Cross-Currency Swap

A cross-currency swap exchanges cash flows in two currencies, typically including principal and periodic interest payments.

A cross-currency swap is a derivative in which two parties exchange cash flows denominated in different currencies. The structure commonly includes an initial exchange of principal, periodic interest payments in each currency, and a re-exchange of principal at maturity.

Currency swap is widely used as a shorter name for the same instrument family. The contract’s cash flows matter more than the label: an FX swap that exchanges principal on only two dates is a different, typically shorter-term structure.

Key Takeaways

  • Each leg has its own currency, notional amount, interest basis, payment schedule, and discount curve.
  • Interest payments can be fixed-for-fixed, fixed-for-floating, or floating-for-floating.
  • Principal may be exchanged at inception and maturity, although exact structures vary.
  • A cross-currency basis spread can be added to one leg as part of market pricing.
  • The swap can transform funding exposure without removing counterparty, basis, liquidity, collateral, settlement, or accounting risks.
  • Fixed contractual notionals do not prevent the swap’s market value from changing when spot FX or either currency’s yield curve changes.
  • A mark-to-market structure can reset one notional as FX moves, reducing some replacement exposure while creating interim principal adjustments and liquidity needs.
  • Debt and swap remain separate legal obligations; early repayment, default, or termination of one does not automatically cancel the other.

Basic Cash-Flow Structure

A plain cross-currency swap can contain three stages:

  1. Initial principal exchange: the parties exchange notionals in two currencies at an agreed rate.
  2. Periodic interest exchanges: each party pays interest in one currency and receives interest in the other under the agreed schedules.
  3. Final principal re-exchange: the parties return the principal amounts at maturity, often using the same contracted amounts as at inception.

Some swaps omit the initial exchange, reset notionals as exchange rates move, or use other payment conventions. The confirmation determines the actual obligations.

Worked Example: Converting USD Debt into EUR Cash Flows

Assume a company can issue three-year U.S. dollar debt but needs euros for a project. It completes two separate transactions:

  • Debt: it borrows USD 11,000,000 at a fixed 5.00% annual rate.
  • Swap at inception: it pays USD 11,000,000 and receives EUR 10,000,000.
  • Swap during the term: it receives 5.00% on USD 11,000,000 and pays 3.00% on EUR 10,000,000 annually.
  • Swap at maturity: it receives USD 11,000,000 and returns EUR 10,000,000.

Ignoring day count, tax, collateral, discounting, and default:

DateUSD debtCross-currency swapSimplified combined cash flow
Inception+USD 11,000,000-USD 11,000,000; +EUR 10,000,000+EUR 10,000,000
Each annual payment date-USD 550,000+USD 550,000; -EUR 300,000-EUR 300,000
Maturity principal-USD 11,000,000+USD 11,000,000; -EUR 10,000,000-EUR 10,000,000

On these assumptions, the package resembles a three-year EUR 10 million fixed-rate borrowing at 3.00%. The company receives the euros it needs, and the swap’s USD receipts offset the scheduled USD debt payments.

The word resembles matters. The USD lender has a claim on the company, while the company has a separate contract with the swap counterparty. If the counterparty fails, the company still owes its USD debt and may need to replace the swap at the current market price. Fees, basis, collateral, tax, accounting, payment timing, and credit terms can also prevent the combined cost from equaling exactly 3.00%.

Why Exchange Rates Still Affect Value

The maturity exchanges are fixed in contractual currency amounts, but their value in one reporting currency changes with spot FX.

In the worked example, the contracted principal exchange rate is USD 1.10 per EUR because USD 11 million is paired with EUR 10 million. Suppose the euro later strengthens and spot EUR/USD becomes 1.20. Ignoring discounting, coupons, and collateral:

  • the EUR 10 million the company must pay is worth USD 12 million at the new spot rate; and
  • the USD principal it will receive remains USD 11 million.

Viewed only as an undiscounted USD principal comparison, the swap is now USD 11 million - USD 12 million = -USD 1 million to the company. If spot instead moved to 1.00, the same comparison would be positive USD 1 million.

This is not the swap’s complete fair value. Proper valuation also includes every interest payment, time to payment, both yield curves, cross-currency basis, collateral terms, and counterparty adjustments. The example shows why a swap can generate collateral calls even though the contractual principal amounts have not changed.

Common Structures

StructureLeg 1Leg 2Typical exposure
Fixed-for-fixedFixed rate in currency AFixed rate in currency BCurrency and relative fixed-rate value
Fixed-for-floatingFixed rate in one currencyFloating rate in the otherCurrency plus one floating-rate exposure
Floating-for-floatingFloating benchmark in currency AFloating benchmark in currency B, often plus a spreadRelative funding and cross-currency basis
Mark-to-market cross-currency swapOne notional periodically resets with FX movementsOther notional may remain fixedReduces accumulation of notional-related FX mark-to-market

Floating benchmarks, observation conventions, fallbacks, payment lags, and day counts must be identified for each leg. A generic reference to “market rates” is not enough to reproduce cash flows.

