Advanced Financial Management · Interest Rate Risk Management

Interest Rate Futures for CA Final AFM

Updated 5 October 2026 · Fact-checked

An interest rate future is an exchange-traded contract to buy or sell a debt instrument at a fixed price on a future date. Its price moves opposite to interest rates. To hedge, find the exposure, choose long or short, compute contracts as exposure ÷ contract value (adjusted for duration if asked), then compare gain on futures with loss on the loan or investment.

Understand Interest Rate Futures

An interest rate future is a standardised contract traded on an exchange. Two parties agree today on the price of a debt instrument, such as a bond or a notional T-bill, for delivery or settlement on a fixed future date. The contract size, expiry and tick size are fixed by the exchange.

The key link is the inverse relation between rates and prices. If interest rates rise, bond prices fall, so the futures price falls. If rates fall, the futures price rises. Futures are usually quoted as price = 100 − implied interest rate (for example, a price of 94.50 implies a rate of 5.50%).

So you buy (go long) futures when you want protection against a fall in rates, for example when you will invest money later. You sell (go short) futures when you want protection against a rise in rates, for example when you will borrow later or hold bonds. A short futures position gains when rates rise, which offsets the higher borrowing cost.

The tick is the smallest price movement. Tick value is the rupee gain or loss on one contract for one tick. For short-term rate contracts it depends on the contract size, the tick and the period: tick value = contract size × tick × (period ÷ 12). Always use the contract details given in the question.

FRA versus futures: an FRA is an over-the-counter contract with a bank, tailor-made for amount and date, and settled in cash once. A future is exchange-traded, standardised, marked to market daily with margins, and has lower counterparty risk. Futures rarely match your exposure exactly, so some basis risk remains.

Key rules to remember

Implied rate from quote: Implied rate = 100 − futures price; Use for index-style quotes such as 94.50 meaning 5.50%.
Tick value (short-term rate contract): Tick value = Contract size × Tick size × (Months of contract period ÷ 12); Tick size as a rate, e.g. 0.01% = 0.0001. Use the period of the underlying instrument, such as 3 months.
Number of contracts (simple): Contracts = (Exposure amount ÷ Contract size) × (Exposure period ÷ Contract period); Work out the bracket (Exposure ÷ Contract size) first, then multiply by the period ratio. Apply the period ratio only when the exposure period differs from the contract period. If both are 3 months, the ratio is 1 and Contracts = Exposure ÷ Contract size.
Number of contracts (duration-based): Contracts = (Portfolio value × Portfolio duration) ÷ (Futures value × Futures duration); Used for bond portfolios. Use modified duration if the question gives it.
Profit or loss on futures: Short: (Sale price − Closing price) × ticks × tick value; Long: (Closing price − Purchase price) × ticks × tick value; Count the number of ticks in the price change, then multiply by tick value and number of contracts.
Hedge position rule: Fear rising rates (borrower, bondholder) → Sell futures; Fear falling rates (investor) → Buy futures; Check the direction with the inverse price–rate link.

How to solve Interest Rate Futures questions

Use the same sequence for every hedging question. It keeps the direction, the quantity and the net result consistent.

1Identify the exposure: borrowing or investing, the amount, the start date and the period.
2Decide the risk: rates rising hurts a borrower; rates falling hurts an investor.
3Choose the position: sell futures if rates rising hurts you, buy futures if rates falling hurts you.
4Compute the number of contracts as (Exposure ÷ Contract size) × (Exposure period ÷ Contract period). Use the period ratio only if the two periods differ; if they are equal, it is 1. Use the duration formula for bond portfolios.
5Calculate the futures price movement in ticks, then multiply by tick value and number of contracts to get profit or loss.
6Calculate the loss or gain in the underlying exposure at the new rate.
7Add both to get the net result and the effective rate. State whether the hedge is perfect or leaves basis risk.
8Write a one-line conclusion comparing the hedged and unhedged outcomes.

Quickest way: Direction, count, ticks

When to use it: Use when the question gives the futures prices and contract details and asks for the hedge result.

Write one line: borrower = sell, investor = buy.
Number of contracts = (amount ÷ contract size) × (exposure period ÷ contract period). When both periods are the same, this is just amount ÷ contract size. Round to the nearest whole number unless told otherwise.
Futures gain = price change in ticks × tick value × contracts. Check the sign from your position.
Underlying effect = amount × rate change × period ÷ 12.
Net = futures gain − extra interest cost (or + extra income). If the two are close, the hedge worked.

