CFA Level I Exam · Pricing and Valuation of Interest Rate and Other Swaps

Swaptions: Payer vs Receiver Explained for CFA Level I

Updated 7 October 2026 · Fact-checked

A swaption is an option to enter a swap at a fixed rate set today. A payer swaption lets you pay the fixed rate and receive floating, so it gains when swap rates rise above the strike. A receiver swaption gains when swap rates fall below the strike. Compare the market swap rate with the strike.

Understand Swaptions and Swap Credit and Pricing Concepts

A swaption is an option on a swap. The buyer pays a premium today. In return, the buyer gets the right, not the obligation, to enter a swap on a future date at a fixed rate agreed now. That fixed rate is the exercise rate (strike).

There are two types. A payer swaption gives the right to pay fixed and receive floating. It works like a call option on the swap rate. A receiver swaption gives the right to receive fixed and pay floating. It works like a put option on the swap rate.

The key link is to the market swap rate at expiry. If the market fixed rate for a swap of the same terms is above your strike, a payer swaption is in the money. You can pay the lower strike instead of the higher market rate. If the market rate is below your strike, a receiver swaption is in the money. You can receive the higher strike instead of the lower market rate.

A swap is a commitment: both sides must perform, and it normally has zero value at start. A swaption is a right: only the buyer chooses. The buyer's loss is limited to the premium. The seller (writer) takes the premium and carries the risk of loss. That is the main difference between a swap and a swaption.

Credit risk also matters. The swap's value is the net of the two legs, so only the party that is owed the net amount faces credit risk. That is the party with the positive market value. Since the net value can change sign over time, a swap's credit exposure can switch between parties. The swaption buyer faces credit risk from the writer only if the option is in the money, because the writer must then perform. The writer faces little credit risk once the premium is paid. Netting and collateral reduce credit exposure.

Key formulas to remember

Payer swaption payoff (per unit of notional, per period): max(0, market swap rate − exercise rate); Like a call on the swap rate. The payoff is received as an annuity over the swap's life, not as one lump sum. Present value uses the annuity of the swap's payments.
Receiver swaption payoff (per unit of notional, per period): max(0, exercise rate − market swap rate); Like a put on the swap rate. In the money when the market swap rate is below the strike.
Annual payoff on notional: Payoff = notional × max(0, rate difference) × (days ÷ 360 or year fraction); Use the year fraction for the settlement period. Check the stem's day-count basis.
Swap versus swaption value at start: Swap value at initiation ≈ 0; swaption value = premium > 0; A swaption buyer pays a premium. A swap normally has no upfront payment.
Maximum loss for swaption buyer: Premium paid; The writer's loss can be large. Gain for the buyer is potentially large if the swap rate moves far.

How to solve Swaptions and Swap Credit and Pricing Concepts questions

Use this method for any swaption question. It turns the contract into a simple call or put on the swap rate.

1Identify the position: payer (pay fixed, receive floating) or receiver (receive fixed, pay floating). Note whether you are the buyer or the writer.
2Write down the exercise rate (strike) and the market swap rate at expiry for a swap with the same remaining term.
3Map to an option: payer = call on the swap rate; receiver = put on the swap rate.
4Compute the in-the-money amount: payer = market − strike; receiver = strike − market. If negative, the option expires worthless.
5Scale by the notional and the year fraction to get the payment per period. Remember it is a series of payments over the swap's life.
6Subtract the premium if the question asks for profit. For the writer, reverse the signs.
7Check the answer against the three options. Eliminate any with the wrong sign or wrong direction.

Quickest way: Call-or-put shortcut on the swap rate

When to use it: Use it when a question asks which swaption benefits from a rate move, or asks for the exercise decision.

Payer = bets rates rise = call. Receiver = bets rates fall = put.
Rates above strike: only the payer is in the money. Rates below strike: only the receiver is.
Exercise only if in the money. Otherwise let it lapse and lose only the premium.
Writer's position is the mirror image of the buyer's. Writer gains the premium at most.
For credit questions, ask who is owed money now. That party bears the credit risk.