When a reference-currency leg is calculated but converted into another settlement currency instead of being delivered, the transaction may be documented as a Non-Deliverable Swap.

Non-Resetting vs. Mark-to-Market Notionals

In a non-resetting swap, both currency notionals generally remain fixed until the final exchange. A large FX move can therefore create a large replacement value between the two principal amounts.

In a mark-to-market cross-currency swap, one notional is periodically reset using an observed FX rate. For example, if a fixed EUR 10 million notional was initially paired with USD 11 million and the reset rate later became USD 1.20 per EUR, the reset USD notional could become USD 12 million. The contract may require a USD 1 million principal adjustment, with direction and timing determined by the confirmation.

Resetting can reduce the future FX-driven mismatch between notionals, but it does not eliminate risk. The adjustment itself requires liquidity, may not coincide with collateral movements, and can differ from the amount or timing of the exposure being hedged.

Cross-Currency Basis

In a simplified frictionless model, covered interest parity links spot, forward exchange rates, and comparable currency rates. In actual markets, the pricing needed to balance a cross-currency swap can include a cross-currency basis spread on one floating leg.

The basis can reflect demand for funding in a currency, dealer balance-sheet costs, liquidity, credit and collateral conventions, and market segmentation. Its quoted sign depends on which leg receives the spread and the market convention.

For example, a confirmation might state that one party receives SOFR on the USD leg and pays euro short-term rate minus 0.20% on the EUR leg. If the euro reference rate for a one-year period were 2.00%, that leg’s simplified payment rate would be 1.80%. On EUR 10 million with an annual accrual fraction of 1.00, the payment would be EUR 180,000.

That example defines its own sign convention. A market screen showing -20 basis points is not self-explanatory unless the reader knows which currency leg carries the spread, which party pays it, and how the currency pair is quoted.

Do not compare basis quotes without matching:

  • currency pair and quote direction;
  • maturity;
  • floating-rate benchmarks;
  • payment frequency and day count;
  • collateral and discounting convention;
  • initial and final principal exchanges; and
  • whether notionals reset.

See Covered Interest Parity for the underlying no-arbitrage framework.

Why Use a Cross-Currency Swap?

Transform debt cash flows

An issuer can combine borrowing in one currency with a swap that produces payment obligations in another currency. The combined economics depend on both the debt and the swap; the swap does not alter the original lender’s claim unless the financing documents say so.

Match assets and liabilities

A firm or investor may align foreign-currency assets with funding in the same currency. Differences in amount, amortization, reset dates, or maturity can leave residual exposure.

Access relative funding markets

An entity may borrow where it has market access and then swap the proceeds. Any apparent funding advantage must be measured after basis, spreads, collateral, fees, credit, and execution costs.

Hedge longer-term currency cash flows

Periodic currency receipts or payments may be offset with corresponding swap legs. Forecast uncertainty and hedge-accounting requirements remain separate considerations.

Cross-Currency Swap vs. FX Swap

FeatureCross-currency swapForeign Exchange Swap
PrincipalOften exchanged initially and at maturityExchanged on near and far dates
Periodic interestUsually exchangedUsually no separate periodic coupons
Typical maturityOften medium or long termOften short term, though other tenors exist
Main useTransform funding and rate cash flowsTemporary currency funding or settlement-date management
Main quoteRates, spreads, basis, and full cash-flow termsNear rate plus swap points

An Interest Rate Swap generally exchanges rate cash flows in one currency and normally does not exchange cross-currency principal.

Valuation

A cross-currency swap can be viewed as a set of projected cash flows in each currency:

  1. project coupons and principal for each leg;
  2. discount each leg using the appropriate curve and collateral framework;
  3. convert one leg’s present value into the valuation currency using the applicable spot rate; and
  4. net the two present values from the selected party’s perspective.

For the company in the worked example, which receives USD and pays EUR after inception, a simplified USD value can be written as:

$$ V_{USD} = PV_{USD}(\text{USD receipts}) -S_t\times PV_{EUR}(\text{EUR payments}) $$

Here, (S_t) is spot USD per EUR. Each currency leg is first valued in its own currency. The EUR-leg present value is then translated into USD before the values are netted.

This expression describes the direction of the calculation, not a complete pricing model. The projected floating rates, cross-currency basis, collateral currency, discounting framework, payment lags, already-fixed coupons, credit adjustments, and closeout convention all affect the result. Converting undiscounted notionals at spot is not enough.

Valuation Reconciliation

A reliable valuation report should let a reviewer trace:

  1. opening and current notionals in both currencies;
  2. principal exchanges and any reset adjustments;
  3. fixed coupons and known floating-rate fixings;
  4. projected cash flows before and after the valuation date;
  5. discount factors and basis assumptions for each currency;
  6. the spot FX rate used to translate the foreign leg;
  7. accrued but unpaid amounts;
  8. collateral and counterparty valuation adjustments; and
  9. the sign from the selected party’s perspective.