Common mistakes in Interest Rate Futures

Buying futures to hedge a future borrowing.
Students think borrowing means buying something, and forget that futures prices fall when rates rise.
Fix: Ask what happens to the futures price if rates rise. It falls, so you must be short (sell) to gain.
Using annual tick value for a 3-month contract.
The period factor is skipped.
Fix: Multiply by period ÷ 12. Contract size × 0.01% × 3/12 for a 3-month contract.
Counting ticks wrongly from the price change.
Students read 0.25 change as 25 ticks when the tick is 0.01, or the reverse.
Fix: Ticks = price change ÷ tick size. Write the division out.
Ignoring the difference between exposure period and contract period.
Students divide only by contract size, even when the exposure runs for a different period from the contract.
Fix: Use Contracts = (Exposure ÷ Contract size) × (Exposure period ÷ Contract period). Do the bracket first, then scale. If both periods are equal, the ratio is 1 and no scaling is needed.
Forgetting to compare futures result with the underlying loss.
The answer stops at the futures profit.
Fix: Always give the net outcome and effective rate, and comment on any shortfall (basis risk).
Treating futures as the same as FRAs.
Both lock in a rate, so the differences get blurred.
Fix: Remember: futures are exchange-traded, standardised, margined daily; FRAs are OTC, customised, settled once.

Worked examples

Example 1

A company will borrow ₹10,00,00,000 for 3 months starting in 3 months and fears a rise in rates. A 3-month interest rate futures contract has size ₹1,00,00,000, tick 0.01%, current price 93.00 (implied 7.00%). After 3 months, the price is 92.00 and the company borrows at 8.00%. Ignore margins. Find the hedge result.

Show the solution

Rates rising hurts the borrower, so sell futures.
Exposure period (3 months) equals contract period (3 months), so the period ratio is 1.
Contracts = (₹10,00,00,000 ÷ ₹1,00,00,000) × (3 ÷ 3) = 10 × 1 = 10.
Tick value = ₹1,00,00,000 × 0.0001 × 3/12 = ₹250.
Price change = 93.00 − 92.00 = 1.00 = 100 ticks (1.00 ÷ 0.01).
Futures gain = 100 × ₹250 × 10 = ₹2,50,000.
Extra interest cost = ₹10,00,00,000 × (8% − 7%) × 3/12 = ₹2,50,000.
Net = ₹2,50,000 − ₹2,50,000 = nil.

Answer: Sell 10 contracts. Futures gain of ₹2,50,000 exactly offsets the extra interest of ₹2,50,000, so the effective rate stays at 7.00%, a perfect hedge.

Example 2

A fund will receive ₹5,00,00,000 in 3 months to invest for 3 months and fears a fall in rates. A 3-month futures contract has size ₹50,00,000 and tick 0.01%, bought at 94.00 (implied 6.00%). After 3 months, the price is 94.60 and the fund invests at 5.40%. Find the net result against the 6.00% rate.

Show the solution

Rates falling hurts the investor, so buy futures.
Exposure period (3 months) equals contract period (3 months), so the period ratio is 1.
Contracts = (₹5,00,00,000 ÷ ₹50,00,000) × (3 ÷ 3) = 10 × 1 = 10.
Tick value = ₹50,00,000 × 0.0001 × 3/12 = ₹125.
Price change = 94.60 − 94.00 = 0.60 = 60 ticks.
Futures gain = 60 × ₹125 × 10 = ₹75,000.
Shortfall in income = ₹5,00,00,000 × (6.00% − 5.40%) × 3/12 = ₹75,000.
Net effect = ₹75,000 gain − ₹75,000 lost income = nil.

Answer: Buy 10 contracts. The futures gain of ₹75,000 offsets the lost interest of ₹75,000, so the fund effectively earns 6.00%.

Exam tips

Write the position (buy or sell) and the reason in one line first. Examiners award marks for direction.
Show tick value working explicitly, including the period factor. Marks are often given for this step.
Finish with the net result and effective rate, then one line on basis risk or margin if the question mentions them.
For FRA versus futures theory, answer in a short comparison: market, customisation, settlement, margin, counterparty risk.
In case-scenario MCQs, check the sign of the rate move before computing. A wrong direction makes every later step wrong.

Practice questions from Interest Rate Risk Management

Interest Rate Futures in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Interest Rate Futures: frequently asked questions

Do I buy or sell interest rate futures to hedge a loan?

Sell them. When rates rise, futures prices fall, so a short position gains and offsets the higher interest on the loan. Buy futures only if you fear falling rates, such as an investor.

How do I calculate tick value in interest rate futures?

Tick value = contract size × tick size × (contract period in months ÷ 12). For a ₹1,00,00,000 3-month contract with a 0.01% tick, it is ₹250.

What is the difference between FRA and interest rate futures?

An FRA is an over-the-counter contract with a bank, customised and settled in cash once. A future is exchange-traded, standardised, marked to market daily and backed by margins. Futures have lower counterparty risk but can leave basis risk.

Why is the hedge not always perfect?

Contract sizes and dates are fixed, so your exposure may not match. The futures price may also move differently from your actual borrowing or lending rate. This gap is called basis risk.