Underlying Concepts in Derivatives
This sub‑topic introduces the fundamental concepts that underpin all derivative instruments. Understanding the underlying asset, spot price, and the relationship between derivative contracts and their underlying is essential for answering NISM exam questions on pricing, risk, and client advice. The content links directly to the broader chapter on Understanding Derivatives and equips you to recognise key terminology used by SEBI and market participants.
Learning Objectives
- 1Define a derivative and identify its underlying asset.
- 2Explain the difference between spot price and forward price.
- 3Describe the main types of derivatives and their distinguishing features.
- 4Apply basic payoff formulas for options and interpret them in an advisory context.
What is a Derivative?
A derivative is a financial contract whose value is derived from the price movements of an underlying asset such as a stock, index, commodity, currency, or interest rate. The underlying asset is the reference point; without it, the derivative would have no economic meaning.
Derivatives are used for hedging, speculation, and arbitrage. In the Indian market, SEBI defines a derivative as a contract that gives the holder a right or an obligation to buy or sell the underlying at a future date or at a price determined today.
For the NISM exam, you must be able to identify the underlying in a given contract, differentiate it from the derivative itself, and know why the underlying’s characteristics (liquidity, volatility) affect the derivative’s pricing and risk profile.
- Underlying asset – the actual security or commodity that the contract references.
- Derivative contract – the legal agreement (forward, future, option, swap) whose payoff depends on the underlying.
Students often confuse the *underlying asset* with the *derivative contract*. Remember: the underlying is the real market instrument (e.g., NIFTY 50), while the derivative is the contract (e.g., NIFTY futures) that derives its value from that instrument.
Key Underlying Concepts
The spot price (S) is the current market price of the underlying asset for immediate delivery. It is the reference point for calculating forward or futures prices.
The forward price (F) is the agreed‑upon price for delivery of the underlying at a future date. In a simple cost‑of‑carry model, F is derived by adjusting the spot price for financing costs, storage costs, and any income (dividends or yields) earned on the asset during the contract period.
Understanding the cost‑of‑carry relationship helps you answer pricing‑related questions, such as why a commodity future may trade above the spot price (contango) or below it (backwardation). The exam frequently tests this by presenting a spot price, risk‑free rate, and time to maturity, then asking for the theoretical forward price.
Where:
S= Spot price of the underlying at expiry (₹)K= Strike price of the option (₹)Worked Example
Given S = 120 and K = 100: Step 1: Compute S - K = 120 - 100 = 20 Step 2: Payoff = max(20, 0) = 20 Verification: max(120 - 100, 0) = 20.
Types of Derivatives
Four primary derivative contracts dominate Indian markets: forwards, futures, options, and swaps. Each differs in standardisation, settlement, and the rights or obligations they confer.
A forward is a bespoke, over‑the‑counter (OTC) agreement to buy or sell the underlying at a predetermined price on a specific future date. Because it is customised, it carries higher counter‑party risk.
A future is an exchange‑traded forward with daily mark‑to‑market and a clearinghouse that mitigates counter‑party risk. Futures contracts are standardised in terms of contract size, expiry, and tick size.
An option gives the holder the right, but not the obligation, to buy (call) or sell (put) the underlying at a strike price before or at expiry. The writer of the option bears the obligation.
A swap involves exchanging cash flows (e.g., fixed vs floating interest rates) over a period. Swaps are typically OTC and used for interest‑rate or currency risk management.
Comparison of Major Derivative Contracts
| Feature | Forward | Future | Option | Swap |
|---|---|---|---|---|
| Trading Venue | OTC (bilateral) | Exchange‑traded | Exchange‑traded or OTC | OTC |
| Standardisation | Highly customised | Standard contract size & dates | Standardised strikes & expiries | Custom cash‑flow terms |
| Obligation | Both parties must settle | Both parties must settle | Holder has right, writer has obligation | Both parties exchange agreed cash flows |
| Mark‑to‑Market | No | Yes (daily) | Only for exchange‑traded options | No (usually) |
| Counter‑Party Risk | High | Low (clearinghouse) | Low for exchange‑traded | High |
Option Payoff Basics
Option payoffs are the cornerstone of many exam questions. A call option payoff is positive when the underlying price exceeds the strike price; otherwise, the payoff is zero. Conversely, a put option payoff is positive when the underlying price falls below the strike price.
The payoff diagram is a visual tool that shows profit or loss across a range of underlying prices at expiry. For a long call, the diagram starts at the strike price and rises linearly; for a long put, it falls linearly as the underlying price rises.
