Futures Pricing, Margins, Marking to Market and Hedging - Article

Introduction

A futures contract is an agreement to buy or sell an underlying exposure at a future date according to standardised exchange specifications.

Unlike a customised OTC forward, a futures contract is traded through a recognised exchange and normally operates through:

• standard contract sizes;

• specified expiry dates;

• a clearing corporation;

• margin requirements; and

• daily marking to market.

The current 2026 IIBF CAIIB BFM syllabus includes Futures under Module C – Derivative Products, along with forwards, options and swaps.

In India, exchange-traded currency and interest-rate futures operate within the applicable RBI, SEBI, exchange and clearing-corporation frameworks. Current NSE specifications, for example, provide for daily settlement and margining of futures positions.

For CAIIB numericals, the topic can be divided into four parts:

Futures Price → Margin → Daily MTM → Hedge

Learning Objectives

After studying this topic, you should be able to:

• explain the basic structure of a futures contract;

• distinguish futures price from spot price;

• calculate theoretical futures price using cost-of-carry principles;

• understand futures premium and discount;

• calculate initial margin;

• calculate daily mark-to-market profit or loss;

• understand margin calls and variation margin;

• identify whether a hedge should use long or short futures;

• calculate the number of contracts required for a hedge; and

• use PVBP to understand an interest-rate futures hedge.

Futures versus Forward Contracts

Futures and forwards both fix terms for a future transaction, but their operating structures differ.

A futures contract therefore combines the derivative exposure with a strong daily risk-management mechanism.

Long and Short Futures

Long Futures

A trader who is long futures has agreed economically to buy the underlying exposure at the futures price.

The long position gains when the futures price rises.

Short Futures

A trader who is short futures gains when the futures price falls.

Therefore:

Futures Price ↑ → Long Gains, Short Loses

Futures Price ↓ → Long Loses, Short Gains

This direction must be understood before any numerical calculation.

Futures Price and Spot Price

The spot price is the current cash-market price.

The futures price is the price for the standardised future contract.

They need not be equal before expiry because holding the underlying until the futures maturity can involve:

• financing cost;

• interest income;

• coupon income;

• dividends;

• storage or carrying cost; and

• other benefits or costs.

The basic pricing idea is called:

Cost of Carry

Cost-of-Carry Principle

For a financial asset with no interim income, a simple cost-of-carry relationship is:

Futures Price = Spot Price × (1 + Financing Rate × Time)

This estimates the theoretical futures price when financing cost is the principal carrying cost under a simple-interest convention.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Where continuous compounding is used:

Futures Price = Spot Price × e^(rT)

This is the standard continuously compounded theoretical futures-price relationship.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

NSE Clearing currently uses a theoretical pricing relationship of the form F = S × e^(rt) for specified unexpired futures where a theoretical daily settlement price is required.

Futures Pricing When the Underlying Provides Income

If the underlying asset produces income before expiry, that income reduces the economic carrying cost.

For an asset with a continuously compounded income yield:

Futures Price = Spot Price × e^[(r − q)T]

This adjusts the futures price for financing cost (r) less income yield (q).

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

The principle is:

Higher financing cost → Higher futures price

Higher income from holding the underlying → Lower futures price

Bond Futures and Carry

For a bond, the holder may receive coupon income during the holding period.

Therefore, the economic relationship is broadly:

Futures Price reflects Spot Price + Financing Cost − Income from Bond

The exact exchange-traded contract may contain additional specifications governing:

• underlying security;

• settlement;

• contract size;

• price quotation; and

• final settlement price.

Current NSE Government-security futures, for example, are cash settled and use contract-specific daily and final settlement procedures.

For CAIIB numericals, always follow the pricing convention provided in the question.

Currency Futures Pricing

For an exchange rate quoted as:

Domestic Currency per Unit of Foreign Currency

a simple interest-rate-parity relationship is:

Currency Futures Rate = Spot Rate × [(1 + Domestic Interest Rate × T) ÷ (1 + Foreign Interest Rate × T)]

This derives the theoretical currency futures/forward rate from the spot exchange rate and the two currencies' interest rates.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Therefore, under this quotation convention:

• higher domestic interest rates tend to raise the quoted futures rate;

• higher foreign interest rates tend to reduce it.

Futures Premium or Discount

Futures Premium/Discount = Futures Price − Spot Price

This measures how far the futures price stands above or below the current spot price.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

If:

Futures Price > Spot Price → Futures at premium

If:

Futures Price < Spot Price → Futures at discount

For currency contracts, interpretation also depends on the quotation convention.

