Risk Management in Banking and Insurance · Interest Rate Risk Management

Hedging Interest Rate Risk with FRAs, Swaps, Futures and Options

Updated 11 October 2026 · Fact-checked

Hedging interest rate risk means using derivatives to fix or limit the rate you pay or earn. An FRA fixes one future rate. A swap exchanges fixed and floating payments. Futures lock a rate on an exchange. Caps and floors set limits. A collar combines both. Solve by finding the exposure, then the net cash flow.

Understand Hedging with Derivatives: FRAs, Swaps, Futures, Options

Interest rate risk is the risk that a change in rates reduces your income or the value of your assets. A bank or company with floating-rate borrowing loses when rates rise. One with floating-rate deposits or investments loses when rates fall. Hedging means taking a derivative position whose gain offsets that loss.

A forward rate agreement (FRA) is an over-the-counter contract that fixes an interest rate for a future period on a notional amount. No principal moves. On the settlement date, only the difference between the agreed rate and the actual reference rate is paid. The buyer of an FRA protects against rising rates. The seller protects against falling rates.

An interest rate swap exchanges interest payments on a notional principal, usually fixed against floating. The principal is not exchanged. A borrower paying floating who wants certainty pays fixed and receives floating. The floating receipt cancels the floating loan cost, leaving a net fixed cost. Only the net difference is paid on each date.

Interest rate futures are standardised exchange-traded contracts. They are marked to market daily and have fixed sizes and dates. FRAs are tailor-made, OTC and settled once. Futures prices move opposite to rates: you sell futures to hedge against rising rates.

Options on interest rates give a right, not an obligation. A cap is a series of options that pays when the reference rate goes above the strike. A floor pays when it goes below the strike. A collar is a long cap plus a short floor (for a borrower). The floor premium received reduces the cost of the cap, but you give up the gain below the floor rate.

Key rules to remember

FRA settlement amount (paid at the start of the period): Settlement = Notional × (Reference rate − FRA rate) × (days ÷ 360) ÷ [1 + Reference rate × (days ÷ 360)]; Positive means the FRA buyer receives; negative means the buyer pays. Use 365 days if the question says so. Discounting is because settlement is made at the start of the period.
FRA settlement (undiscounted): Notional × (Reference rate − FRA rate) × (days ÷ year basis); Use only if the question says settlement is at the end of the period.
Swap net payment (fixed payer): Net = Notional × (Floating rate − Fixed rate) × (period ÷ year); Positive means the fixed payer receives net. Negative means the fixed payer pays net.
Effective cost after swap: Effective rate = Loan rate paid + Fixed rate paid on swap − Floating rate received; If the loan floating and swap floating are the same, the floating terms cancel.
Cap payoff per period: Notional × max(0, Reference rate − Cap strike) × (period ÷ year); Net cost = payoff received − premium paid, shown against the loan interest.
Floor payoff per period: Notional × max(0, Floor strike − Reference rate) × (period ÷ year); Protects a lender or investor in floating assets.
Collar: Borrower collar = Long cap + Short floor; Effective rate stays between the floor and cap strikes, adjusted for net premium.

How to solve Hedging with Derivatives: FRAs, Swaps, Futures, Options questions

Use this method for any hedging numerical or case question on interest rate derivatives.

1Identify the exposure: is the party a floating-rate borrower, a fixed-rate borrower, or a floating-rate lender or investor? Decide whether it loses when rates rise or fall.
2Choose the instrument that fits: FRA, swap, futures, cap, floor or collar, based on the need (fix, limit, or reduce cost).
3Write down the notional, period, day-count basis, contract rate and reference rate on settlement.
4Compute the derivative cash flow using the right formula. Check the sign for who pays and who receives.
5Combine it with the underlying loan or deposit interest to get the net effective cost or return.
6Compare with the unhedged result at the given rate scenarios. Include any premium paid.
7State a clear conclusion: what the hedge achieved and what the party gave up.

Quickest way: Direction-first check

When to use it: Use in MCQs and when you need to verify a long calculation quickly.

Ask: who gains if rates rise? FRA buyer, fixed-rate payer in a swap and cap holder gain. FRA seller, fixed-rate receiver and floor holder gain when rates fall.
Compute only the rate difference (reference minus contract rate), then multiply by notional and time fraction.
For an FRA settled upfront, divide by 1 + reference rate × time. Skip this step only if the question says end-of-period settlement.
For a hedged borrower, the net rate should come out as the fixed rate plus the loan spread. If it does not, recheck signs.
For options, the payoff is never negative. Subtract the premium separately.

