5.6

Basis

This sub‑topic explains the concept of *basis* in commodity derivatives, why it matters for pricing and hedging, and how SEBI/NISM treat it. Understanding basis helps you answer exam questions on futures‑spot relationships, basis risk, and convergence. It also links directly to the broader chapter on the uses of commodity derivatives.

Learning Objectives

  • 1Define basis and state its formula.
  • 2Identify different types of basis and their market implications.
  • 3Explain factors that cause basis to change and the concept of basis convergence.
  • 4Apply basis calculations to hedging scenarios and avoid common exam traps.

What is Basis?

Basis is the numerical difference between the spot (cash) price of a commodity and the price of its related futures contract for the same delivery month and grade.

Mathematically it is expressed as Spot price minus Futures price. The sign of the basis tells you whether the spot is higher (positive basis) or lower (negative basis) than the futures price.

For the NISM exam, basis is a recurring theme in questions about price discovery, hedging effectiveness, and the eventual convergence of futures to spot at expiry. Remember: the exam follows the SEBI definition, so always use the Spot‑Futures convention unless a question explicitly states otherwise.

  • Positive basis often indicates tight supply or high convenience yield.
  • Negative basis may signal abundant inventory or high carrying costs.

Calculation of Basis

Formula: Basis Calculation
B=SFB = S - F

Where:

B= Basis (Rs per tonne)
S= Spot price of the commodity (Rs per tonne)
F= Futures price for the same delivery month (Rs per tonne)

Worked Example

Given S = 1,200 Rs/tonne and F = 1,180 Rs/tonne: Step 1: B = 1,200 - 1,180 Step 2: B = 20 Rs/tonne Verification: 1,200 - 1,180 = 20.

When you compute basis, keep the units consistent – both spot and futures must be quoted per the same weight (tonne, kilogram, etc.).

A positive basis (B > 0) means the spot price exceeds the futures price, often reflecting immediate scarcity or high convenience yield. Conversely, a negative basis (B < 0) suggests the futures price is higher, usually due to storage costs, insurance, or interest on capital tied up.

Exam questions may give you either the spot or futures price and ask you to derive the other using a known basis. Always rearrange the formula correctly: S = B + F or F = S - B. Missing the sign leads to a common trap.

Types of Basis

Basis can be classified in two complementary ways: by sign (positive or negative) and by market convention (normal vs. inverse). In Indian commodity markets, the term *normal basis* usually means a positive basis, whereas *inverse basis* denotes a negative one.

Positive (normal) basis often appears in commodities with high convenience yield – for example, perishable agricultural produce during a short‑term shortage. Negative (inverse) basis is common for metals where storage costs dominate, such as copper or aluminium.

Understanding these classifications helps you quickly eliminate wrong answer choices in MCQs that ask for the likely sign of basis under given market conditions.

Comparison of Basis Types

Basis TypeSign of BTypical Market ConditionExample Commodity
Positive (Normal) BasisB > 0Tight spot supply, high convenience yieldWheat during a drought
Negative (Inverse) BasisB < 0High storage/financing costs, abundant inventoryCopper in a period of oversupply

Factors Influencing Basis

Several market forces shift the basis over time. The most important are:

  • Storage costs – higher warehousing or insurance charges push futures up relative to spot, creating a negative basis.
  • Convenience yield – the non‑financial benefit of holding the physical commodity (e.g., ability to meet immediate demand) raises spot price, leading to a positive basis.
  • Interest rates – higher financing costs increase the cost of carry, widening the gap between futures and spot.
  • Seasonality – harvest cycles, weather patterns, and demand spikes cause predictable basis patterns for agricultural commodities.
  • Location differential – transportation costs between the spot market hub and the futures delivery point affect basis.

For the exam, remember the mnemonic SICSL (Storage, Interest, Convenience, Seasonality, Location) to list the drivers quickly.

Basis Convergence and Basis Risk

As the futures contract approaches its delivery date, the futures price must converge to the spot price, causing the basis to move toward zero. This is a fundamental principle enforced by SEBI and is tested frequently.

However, during the life of the hedge, the basis can fluctuate, exposing the hedger to *basis risk* – the risk that the spot‑futures price difference at the time of closing the hedge differs from the expected value.

Effective hedgers monitor basis trends and may adjust hedge ratios or use cross‑hedging with a related commodity to mitigate unexpected movements.