Convergence at Expiry

As the futures contract approaches expiry, the futures price and relevant spot/settlement value should generally converge.

Why?

If a major price difference remained at expiry, arbitrage opportunities could arise.

Therefore:

Time to Expiry ↓ → Futures and Spot Prices Tend to Converge

This is an important conceptual feature of futures pricing.

What Is Futures Margin?

Entering a futures contract does not normally require payment of the full underlying contract value.

Instead, participants must provide margin.

Margin acts as a financial safeguard against losses.

It should not be confused with:

• purchase price;

• down payment; or

• option premium.

The futures participant still has economic exposure to the full contract according to the contract specification.

Initial Margin

Initial Margin is the amount required when establishing or maintaining a futures position under the applicable clearing framework.

If a numerical question provides a percentage margin:

Initial Margin = Contract Value × Initial Margin Percentage

This calculates the initial margin when the requirement is directly stated as a percentage of contract value.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Actual Indian exchange margins are determined according to clearing-corporation risk methodology and contract specifications rather than one universal percentage.

For example:

• current NSE INR currency futures use a SPAN-based initial margin framework; and

• current cash-settled interest-rate futures have prescribed contract-specific minimum margin parameters.

Therefore, use the margin percentage stated in the examination problem unless the question specifically asks for a current contract requirement.

Contract Value

Where the futures contract is quoted as price multiplied by quantity:

Contract Value = Futures Price × Contract Quantity

This determines the notional market value represented by one futures contract where the contract specification uses that structure.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

For some interest-rate products, the exchange may prescribe a specific notional value or quotation method.

Always check the question's contract specification.

Marking to Market

One of the defining characteristics of futures is daily marking to market (MTM).

At the end of each trading day, open futures positions are revalued using the daily settlement price.

NSE Clearing states that interest-rate futures positions are marked to market each trade day, with gains and losses based on the difference between the trade/previous settlement price and the current daily settlement price. The resulting cash MTM is settled through clearing arrangements.

After daily settlement, the futures position is effectively reset to the new settlement price for the next day's calculation. NSE Clearing follows the same basic principle for equity futures.

Daily MTM for a Long Futures Position

Long Futures Daily MTM = (Today's Settlement Price − Previous Settlement Price) × Contract Quantity × Number of Contracts

This calculates the daily gain or loss for a long futures position.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

If the result is positive:

Long receives MTM gain

If negative:

Long pays MTM loss

Daily MTM for a Short Futures Position

Short Futures Daily MTM = (Previous Settlement Price − Today's Settlement Price) × Contract Quantity × Number of Contracts

This calculates the daily gain or loss for the short futures position.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Therefore:

Long's MTM gain = Short's MTM loss

before considering fees and other adjustments.

First-Day MTM

For a newly opened position, the relevant comparison is generally:

Daily Settlement Price − Trade Price

for a long position, multiplied by the contract quantity and number of contracts.

The clearing framework then uses the daily settlement price as the new reference for the following day.

Cumulative Futures Profit or Loss

Across several days:

Cumulative Futures P&L = Sum of Daily MTM Gains and Losses

This determines the total economic futures gain or loss over the holding period, ignoring transaction costs and other adjustments.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

A common mistake is to calculate the entire movement from original trade price every day and then add those results.

That double-counts changes.

Use:

Day-by-day change

or

final price minus original price

—not both.

Variation Margin

When a futures position suffers MTM losses, additional cash may have to be paid through the clearing system.

This daily loss payment is commonly associated with variation margin/MTM settlement.

Thus:

Initial Margin → protects against potential future exposure

Daily MTM/Variation Margin → settles gains and losses as prices change

This daily cash settlement is a major reason why futures counterparty exposure differs from an uncollateralised long-dated bilateral forward.

Maintenance Margin and Margin Call

Textbook futures questions may provide a maintenance margin, meaning the minimum permitted margin-account balance before additional funds must be deposited.

If:

Margin Balance < Maintenance Margin

a margin call may require restoration according to the question's stated rule, often back toward the initial-margin level.

Where the question states restoration to initial margin:

Margin Call = Initial Margin − Current Margin Balance

This determines the additional amount required to restore the account to the initial-margin level.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Do not assume a universal maintenance-margin percentage for all Indian futures contracts.

Use the values and rules supplied in the question or relevant exchange specification.

Margin Is Not the Maximum Loss

Suppose a futures contract requires only a small percentage of contract value as initial margin.

This does not mean losses cannot exceed the initial margin.

Because futures are leveraged:

• the economic exposure is based on the full contract;

• adverse price movements create MTM losses; and

• further funds may be required.

Futures Hedging

Futures can be used to reduce price risk in an underlying exposure.

