August 29 2011

Eric Hiller

Head of Derivatives Strategy

+1 203 897 2652

eric.hiller@rbs.com

Ryan Graf

Rates Strategy

+1 312 664 7085

ryan.graf@rbs.com

www.rbsm.com/strategy Bloomberg: RBSR<GO>

Please see the last page of this publication for important disclosures.

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Cross-Currency Basis Swaps: The Supply Effect

The EUR/USD currency swap is being used by European financial institutions to fund USD assets when repo lines or raising USD through commercial paper, CDs, or other funding sources becomes too expensive or inaccessible (borrowing dollars). This market is showing signs of funding stress which we look at in some detail below.

European corporations, agencies, supranationals and sovereigns use the cross-currency basis swap to swap USD issuance back into Euro (lending dollars).

The EUR/USD cross currency basis swap is currently attractive for European issuers looking to issue in dollars and swap it back to euros. For instance, as highlighted below, some issuers could do this and improve their funding levels by over 40 bp.

The attractive levels could prompt USD issuance to fund the European bailouts, and if this occurs, we expect the basis to narrow.

An increase in the use of the Fed and ECB’s swap lines could also narrow the basis.

The main factors that have resulted in a more attractive basis swap include European bank funding concerns, demand for USD from European financial institutions, and a decline in USD issuance from European corporate and SSA issuers.

Potential Source of New European USD Supply

Our European strategists continue to expect the lending capacity of the European Financial Stability Facility (EFSF) to increase from EUR 256 bn to EUR 440 bn1. The increase is subject to parliamentary approval in the EU which is expected to be completed by the end of September or the beginning of October at the earliest. Our European strategists currently think about 25% of the issuance could be in USD which would equate to as much as $158 bn at current FX rates. The exception would be if EFSF issuance ended up being fairly low (i.e. EUR 50 bn or less).

As we outline below, the cross currency basis makes USD issuance relatively more attractive for EFSF and other European issuers. If they

1 See The All New and Improved EFSF by our European strategists for more details.

The Royal Bank of Scotland

are able to fund in USD at similar local spreads, current basis swap levels would makes it very attractive for the EFSF to ramp up USD issuance. In addition, it is highly likely that such issuance and the swapping activity would push the currency basis back toward less stressed levels.

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Longer Tenor Cross Currency Swaps Affected by Issuance

Longer-term cross currency basis swaps are strongly related to supply and demand of USD and have been less volatile than shorter maturity basis swaps as seen in figure 2. In fact, the longer term EUR/USD basis swap levels closely track USD issuance from European corporations and SSA as highlighted below. When a European issuer issues in USD and uses the basis swap to convert the USD into EUR, it supplies USD to European financial institutions causing the basis to become less negative. The lopsided demand for USD funding drove the basis negative and an offsetting flow from issuers would reduce the supply/demand imbalance.

Figure 1: Yankee issuance from Euro area corporations and SSA has had a tendency to push the term EUR/USD basis closer to zero

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Jan-10 Apr-10 Jul-10 Oct-10 Jan-11 Apr-11 Jul-11

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Avg Monthly Basis Swap Level (bp)

Issuance Avg 3yr EUR/USD Basis Swap 2M Moving Avg. (Issuance)

Source: RBS, Dealogic, Bloomberg

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The Royal Bank of Scotland

Figure 2: The EUR/USD basis provides a funding advantage to Yankee issuers which has varied with time and time to maturity

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0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0

26-Nov-10 28-Feb-1126-May-11 26-Aug-11

EUR

/USD

bas

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ps)

Maturity (years)

Source: RBS

Fed Swap Lines Affected the Basis

Another factor which affected the basis in the past was the Fed’s USD swap lines with foreign central banks. As part of its effort to deal with the liquidity crisis of late 2008, the Fed ramped up its USD swap lines with foreign central banks, and open lines reached almost $600 bn at the peak. This led to a normalization of the cross currency basis to pre-crisis levels. If the current funding situation were to worsen, USD from the Fed’s central bank swap lines could collapse the basis.

