset potential losses. If the market falls 5%, the portfolio loss ≈ INR 12,00,000, while the futures gain ≈ 5% × 21 × 11,40,000 = INR 12,03,000, effectively neutralising the loss.

Conclusion

The example shows how an index future can be used as a hedge, a concept frequently examined in NISM questions on risk management and derivative applications.

Exam Takeaways

  • An index is a calculated value representing a basket of securities; it is not tradable itself.
  • Primary applications include benchmarking, index funds/ETFs, futures, options, and performance attribution.
  • Simple index return = ((I_t - I_0) / I_0) × 100; always convert level changes to percentage returns for exam questions.
  • Index futures are cash‑settled contracts with a fixed lot size; they are used for speculation and hedging.
  • Index options provide limited‑loss hedging; the premium is the maximum loss for the buyer.
  • Choose a benchmark that matches the portfolio’s asset class, style, and geography to avoid compliance errors.
  • Common exam traps: confusing index level with return, and using a sector index as a benchmark for a diversified fund.

Practice Questions

8 questions on Application of Indices

1

What is an index in the Indian securities market?

2

What is the lot size of a Nifty 50 futures contract in India?

3

If the index level moves from 12,000 to 13,200, what is the simple index return (in %) for the period?

4

Which of the following applications uses an index primarily as a benchmark?

5

Rohit wants to hedge a INR 2,00,00,000 portfolio with a beta of 1.2 using Nifty 50 futures. The current Nifty level is 15,200 and the lot size is 75 units. Approximately how many futures contracts should he sell?

6

A common exam trap related to indices is:

7

For the buyer of an index option, the maximum possible loss is:

8

Which of the following is NOT listed as a primary application of stock indices in India?

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