ℹ️Exam Trap: Sign Convention

Many candidates reverse the sign and write Basis = Futures – Spot. The NISM syllabus defines basis as Spot minus Futures, so always keep the order S – F.

Basis in Indian Commodity Markets

In India, the primary exchanges – MCX (Metals) and NCDEX (Agricultural) – publish daily spot and futures quotes. Traders observe that agricultural commodities often exhibit a positive basis during pre‑harvest periods, while metals show a negative basis because of higher carry costs.

SEBI’s Commodity Derivatives Regulations require brokers to disclose basis trends to clients when recommending hedging strategies. The regulator also mandates that settlement prices be based on a weighted average of spot and futures to ensure fair convergence.

Exam questions may present a snapshot of MCX data and ask you to interpret the basis direction or its implication for a hedger.

Wheat Basis (Spot – Futures) Over Six Months on NCDEX

Using Basis for Hedging

A farmer who expects to sell wheat in three months can lock in a price by taking a short futures position. The effective price he receives is the futures price plus the realized basis at the time of sale.

If the farmer sells the physical wheat when the basis is still positive, his realized price will be higher than the futures price alone. Conversely, a negative basis reduces the effective price.

When planning the hedge, the farmer should forecast the likely basis using historical patterns (e.g., the chart above) and consider the risk that basis may move unfavourably.

Example: Farmer Hedging Wheat with Basis Consideration

Scenario

Ramesh cultivates 10,000 tonnes of wheat. The current NCDEX futures price for June delivery is Rs 1,150 per tonne. Historical data shows the basis at harvest is typically +Rs 10 per tonne. Ramesh wants to lock in his revenue.

Solution

Step 1: Ramesh sells 10,000 tonnes via a short futures contract at Rs 1,150 per tonne. Step 2: At harvest, the spot price is Rs 1,165 per tonne. Realized basis = Spot – Futures = 1,165 – 1,150 = Rs 15 per tonne. Step 3: Effective selling price = Futures price + Realized basis = 1,150 + 15 = Rs 1,165 per tonne. Step 4: Total revenue = 1,165 × 10,000 = Rs 11,650,000. The hedge protected Ramesh against a fall in spot price and even gave a small upside because the basis turned out larger than expected.

Conclusion

The example shows how basis adds to (or subtracts from) the futures price to give the actual realized price. Exam questions often test this calculation, so remember the formula: Effective Price = Futures Price + Basis.

⚠️Common Mistake: Assuming Constant Basis

Students often treat basis as a fixed number throughout the hedge. In reality, basis fluctuates; always assess the direction and magnitude of possible changes before finalising a hedge.

Exam Tips and Memory Aids

Mnemonic for the basis formula: B = S – F ("B” for Basis, “S” before “F”).

Remember the SICSL list for drivers of basis (Storage, Interest, Convenience, Seasonality, Location). When a question mentions any of these, think about the likely sign of basis.

Typical MCQ formats: (i) calculate basis given Spot and Futures, (ii) identify the sign of basis under a described market condition, (iii) choose the statement that correctly describes basis convergence at expiry. Practice by sketching a simple timeline showing spot, futures, and basis movement to the expiry date.

Exam Takeaways

  • Basis = Spot price – Futures price (B = S – F); keep the sign convention consistent.
  • Positive (normal) basis indicates spot > futures, often due to high convenience yield; negative (inverse) basis signals the opposite.
  • Key drivers of basis are Storage costs, Interest rates, Convenience yield, Seasonality, and Location (SICSL).
  • Basis converges to zero at contract expiry; any deviation before expiry creates basis risk.
  • Effective hedged price = Futures price + Realized basis; always adjust for the actual basis at the time of physical delivery.

Practice Questions

8 questions on Basis

1

How is basis defined in commodity derivatives?

2

What does a positive basis indicate about the relationship between spot and futures prices?

3

If the spot price of a commodity is Rs 1,200 per tonne and the futures price for the same delivery month is Rs 1,180 per tonne, what is the basis?

4

Which type of basis is most commonly observed for metals such as copper, according to the study material?

5

According to the SICSL mnemonic, which factor is most likely to create a negative basis?

6

A farmer shorts a futures contract at Rs 1,150 per tonne. At harvest, the spot price is Rs 1,165 per tonne. What is the farmer’s effective selling price per tonne after accounting for the realized basis?

7

When a futures contract reaches its delivery date, the basis must:

8

A trader observes that the spot price of wheat is higher than its futures price during a pre‑harvest period. Which of the following statements best describes the situation?

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