The first decision is the direction of hedge.

Short Hedge

A participant who already owns an asset or expects to sell it later fears that its price may fall.

The participant can consider:

Sell Futures

This is called a short hedge.

If the cash-market asset falls:

• underlying position loses value;

• short futures position generally gains.

Examples include:

• bond portfolio vulnerable to rising yields;

• exporter hedging a currency receivable through suitable currency futures;

• holder of an asset planning a future sale.

Long Hedge

A participant who expects to buy an asset or currency later fears that its price may rise.

The participant can consider:

Buy Futures

This is called a long hedge.

If the future purchase price rises:

• cash-market transaction becomes more expensive;

• long futures position generally gains.

Examples include:

• importer needing foreign currency later;

• investor planning a future asset purchase;

• borrower hedging an appropriate price/rate exposure through a suitable futures contract.

Hedge Direction Table

Number of Futures Contracts for a Simple Hedge

If the exposure and futures contract have closely matching price behaviour:

Number of Futures Contracts = Value of Exposure ÷ Value of One Futures Contract

This estimates the number of contracts required for a simple value-matched hedge.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

Because exchange contracts are standardised, the calculated number may not be a whole number.

The treasury may need to round according to the desired hedge and applicable market practice.

This creates some residual exposure.

Hedge Ratio

Where a hedge ratio is given or estimated:

Number of Futures Contracts = (Exposure Value × Hedge Ratio) ÷ Futures Contract Value

This adjusts the number of contracts for an imperfect relationship between the underlying exposure and futures contract.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

A hedge ratio of 1 implies a simple value-for-value hedge.

A different ratio reflects the sensitivity relationship specified in the question.

Bond Futures Hedge Using Duration

For a fixed-income portfolio, merely matching market values may provide a poor hedge because the portfolio and futures contract can have different interest-rate sensitivities.

A duration-based approach is:

Number of Futures Contracts ≈ (Portfolio Value × Portfolio Modified Duration) ÷ (Futures Exposure Value × Futures Modified Duration)

This estimates the number of futures contracts needed to offset approximate duration exposure.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

This is preferable to simple value matching when interest-rate sensitivity is the key risk.

PVBP-Based Futures Hedge

An even more direct interest-rate sensitivity approach uses PVBP/PV01.

Number of Futures Contracts ≈ Portfolio PVBP ÷ PVBP of One Futures Contract

This matches the portfolio's one-basis-point sensitivity against the opposite sensitivity of the futures position.

Refer to the Formula Section for a detailed explanation, variables, and solved examples.

RBI reporting guidance recognises PV01 for both cash bonds and bond futures and uses positive/negative signs to distinguish long and short interest-rate positions.

Hedge Direction

For a long bond portfolio:

• portfolio PVBP is economically positive in the RBI sign convention;

• a short futures position can provide offsetting negative PVBP.

The objective is approximately:

Net PVBP after Hedge → Reduced toward desired level

Futures Hedge Is Rarely Perfect

A futures hedge may leave residual risk because of:

• contract-size mismatch;

• maturity mismatch;

• benchmark mismatch;

• different duration;

• basis movements;

• yield-curve changes;

• timing differences; and

• imperfect correlation.

This residual risk is commonly called basis risk.

Therefore:

Hedge ≠ guaranteed zero profit or loss

The aim is to reduce the sensitivity of the combined position.

Futures Hedging and Daily Cash Flow

A hedge can be economically successful but still create a short-term liquidity problem.

Suppose:

• the underlying asset gains value; but

• the futures hedge loses money.

The economic positions may largely offset.

However, the futures loss may have to be paid daily through MTM, while the gain on the underlying may remain unrealised.

Therefore, treasury must manage:

Hedge Effectiveness + Margin Liquidity

This is an important practical risk.

Futures versus Forward in Hedging

The best instrument depends on:

• amount;

• tenor;

• liquidity;

• flexibility;

• collateral/margin capacity; and

• basis risk.

Numerical Workflow for CAIIB

Use the following sequence.

Step 1: Identify the Question Type

Is it asking for:

• theoretical futures price;

• initial margin;

• daily MTM;

• cumulative P&L;

• margin call; or

• hedge contracts?

Step 2: Check Contract Specification

Identify:

• contract size;

• quoted price;

• tick value where relevant;

• expiry;

• settlement convention; and

• margin percentage if supplied.

Step 3: Identify Long or Short

This determines the sign of profit or loss.

Step 4: Convert Rates Correctly

Remember:

• 5% = 0.05;

• 1 bp = 0.0001.

