Pricing of Futures Contracts

One of the most common questions asked by new derivatives traders is why the price of a futures contract is often different from the price of the underlying asset in the spot market. At first glance, this may appear confusing because a futures contract derives its value from the underlying asset. If both are linked to the same security, commodity, or currency, many assume that their prices should always be identical. In reality, this is not the case. Although spot prices and futures prices move in the same direction most of the time, they are rarely exactly the same until the contract reaches its expiry date.

Core Concepts & Foundational Principles

Pricing futures contracts is not about predicting future prices. Instead, it is about calculating what the fair value of a futures contract should be based on economic principles. Modern financial markets use established pricing models to estimate this value while considering the costs and benefits associated with holding the underlying asset until the futures contract expires. These models help maintain consistency across the market and reduce pricing inefficiencies.

The futures price, on the other hand, is the price agreed upon today for a transaction that will take place on a future date. Since settlement occurs later rather than immediately, the futures price incorporates additional factors that do not affect the spot market.

Suppose the spot price of the Nifty Index is 17,586, while the current month's futures contract is trading at 17,597. Both prices refer to the same underlying index, yet the futures contract trades slightly higher.

Depending on market conditions, the basis may be positive or negative. As the futures contract approaches its expiry date, however, this difference gradually narrows because the futures price and the spot price eventually converge. On the expiry date, both prices become equal since there is no remaining time difference between immediate delivery and future settlement.

Several factors determine how a futures contract should be priced. These include financing costs, storage expenses in the case of commodities, expected income such as dividends, and the remaining time until contract expiry. Collectively, these factors are often referred to as the cost of carry.

The Cash and Carry Model assumes that financial markets operate efficiently and that opportunities for risk-free arbitrage are quickly eliminated by market participants. Under this assumption, the futures price should equal the current spot price adjusted for the net cost of holding the asset until the futures contract expires.

Key Pillars & Critical Distinctions

Practical Takeaways & Action Rules

• To understand futures pricing, it is first necessary to distinguish between the spot price and the futures price.
• This difference of 11 points is known as the basis or spread.
• *Futures Price = Spot Price + (Carry Cost − Carry Return)
• This simple equation explains why futures contracts frequently trade at prices different from the spot market.

Key Mechanics & Frameworks

The first investor, Ram, purchases TCS shares directly in the spot market by paying the full market value. Since he owns the shares, they are credited to his demat account. If the company declares a dividend before the futures contract expires, Ram receives the dividend because he is the registered shareholder.

However, Ram also commits the full investment amount immediately. The money used to purchase the shares could have earned interest elsewhere. Therefore, by investing in the shares, Ram gives up the opportunity to earn interest on those funds.

Key Pillars & Critical Distinctions

Practical Takeaways & Action Rules

• In equity markets, dividends paid by companies represent carry returns.
• For certain commodities, convenience benefits or other economic advantages associated with holding physical inventory may also be considered.
• To understand this concept more clearly, consider two investors interested in purchasing shares of TCS.
• This foregone interest represents the financing cost, which forms part of the cost of carry.

Strategic Implementation & Real-World Application

Although the formula appears technical, its underlying principle is straightforward. As financing costs increase or the contract's remaining duration becomes longer, the futures price generally rises relative to the spot price because carrying the asset becomes more expensive.

Key Pillars & Critical Distinctions

Practical Takeaways & Action Rules

• *F = S × e^(rT)
• F represents the futures price. * S represents the current spot price. * r represents the financing or risk-free interest rate. * T represents the time remaining until expiry. * e is the mathematical constant approximately equal to 2.71828.
• Another important method of understanding futures pricing is the Expectancy Model.
• Unlike the Cash and Carry Model, which focuses primarily on carrying costs and arbitrage relationships, the Expectancy Model emphasises market expectations.

Advanced Insights & Long-Term Execution

A market is in Backwardation when the futures price trades below the spot price.

Ultimately, pricing a futures contract is about determining its fair economic value rather than predicting future market direction. The Cash and Carry Model explains how financing costs and holding benefits influence futures prices, while the Expectancy Model highlights the role of market sentiment and future price expectations. Concepts such as basis, Contango, Backwardation, and cost of carry provide valuable insight into why futures prices differ from spot prices and how those differences change over time. By understanding these pricing mechanisms, traders, investors, and businesses gain a stronger foundation for analysing futures markets, identifying potential opportunities, and making better-informed financial decisions while managing risk more effectively.

Practical Takeaways & Action Rules

• This typically occurs when market participants expect future prices to decline or when the benefits of holding the physical asset exceed the associated carrying costs.
• For instance, if gold currently trades at ₹95,000 per ten grams while the futures contract trades at ₹94,700, the market is experiencing Backwardation.
• Although Contango and Backwardation may initially seem complex, they simply describe the relationship between current prices and futures prices under different market conditions.
• Another important aspect of futures pricing is the role played by arbitrageurs.