Common mistakes in Hedging with Derivatives: FRAs, Swaps, Futures, Options

Exchanging the principal in a swap or FRA.
Students confuse interest rate swaps with currency swaps.
Fix: State that notional is only a reference amount. Only interest, and in fact only the net difference, is paid.
Forgetting to discount the FRA settlement.
The undiscounted formula looks simpler and is remembered first.
Fix: FRA settlement is made at the start of the period, so divide by 1 + reference rate × days ÷ basis, unless the question says otherwise.
Getting the direction of payment wrong.
Students do not link buyer or seller to rising or falling rates.
Fix: The FRA buyer gains when the reference rate is above the FRA rate. Check the sign of your answer against this.
Ignoring option premium when finding net cost.
Payoff calculation feels complete without it.
Fix: Always subtract premium paid, or add premium received, for caps, floors and collars.
Using the full-year rate for a part-year period.
Rates are quoted per annum and the time fraction is skipped.
Fix: Multiply by months ÷ 12 or days ÷ basis for every calculation.
Saying futures and FRAs are the same.
Both lock a future rate.
Fix: Contrast them: FRAs are OTC, customised and settled once; futures are exchange-traded, standardised and marked to market daily.

Worked examples

Example 1

A company expects to borrow ₹10,00,00,000 for 6 months starting 3 months from now. It buys a 3×9 FRA at 8% per annum from a bank. On the settlement date, the reference rate is 9% per annum. Treat the period as 180 days on a 360-day basis, settlement at the start of the period. Find the settlement amount and the effective borrowing cost.

Show the solution

The company buys the FRA, so it gains if the reference rate is above 8%. Reference 9% is above 8%.
Rate difference = 9% − 8% = 1% per annum.
Interest difference for the period = ₹10,00,00,000 × 0.01 × 180 ÷ 360 = ₹5,00,000.
Discount factor = 1 + 0.09 × 180 ÷ 360 = 1.045.
Settlement = ₹5,00,000 ÷ 1.045 = ₹4,78,469 (rounded). The bank pays this to the company.
Interest on the borrowing at 9% for 180 days = ₹10,00,00,000 × 0.09 × 0.5 = ₹45,00,000.
The FRA receipt of ₹4,78,469 invested at 9% for 180 days grows to ₹4,78,469 × 1.045 = ₹5,00,000 (rounded).
Net interest = ₹45,00,000 − ₹5,00,000 = ₹40,00,000, which equals 8% × 0.5 × ₹10,00,00,000 = ₹40,00,000, that is, 8% for 180 days.

Answer: The bank pays ₹4,78,469 (approx.) to the company. The effective cost is fixed at 8% per annum.

Example 2

A firm has a ₹5,00,00,000 floating-rate loan at MIBOR + 1%, reset annually. It enters a 3-year swap to pay 8% fixed and receive MIBOR. MIBOR for the first year resets at 9%. Find the net payment on the swap for year 1, the firm's total interest cost for year 1, and the effective rate.

Show the solution

The firm pays fixed 8% and receives floating MIBOR 9%.
Swap net = ₹5,00,00,000 × (9% − 8%) = ₹5,00,000 received by the firm.
Loan interest = ₹5,00,00,000 × (9% + 1%) = ₹50,00,000.
Total cost = ₹50,00,000 − ₹5,00,000 = ₹45,00,000.
Effective rate = ₹45,00,000 ÷ ₹5,00,00,000 = 9%.
Check: fixed 8% + spread 1% = 9%. The MIBOR terms cancel.

Answer: Net swap receipt is ₹5,00,000. Total interest cost is ₹45,00,000, an effective 9% per annum (8% fixed + 1% spread), whatever MIBOR is.

Exam tips

Write the buyer/seller or payer/receiver position first. Examiners give marks for the right direction of cash flow.
State the day-count basis and settlement timing assumption when the question does not specify one.
In case-based MCQs, match the exposure to the instrument: floating borrower needs a cap, FRA buy or pay-fixed swap.
For collars, show the cap and floor strikes and the net premium. End with the range of effective rates.
Finish written answers with a recommendation and mention what the hedge gives up, such as the benefit of falling rates.

Practice questions from Interest Rate Risk Management

Hedging with Derivatives: FRAs, Swaps, Futures, Options in other exams

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

Hedging with Derivatives: FRAs, Swaps, Futures, Options: frequently asked questions

What is the difference between an FRA and interest rate futures?

An FRA is a customised OTC contract between two parties, settled once in cash on the settlement date. Interest rate futures are standardised, exchange-traded and marked to market daily. FRAs carry counterparty risk, while futures are cleared through a clearing house.

Why is an FRA settlement discounted?

The settlement is paid at the start of the contract period, but the interest difference it represents would arise at the end. So the amount is discounted at the reference rate for the period.

How does an interest rate swap hedge a floating-rate loan?

The borrower pays fixed and receives floating on the swap. The floating receipt offsets the floating loan interest, so the borrower is left paying the fixed rate plus any loan spread.

What is the difference between a cap, a floor and a collar?

A cap sets a maximum rate for a borrower. A floor sets a minimum rate for a lender or investor. A collar combines a bought cap with a sold floor, which keeps the rate within a range and cuts the upfront premium.