NISM-Series-VIII: Equity Derivatives

Chapter 4: Options

Authored by Divanshu Kapoor


4.1 Basics of Options

An Option is a contract that gives the buyer the right, but not the obligation, to buy or sell an asset at a fixed price on or before a specified date. It's a key tool for managing risk and speculating on future price movements. Two main types of options exist:

The option buyer pays a premium (the cost of the option) for this right. The option seller, or writer, receives this premium but has the obligation to fulfill the contract if the buyer chooses to exercise their right.

🔑 Think of insurance: The buyer pays a small, fixed premium and is protected from large price movements, while the seller receives the premium in exchange for bearing the risk.

4.2 Contract Specifications

Like futures, options have standardized terms defined by the exchange:


4.3 Moneyness of an Option

"Moneyness" describes an option's relationship between its strike price and the current market (spot) price of the underlying asset.

In the Money (ITM): The option has intrinsic value.

At the Money (ATM): The option's strike price is equal to the spot price.

Out of the Money (OTM): The option has no intrinsic value.


4.4 Intrinsic Value & Time Value

📈 Time value is highest when there is more time until expiry and when volatility is high. It decays to zero at expiry.

4.5 Payoff Charts for Options

Options have non-linear payoffs, meaning the relationship between the underlying price and the profit/loss is not a straight line. The potential for profit or loss is asymmetric for the buyer and seller.

📊 The payoff profile for options is asymmetric, unlike the linear payoff of futures contracts.

4.6 Futures vs Options (Quick Comparison)

Feature Futures Options
Obligation Both parties obliged Buyer has right, seller has obligation
Payoff Linear Non-linear
Margin Both pay margin Buyer pays premium, seller pays margin
Risk Unlimited (both sides) Buyer’s risk limited to premium

4.7 Basics of Option Pricing & Greeks

An option's price is determined by its intrinsic value and its time value. The price of an option is influenced by a number of factors, including the underlying asset's price, volatility, and time to expiry.

Greeks are a set of risk measures that help traders understand how an option's price is affected by changes in various market variables:


4.8 Option Pricing Models

The Black-Scholes Model (BSM) is the most common model used to calculate the theoretical price of European-style options. The key inputs for the model are:


4.9 Implied Volatility

Implied Volatility (IV) is the market's forecast of a likely movement in the underlying asset's price. It is derived from the option's premium in the market. A higher IV suggests that the market expects larger price swings and, as a result, the option will be more expensive.


4.10 Buyer vs Seller Perspectives


✅ Key Takeaways


Authored with ❤️ by Divanshu Kapoor. Follow me on LinkedIn for more content.