An unexplained sign reversal is a common control failure. A model can produce the correct magnitude but the wrong asset-or-liability conclusion if pay and receive legs or the FX quote direction are inverted.

Hedge Mismatch and Early Termination

A cross-currency swap is effective only to the extent that its cash flows match the underlying exposure. Mismatches can arise when:

  • debt is prepaid, refinanced, called, or repurchased before the swap matures;
  • a project requires less foreign currency than forecast;
  • the debt amortizes while swap notionals remain level;
  • coupon, reset, or payment dates differ;
  • the debt and swap use different reference rates or fallback methods; or
  • the swap is collateralized in a currency that creates separate funding needs.

If the debt is repaid early, the swap does not normally disappear. The company can terminate it, transfer it with consent, enter an offsetting swap, or retain the exposure. Each choice can produce a positive or negative market value, transaction costs, documentation work, and hedge-accounting consequences.

Economic offset and accounting treatment are separate questions. A hedge that reduces cash-flow volatility may not qualify for, or may cease to qualify for, a particular accounting presentation. The entity should document the hedged item, hedge ratio, risk being hedged, effectiveness assessment, and treatment under the applicable reporting framework.

Risks and Limitations

  • Exchange-rate risk: changes in spot FX affect the reporting-currency value of foreign-currency cash flows and replacement exposure.
  • Interest-rate risk: fixed and floating legs respond differently to curve changes.
  • Basis risk: the swap’s benchmarks, dates, or basis may not match the exposure being hedged.
  • Counterparty credit risk: default can create replacement cost and interrupt expected cash flows.
  • Collateral and liquidity risk: mark-to-market changes can produce collateral calls and funding pressure.
  • Settlement risk: principal exchanges can create large payment obligations in different time zones.
  • Rollover and refinancing risk: a swap ending before the underlying exposure may need replacement.
  • Operational and model risk: incorrect schedules, fixings, curves, FX rates, or signs can materially distort value.
  • Legal, regulatory, tax, and accounting risk: treatment depends on agreements, entity facts, jurisdiction, and reporting framework.

Principal settlement deserves special attention because the amounts can be much larger than periodic coupons. Payment-versus-payment arrangements can reduce the risk that one currency is delivered without receipt of the other, but availability depends on the currencies, counterparties, infrastructure, and transaction. Legal netting rights do not by themselves guarantee simultaneous settlement.

Review Checklist

  1. Identify both currency notionals and whether they exchange at inception and maturity.
  2. Map every fixed or floating coupon, spread, reset, fixing, and payment date.
  3. Confirm benchmark fallbacks, day counts, business-day rules, and payment lags.
  4. State the cross-currency basis convention and which leg pays it.
  5. Match the swap amount, amortization, and maturity to the underlying funding or hedge.
  6. Review collateral, netting, default, termination, and close-out terms.
  7. Validate curves, FX rates, valuation currency, and independent price checks.
  8. Assess settlement method, payment cut-offs, and liquidity under stress.
  9. Reconcile swap cash flows to the underlying debt, asset, or forecast exposure.
  10. Stress-test early termination, counterparty default, FX jumps, basis changes, and notional-reset liquidity.

Authoritative References

Knowledge Check

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FAQs

Are currency swaps and cross-currency swaps different?

The terms are often used for the same instrument family: swaps with cash flows in two currencies, usually including interest and potentially principal exchanges. The contract terms, not the shortened label, determine the structure.

Is a cross-currency swap the same as an FX swap?

No. A cross-currency swap usually exchanges periodic interest cash flows and often principal over a longer term. An FX swap contains opposite principal exchanges for a near and far date and usually has no separate coupon stream.

Does a cross-currency swap eliminate currency risk?

It can offset specified currency cash flows, but mismatch, basis, counterparty, collateral, settlement, model, and close-out risks can remain.

Why can a cross-currency basis be nonzero?

Actual funding and derivatives markets include liquidity, balance-sheet, credit, collateral, and demand conditions absent from a frictionless parity model. Convention also affects how the basis is quoted.
  • Swap: The broader contract family that exchanges defined cash-flow streams.
  • Interest Rate Differential: A rate relationship that contributes to covered FX pricing but does not by itself explain cross-currency basis.
  • Foreign Exchange Risk: The risk that currency movements change cash flows or reporting-currency value.
  • Transaction Exposure: Exposure created by contractual foreign-currency receipts or payments.
  • Basis Risk: The risk that the swap and the underlying funding or asset do not move together as expected.
  • Counterparty Risk: The risk that a favorable swap value is not fully realized after counterparty failure.
  • Settlement Risk: The risk that a party delivers one currency without receiving the other as required.
  • Hedge Accounting: Accounting requirements that are separate from whether the swap economically offsets an exposure.
  • Liquidity Risk: The risk that collateral, principal adjustments, or replacement transactions cannot be funded when due.

This article is for financial education only. Cross-currency swaps can create substantial market, basis, counterparty, collateral, liquidity, operational, legal, tax, accounting, and settlement risks. It does not provide individualized investment, derivatives, accounting, tax, legal, or hedging advice.

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