Current syllabus:Interest-rate collars remain explicitly examinable in ACCA Advanced Financial Management (AFM) for September 2026 to June 2027, under the use of financial derivatives to hedge interest-rate risk. This is an AFM topic, not a PM topic.
An interest-rate collar combines a bought option with a sold option. For a borrower, the bought option protects against rising rates; selling the other option sacrifices some benefit from falling rates in return for premium income. The result is a band: a maximum effective rate and a minimum effective rate, before allowing for net premium, basis risk and transaction details.
1. Start with the exposure
Before choosing any derivative, identify whether the organisation willborrowordeposit/investand what adverse movement it fears:
Exposure | Adverse movement | Option protection using interest-rate futures options |
|---|---|---|
Future borrower | Interest rates rise; futures prices fall | Buy put options |
Future depositor | Interest rates fall; futures prices rise | Buy call options |
The option gives protection but preserves favourable upside, subject to the premium. A borrower who buys puts can let them lapse if rates fall. A depositor who buys calls can let them lapse if rates rise.
2. Cap, floor and collar
Short-term interest-rate futures prices are quoted as100 - implied interest rate. A strike price of 92 therefore corresponds to 8%; a strike of 96 corresponds to 4%.
For a borrower:
Buying a put at 92 protects against a futures price below 92, broadly creating an 8% cap before premium and basis effects.
Selling a call at 96 produces premium income but creates a loss if the futures price rises above 96, broadly imposing a 4% floor.
Together they create an approximate4% to 8% collar.
The language can be confusing. The borrower has bought protection at the upper interest-rate limit and sold away benefit below the lower limit. In option-price terms, however, the bought instrument is a put and the sold instrument is a call.
3. Worked borrower example
A company expects to borrow and wants protection against a rate above 8%. It buys put options with a strike of 92.00 and sells call options with a strike of 96.00. Ignore basis risk and premium initially so the economic structure is clear.
Market interest rate | Approx. futures price | Bought 92 put | Sold 96 call | Effective rate before premium |
|---|---|---|---|---|
10% | 90 | Gain of 2% | No exercise | 8% |
6% | 94 | No exercise | No exercise | 6% |
3% | 97 | No exercise | Loss of 1% | 4% |
At 10%, the put gain approximately offsets two percentage points of the borrowing cost, leaving 8%. At 6%, both options expire without intrinsic value and the borrower benefits from 6%. At 3%, the sold call costs approximately one percentage point, lifting the effective rate to 4%.
Interactive collar lab
Change the five inputs.The blue line shows the theoretical collar; the green line shows the achieved rate after the net premium and any basis or mismatch effect. The live marker gives the result at the market rate you enter. A positive premium or basis figure increases the borrower’s rate; a negative figure reduces it.
Three quick experiments:set the market rate above the cap, below the floor and inside the band. Then add a positive net premium and a basis mismatch. Notice that the theoretical collar stays bounded, while the achieved rate can move outside that neat band once real-world adjustments are included.
Practise the simplified collar payoff
Enter formulas in the yellow cells. Use futures price = 100 - market rate, a bought put strike of 92 and a sold call strike of 96. Ignore premium and basis.
| Market rate | Futures price | Bought put gain | Sold call loss | Effective rate |
| 10 | ||||
| 6 | ||||
| 3 |
4. Premium and the zero-cost description
The bought option requires a premium; the sold option earns a premium. A collar may be designed so that the premiums are equal or nearly equal, often called azero-cost collar. “Zero cost” refers to the initial net premium, not to the absence of risk, transaction costs or future option settlement.
If the bought put costs more than the sold call earns, the net premium increases the effective borrowing rate. If premium is quoted in annual percentage terms but the loan lasts for less than a year, apply the convention required by the question carefully. If contract premiums are quoted in ticks, use the contract's tick value and number of contracts.
5. A complete AFM calculation is more detailed
The simplified example explains the collar shape. An exam calculation may also require:
the correct futures contract month after the exposure date;
the number of option contracts, based on loan amount, contract size and loan period;
the expected futures price at the hedge date, often using basis;
option exercise value or close-out value;
premium cash flows; and
the resulting net borrowing cost and effective annual rate.
The options are normally cash-settled against the futures market; they do not directly rewrite the bank's loan rate. The derivative gain or loss is combined with the underlying interest cost.
6. Basis risk and contract mismatch
The simple identity “futures price = 100 - the company's loan rate” is an approximation. The futures rate may be based on a reference rate different from the company's actual borrowing rate, and the basis may not move exactly as expected. Contract size and maturity may not match the exposure. These mismatches mean the achieved rate can fall outside the neat theoretical band after all cash flows are included.
Round contract numbers as instructed or commercially appropriate and state the consequence of under-hedging or over-hedging. Do not hide a material residual exposure behind a rounded effective rate.
7. Collar versus other hedges
Hedge | Main strength | Main limitation |
|---|---|---|
FRA | Tailored and fixes a rate | No benefit from a favourable rate movement |
Interest-rate futures | Exchange-traded and flexible to close out | Basis and contract-matching risk; fixes rather than preserves upside |
Bought option | Caps the adverse rate while preserving favourable movement | Premium can be expensive |
Collar | Reduces or offsets premium while retaining protection within a band | Sacrifices benefit beyond the sold-option boundary |
Swap | Useful for longer-term repeated interest cash flows | Counterparty, credit and termination considerations |
The best hedge depends on the organisation's exposure, risk appetite, view of rates, cash-flow certainty, cost, flexibility and counterparty constraints. AFM recommendations should connect the instrument to the scenario rather than simply naming the cheapest-looking alternative.
8. Exam method and common errors
State borrower or depositor and the feared rate movement.
Translate option strike prices using 100 - rate.
Choose the protective option first; add the sold option only after its sacrificed upside is understood.
Calculate contract numbers and timing carefully.
Show underlying interest, option settlement and net premium separately.
Combine them into an effective rate using consistent time units.
Discuss basis risk, over/under-hedging and commercial trade-offs.
Do not say a borrower buys calls for protection against rising rates when the question uses interest-rate futures options.
Do not forget that a sold option creates an obligation and may generate a loss.
Do not call a collar risk-free or cost-free.
Do not ignore premium merely because both options are shown.
Do not confuse a 92 strike with a 92% interest rate.