Step 5: For MTM, Use the Correct Reference Price

First day:

Trade Price → Daily Settlement Price

Subsequent day:

Previous Settlement Price → New Settlement Price

Step 6: Multiply by Quantity and Contracts

A price movement by itself is not the final monetary P&L.

Step 7: For Hedging, Determine Direction First

Future sale/asset owned → Short

Future purchase → Long

Step 8: Select the Correct Hedge Method

Use:

• value matching;

• given hedge ratio;

• duration; or

• PVBP,

according to the information supplied.

Step 9: Check Reasonableness

For a long futures position:

Price Rise → Gain

For a short futures position:

Price Rise → Loss

If your result gives the opposite, recheck the sign.

CAIIB Exam Focus

Futures are standardised exchange-traded derivatives.

Long futures benefit from an increase in futures price.

Short futures benefit from a decrease in futures price.

Futures pricing reflects cost of carry.

Higher financing cost generally increases theoretical futures price, other things equal.

Income from holding the underlying reduces net carrying cost.

Currency futures pricing reflects domestic and foreign interest-rate differentials.

Futures and spot prices tend to converge as expiry approaches.

Initial margin is not the full contract value.

Margin is not the maximum possible loss.

Futures positions are marked to market daily.

Current NSE Clearing procedures for interest-rate futures calculate daily MTM from the trade/previous settlement price to the current settlement price and settle the resulting gains and losses in cash.

After daily MTM, the new settlement price becomes the reference for the next period.

Short hedge protects broadly against falling prices.

Long hedge protects broadly against rising prices.

A long fixed-rate bond portfolio can be hedged against rising yields using a suitable short interest-rate futures position.

Value matching may be insufficient when portfolio and futures sensitivities differ.

Duration/PVBP matching provides a more risk-sensitive bond hedge.

Daily MTM creates liquidity requirements even when the overall economic hedge is effective.

Common Exam Traps

Trap 1: Futures Buyer Benefits When Price Falls

Incorrect.

A long futures position benefits when futures price rises.

Trap 2: Short Futures Loses When Price Falls

Incorrect.

A short futures position benefits from a price fall.

Trap 3: Initial Margin Is the Price Paid for the Underlying Asset

Incorrect.

It is a risk-control amount supporting the leveraged futures position.

Trap 4: Maximum Futures Loss Is Limited to Initial Margin

Incorrect.

Losses can exceed initial margin and create additional MTM obligations.

Trap 5: Every Day's MTM Should Be Calculated from Original Trade Price

Incorrect.

After settlement, subsequent daily MTM uses the previous day's settlement price.

Trap 6: Add Daily MTM and Full Trade-to-Final Price Gain Again

Incorrect.

That double-counts the same price movement.

Trap 7: Higher Carrying Cost Reduces Futures Price

Generally incorrect where other factors remain unchanged.

Higher financing cost generally raises theoretical futures price.

Trap 8: Coupon Income Increases Bond Carrying Cost

Incorrect.

Income received while holding the underlying offsets part of carrying cost.

Trap 9: Futures and Spot Prices Can Remain Permanently Far Apart at Expiry

Incorrect under normal functioning markets.

They should converge around expiry according to contract settlement mechanics.

Trap 10: An Asset Holder Should Buy Futures to Protect against Falling Price

Normally incorrect.

The holder generally needs a short hedge against a price decline.

Trap 11: Future Buyer Should Sell Futures to Protect against Rising Price

Normally incorrect.

A future purchaser generally uses a long hedge.

Trap 12: Number of Contracts Is Always Exposure Value Divided by Contract Value

Incorrect when the underlying and futures have materially different sensitivities.

A hedge ratio, duration or PVBP approach may be needed.

Trap 13: Equal Market Values Mean Equal Interest-Rate Risk

Incorrect.

Two bond positions of equal value can have very different duration and PVBP.

Trap 14: A Perfect Economic Hedge Creates No Cash-Flow Risk

Incorrect.

Futures losses are settled through daily MTM and can create margin-liquidity requirements before offsetting gains on the underlying are realised.

Trap 15: Every Futures Contract Uses the Same Margin Percentage

Incorrect.

Margins are determined by the relevant exchange and clearing-corporation risk framework and differ by product and market conditions.

Memory Technique

Remember futures as P-M-M-H:

• P – Price through cost of carry

• M – Margin posted

• M – Mark to market daily

• H – Hedge the underlying risk

For direction:

Long → Likes Price Rise

Short → Likes Price Fall

For hedging:

Own/Sell Later → Short Hedge

Buy Later → Long Hedge

And for bond hedging:

Match Risk, not merely Rupees → Use Duration or PVBP when required.