Core Path · L1.7.05

Currency and cross-currency swaps

12 minDerivativesFXFunding

By the end you will be able to

  1. 1Explain how a cross-currency swap exchanges principal and interest in two currencies.
  2. 2Tell an FX swap from a cross-currency swap.
  3. 3Show how a borrower uses a cross-currency swap to turn foreign-currency debt into home-currency debt.
  4. 4Explain why the exchange of principal makes counterparty risk larger than in an interest rate swap.

Why it matters

Australian companies and banks often borrow in US dollars, where the bond market is deepest. But they earn Australian dollars. Borrow in one currency, earn in another, and a fall in your currency can make your debt balloon. The cross-currency swap lets them take the cheap foreign money and still owe their own.

Core explanation

Two currencies, swapped and swapped back

You met the FX swap in L1.6.02: swap two currencies today at the spot rate and agree to swap them back on a later date at the forward rate. Banks use FX swaps every day to borrow one currency against another for days or months. No interest is paid in between; the interest difference is built into the forward rate.

A cross-currency swap does the same job for years. It has three parts:

  1. At the start, the two sides exchange principal amounts in the two currencies, at the spot rate.
  2. During the life, each side pays interest on the principal it received, in that currency. Each leg can be fixed or floating.
  3. At maturity, they swap the principals back at the same rate as at the start.

Compare this with the interest rate swap of L1.7.04, where the notional never moves and only interest is exchanged, all in one currency. Here real principal changes hands, twice.

How a borrower uses it. An Australian company sells a 5-year bond for USD 100.00m with a 5.0% fixed coupon. It needs Australian dollars, so it enters a cross-currency swap with its bank. Step through the three stages:

Who pays whom

Bond investorsCompanySwap bankUSD 100.00mUSD 100.00mAUD 153.85m

Bond investors pay USD 100.00m. The company hands the dollars to the bank and gets AUD 153.85m back, at the spot rate of 0.65. It now has the Australian dollars it needs.

The US dollar flows cancel out: the bank pays the company exactly what the company owes its bond investors. What is left is a plain Australian dollar loan: AUD received at the start, AUD interest each year, AUD repaid at the end. The company has turned USD debt into AUD debt.

The cross-currency basis

If borrowing dollars directly and borrowing them through a swap cost the same, the swap would be priced off the two currencies' interest rates alone (the covered interest parity of L1.6.02). Since 2008 that has often not held. Many borrowers want dollars, so floating-for-floating cross-currency swaps carry an extra spread on one leg, the cross-currency basis. It is a measure of how much the world will pay for US dollars.

Bigger counterparty risk. In an interest rate swap only interest differences are at stake. In a cross-currency swap, a whole principal is swapped back at an old exchange rate. If the currency moves a long way, one side is owed a large sum by the other, and the exposure to the bank failing grows with it. That is why cross-currency swaps between banks are usually backed by collateral.

Try it

Here is the company's USD 100.00m bond, swapped into AUD at 0.65. Move the exchange rate and compare the total Australian dollars paid for coupons and principal, with and without the swap. For simplicity, the rate jumps straight to your chosen level and stays there.

Try itThe bond in Australian dollars

Open the cross-currency swap model →
no swap with the swapTotal AUD paid over five years, millions
1401802202603000.450.550.650.750.85AUD/USD (a lower number means a weaker Australian dollar)
AUD received at the start153.85m
Paid with the swap189.23m
Paid without it227.27m
Swap saves+38.04m

The swap fixes the AUD cost. If the Australian dollar strengthens, the company would have paid less without it: the swap removes that upside along with the risk.

Worked example

Swapping a USD bond into Australian dollars

USD 100.00m bond, 5 years, 5.0% annual coupon. Spot AUD/USD is 0.65 (US dollars per Australian dollar). The bank's fixed AUD rate for a 5-year swap is 4.6%. Rates are illustrative.