Common mistakes in Swaptions and Swap Credit and Pricing Concepts

Saying a payer swaption benefits when rates fall.
Students link 'pay' with bad news and think falling rates help someone who pays.
Fix: Remember you lock in paying the strike. When market rates rise, paying a lower strike is valuable. Payer = call on the swap rate.
Treating the swaption as an obligation.
Swaps and swaptions look similar, and both mention fixed and floating.
Fix: Only the buyer has a choice. The writer must enter the swap if the buyer exercises. The buyer pays a premium; a swap has none.
Forgetting the premium when asked for profit.
The payoff formula does not include it.
Fix: Profit = payoff − premium for the buyer. Read the stem for the words 'profit' or 'net'.
Treating the payoff as a single lump sum at expiry.
Ordinary options pay once.
Fix: A swaption's benefit is a series of payments over the swap's life. Per-period payoff is notional × rate difference × year fraction.
Saying the swap buyer faces credit risk from the counterparty at all times.
Students assume the risk always sits with one side.
Fix: Credit risk sits with the party whose swap value is positive. It can change sides as rates move. Netting means only the net amount is at risk.
Confusing the strike with the market rate on the exercise decision.
Both are fixed rates on the same type of swap.
Fix: Label them clearly. The strike is in your contract. The market rate is today's rate for a similar swap.

Worked examples

Example 1

A company buys a payer swaption with an exercise rate of 4.00% on a 3-year swap with annual payments and a notional of €10,000,000. At expiry, the market 3-year swap rate is 4.80%. What is the annual benefit of exercising, ignoring the premium? Options: A) €0, B) €80,000, C) €200,000

Show the solution

The payer swaption is a call on the swap rate.
Market rate 4.80% is above the strike 4.00%, so it is in the money.
Exercising lets the holder pay 4.00% instead of the market 4.80%.
Rate difference = 4.80% − 4.00% = 0.80%.
Annual saving = €10,000,000 × 0.0080 = €80,000.
The saving of €80,000 arises in each of the 3 years. Its present value is found by discounting each year's €80,000 at the appropriate discount rate; the question asks only for the annual amount.

Answer: B) €80,000 per year, for each of the 3 years of the swap, before the premium.

Example 2

An investor holds a receiver swaption with an exercise rate of 3.50% on a US$20,000,000 notional, 2-year annual-pay swap. At expiry the market 2-year swap rate is 4.25%. Which is correct, with all amounts stated per year? A) Let it expire; the annual payoff is zero, B) Exercise and gain US$150,000 a year, C) Exercise and gain US$700,000 a year

Show the solution

The receiver swaption is a put on the swap rate.
Strike 3.50% is below market 4.25%, so the option is out of the money.
Payoff = max(0, 3.50% − 4.25%) = 0.
Exercising would mean receiving 3.50% when the market pays 4.25%. That is a shortfall of 0.75% × US$20,000,000 = US$150,000 a year, not a gain.
Over the 2 years, the shortfall would total US$150,000 × 2 = US$300,000 before discounting. This total is shown only for context; the options are all on a per-year basis.
The investor lets it expire. The loss is limited to the premium.

Answer: A) Let it expire; the annual payoff is zero. Option B reverses the sign and treats the US$150,000 annual shortfall as a gain. Option C ignores the market rate and applies the strike alone to the notional (3.50% × US$20,000,000 = US$700,000). Both B and C wrongly treat the option as in the money.

Exam tips

Convert every swaption to a call or put on the swap rate before reading the options. This removes most wrong choices.
Read whether the question asks for payoff or profit. Profit needs the premium.
For credit risk items, find who is owed the net amount. Only that party has exposure, and it can switch over time.
Expect conceptual items on swap vs swaption: obligation versus right, no premium versus premium, symmetric versus asymmetric payoff.
With no penalty for wrong answers, always pick an option. Eliminate any choice with the wrong direction first.

Practice questions from Pricing and Valuation of Interest Rate and Other Swaps

Swaptions and Swap Credit and Pricing Concepts in other exams

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

Swaptions and Swap Credit and Pricing Concepts: frequently asked questions

What is the difference between a payer and a receiver swaption?

A payer swaption gives the right to pay the fixed rate and receive floating. It gains when market swap rates rise above the strike. A receiver swaption gives the right to receive fixed and pay floating. It gains when market swap rates fall below the strike.

What is the difference between a swap and a swaption?

A swap is a binding agreement to exchange payments, and it normally costs nothing to enter. A swaption is a right to enter a swap, and the buyer pays a premium. The swaption buyer can walk away if the terms are unfavourable.

When should a swaption be exercised?

Exercise when it is in the money at expiry. For a payer, that means the market swap rate is above the exercise rate. For a receiver, the market rate is below the exercise rate. Otherwise let it expire.

Who bears credit risk in a swap or swaption?

In a swap, the party with a positive net value bears the risk that the counterparty will default, and this can change over time. In a swaption, the buyer bears the writer's credit risk if the option is in the money. Netting and collateral reduce exposure.