Exam takers must be able to read these diagrams, identify breakeven points, and calculate maximum profit or loss. Remember that the maximum loss for a long option is the premium paid, while the profit potential can be unlimited for calls and limited to strike price for puts.
Where:
K= Strike price of the option (₹)S= Spot price of the underlying at expiry (₹)Worked Example
Given K = 100 and S = 80: Step 1: Compute K - S = 100 - 80 = 20 Step 2: Payoff = max(20, 0) = 20 Verification: max(100 - 80, 0) = 20.
Practical Example: Hedging with Futures
Scenario
An Indian retail investor holds 10,000 shares of Reliance Industries Ltd., currently trading at ₹2,500 per share. The client fears a short‑term market correction over the next three months and wants to protect the portfolio value without selling the shares.
Solution
A common advisory solution is to take a short position in Reliance futures. The client can sell one Reliance futures contract (each contract represents 500 shares) for the next three‑month expiry at the prevailing futures price of ₹2,520. If the spot price falls to ₹2,300 at expiry, the loss on the shareholding (10,000 × (2,300‑2,500) = -₹2,00,000) is offset by a profit on the futures position (500 × (2,520‑2,300) = +₹1,10,000 per contract, multiplied by two contracts = +₹2,20,000). The net result is a small gain, effectively hedging the downside risk.
Conclusion
The example shows how understanding the underlying asset (Reliance shares) and the mechanics of futures contracts enables an adviser to construct a low‑cost hedge, a scenario frequently tested in NISM questions.
Students often reverse the payoff direction for long and short positions. Remember: a long position benefits from price rises, a short position benefits from price falls.
Payoff at Expiry for Different Option Positions (Strike = ₹100)
Regulatory Perspective (SEBI)
SEBI’s definition of a derivative emphasises the contractual right or obligation to transact in the underlying asset at a future date. The regulator classifies underlying assets into equity, commodity, currency, and interest‑rate categories, each governed by specific market‑segment rules.
For exam purposes, you must know that SEBI requires all listed derivatives to be traded on recognised exchanges (e.g., NSE, BSE) and that the underlying must be a listed security or a commodity approved by the Securities and Exchange Board of India.
Failure to recognise whether an instrument qualifies as a derivative under SEBI can lead to incorrect answers in compliance‑related questions. Always verify the underlying’s eligibility before selecting an answer.
SEBI’s definition adds the requirement of a "listed" underlying. If a question mentions an OTC contract on a non‑listed commodity, it may fall outside SEBI‑regulated derivatives.
Why Underlying Matters for Advisers
An investment adviser must assess the liquidity, volatility, and correlation of the underlying asset before recommending a derivative strategy. Highly volatile equities generate larger option premiums, while low‑liquidity commodities may incur wider bid‑ask spreads.
Understanding the underlying also helps in risk profiling. For a conservative client, an adviser may prefer index futures (broad market exposure) over single‑stock options, which carry idiosyncratic risk.
Exam questions often link client risk tolerance with the choice of underlying. Remember to match the client’s profile with the characteristics of the underlying asset to select the most suitable derivative instrument.
⭐Exam Takeaways
- A derivative's value is derived from an underlying asset; the underlying itself is a real market instrument.
- Spot price is the current price; forward price adjusts the spot for cost of carry over the contract horizon.
- Four main derivative types – forwards, futures, options, swaps – differ in standardisation, settlement, and obligation.
- Call payoff = max(S – K, 0); Put payoff = max(K – S, 0). Maximum loss for a long option equals the premium paid.
- Long positions profit from price rises; short positions profit from price falls – a frequent exam trap.
- SEBI mandates that derivatives be linked to listed underlying assets and traded on recognised exchanges.
- Advisers must match client risk tolerance with the liquidity and volatility of the underlying when recommending derivatives.
- Use payoff diagrams and simple calculations to verify breakeven points and profit/loss scenarios in exam questions.
Practice Questions
8 questions on Underlying Concepts in Derivatives
What is a derivative as defined in the study material?
How does the spot price differ from the forward price?
Which of the following derivative contracts is standardised and traded on an exchange?
A call option has a strike price of ₹100 and the underlying spot price at expiry is ₹120. What is the payoff to the holder?
Which position benefits from a decline in the underlying price?
In the practical hedging example, the client sells two Reliance futures contracts. If the spot price falls to ₹2,300 at expiry and the futures price remains ₹2,520, what is the net result on the combined share‑plus‑futures position?
For a conservative client, which derivative does the material suggest is most appropriate?
Which of the following is NOT a component of the cost‑of‑carry model used to derive a forward price?