Building the swap

Step 1 of 5
  1. 1

    The AUD principal

    100,000,000 ÷ 0.65 = AUD 153,846,153.85. The company receives this at the start and will pay it back at maturity.

Regulatory lens

Most cross-currency swaps are not centrally cleared, so between financial firms they fall under the BCBS-IOSCO margin rules for non-centrally cleared derivatives (L1.7.11). Variation margin applies, while the fixed exchanges of principal are exempt from initial margin, in the same way as physically settled FX forwards. Banks also hold capital against the counterparty exposure, which later levels cover.

Sparks

SparkIBM and the World Bank, 1981
The swap that put currency swaps on the map was arranged in 1981 between the World Bank and IBM. The World Bank wanted to borrow Swiss francs and Deutsche marks; IBM already owed those currencies and was happy to owe dollars instead. The World Bank raised dollars and swapped its payments with IBM, so each ended up with the debt it wanted.
SparkCentral banks swap too
When banks outside the US struggled to find dollars in 2008 and again in March 2020, the US Federal Reserve lent dollars to other central banks through swap lines: it swapped dollars for their currency and agreed to swap back later. They are FX swaps between central banks, and they calmed the market for dollar funding.

Key takeaways

  • A cross-currency swap exchanges principal at the start, interest in each currency during its life, and principal back at the end at the original rate.
  • An FX swap is the short-term version: a spot exchange and a forward to reverse it, with no interest paid in between.
  • Borrowers use cross-currency swaps to turn foreign-currency debt into home-currency debt.
  • The swap fixes the home-currency cost, removing both the loss and the gain from currency moves.
  • Because principal is swapped back at an old rate, currency moves create large exposures, so these swaps are usually collateralised.

Reaction

Check what stuck

Question 1 · objective 1

In a standard cross-currency swap, at what exchange rate are the principals swapped back at maturity?

Question 2 · objective 1

A euro-area company swaps USD 50m into euros at 1.25 dollars per euro. How many euros does it receive at the start, in millions?

€m

Question 3 · objective 3

Without a swap, an Australian company must repay a USD 100m bond. If AUD/USD is 0.60 (dollars per Australian dollar) at maturity, how many Australian dollars does that cost, in millions, to two decimal places?

AUD m

Question 4 · objective 2

What mainly separates an FX swap from a cross-currency swap?

Question 5 · objective 4

Why does a cross-currency swap usually carry more counterparty risk than an interest rate swap of the same notional?

Glossary

FX swap
A spot exchange of two currencies combined with a forward deal to swap them back later. Usually short-term, with no interest payments in between.
Cross-currency swap
A swap that exchanges principal in two currencies at the start and back at the end, at the same rate, with interest paid in each currency in between.
Principal
The amount borrowed or lent. In a cross-currency swap it is actually exchanged, unlike the notional of an interest rate swap.
Cross-currency basis
An extra spread added to one floating leg of a cross-currency swap. It shows how much more one side will pay to borrow a currency, often the US dollar, through the swap market.
Exposure
What you would lose if the other side failed today: the value of the contract to you, if positive.

Deep Dives & Origins

Deep Dives

  • John C. Hull, Options, Futures, and Other Derivatives, 11th edition (Pearson, 2021), the chapter “Swaps”, section on currency swaps. Intermediate.
  • Claudio Borio, Robert McCauley, Patrick McGuire and Vladyslav Sushko, “Covered interest parity lost: understanding the cross-currency basis”, BIS Quarterly Review, September 2016. Intermediate.

Origins

  • John C. Hull, Options, Futures, and Other Derivatives, 11th edition, Pearson, 2021.
  • Borio, McCauley, McGuire and Sushko, BIS Quarterly Review, September 2016.
  • BCBS and IOSCO, Margin requirements for non-centrally cleared derivatives, BIS (2020 revision).
  • Board of Governors of the Federal Reserve System, Central bank liquidity swaps (web pages).

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