Figure 3: Fed Swap Lines versus 3m EUR/USD Basis Swap

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Basis Swap (bp)

USD Swap Lines EUR/USD 3m

Source: RBS, NY Fed, Bloomberg

Benefiting from the Wide Basis

For European issuers, the benefits of issuing in USD and utilizing the basis swap include diversification of funding and potentially more attractive funding levels. Whether or not it ultimately makes sense for a European issuer to issue in USD depends not only on where the basis swap is but also funding levels in each currency. For example, by

The Royal Bank of Scotland

issuing in USD and using a basis swap to convert to EUR, the European Investment Bank (EIB) can currently recognize a 44 bp funding advantage over where their 5yr EUR debt is trading as seen below2.

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Figure 4: A Cross Currency Funding Example with EIB

5yr Levels USD EUREUR Eqivalent of USD

Funding Level

Spread (bp) Libor + 5 bp Euribor + 5 bp Euribor - 39 bp

Source: RBS, NY Fed, Bloomberg

Figure 5: Steps to Convert USD Funding to EUR Funding

1) Issuer sells a USD debenture2) If fixed rate, issuer uses a vanilla USD interest rate swap to convert those cash flows to floating rate (3mL + spread)

3) Cross-currency basis swap converts USD 3mL payments to 3m Euribor + spread

4) A Euribor 3s6s basis swap converts 3m Euribor + spread to 6m Euribor + spread

5) All of these swaps can be done as one transaction

Source: RBS

EFSF has issued three EUR deals to date totaling EUR 13 bn, but it is unclear where USD debt would trade. In EUR, 5yr EFSF currently trades at Euribor + 8 bp or 3 bp wider than EIB. A similar spread in USD would imply a level of L + 8 bp. This level would represent a significant funding advantage for EFSF as it equates to Euribor – 35 bp. Turning this around, it also means that EFSF (and other European issuers could issue at significantly wider levels in dollars than in euros and the funding would still be attractive.

What does the basis tell us about funding stress?

One of the main drivers of the 3m EUR/USD cross currency basis swais USD demand from European banks or other institutional investors. These investors need to fund USD assets but repo lines or raising USDthrough commercial paper, CDs, or other funding sources may be too expensive or inaccessible. While these institutions could sell EUR, buy USD and own the assets, this would instantly convert a credit decisiinto a major currency risk. Instead, these institutions turn to the FX market, selling euros for dollars on a spot basis and simultaneously selling the dollars back at a future date in an FX swap. This lets the institutions fu

p

or are sold.

EUR/USD Basis Swap Mechanics

on

nd dollar assets until the forward rolls off or assets mature

To borrow USD, one can enter into a 3m FX swap (or a 3m cross currency basis swap which is effectively the same). The institution sells

2 Note: The cross currency basis swap converts 3m Libor to 3m Euribor. Spreads to Euribor for EUR bonds are spread to 6m Euribor. Thus, the Euibor 3s6s basis swap also contributes to the funding advantage.

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ter.

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currency basis is the relative difference in funding rates as follows:

swap spread, x, in percent (for a T day period) is the following:

(1+u*T/360)*eur/eurfwd = (1+(e+x)*T/360)

u

euros

ct of the rate settings and the effective funding in the currency swap.

g

actual funding rates that can vary significantly from Libor and Euribor.

(1+u’*T/360)/(1+e’*T/360) = 1 + (u’-e’)*T/360 + higher order terms.

ad

ions and custom expressions, the basis spread x, in basis points is:

y + EUR3M Curncy / 10000) - 1) / (92 / 360) - EUR003M Index / 100)

EUR and buys USD spot and also agrees to the unwind 3-months laGiven that the market is overflowing with institutions trying to raise dollars in the same direction, the forward foreign exchange transactioccurs at a less attractive effective funding level. Parity argumentsuggest that the effective cost is supposed to reflect the funding differential (actually the discount function ratio) derived from US andEUR rates. However, the actual funding rates are not equivalent to Libor and Euribor, so the basis, which is described as a spread on thEuribor side versus Libor flat, is not zero. Thus, the basis swap level reflects the value of a money-market account in one currency divided by the money-market account in the other currency which is then converted back into a spread to Euribor. The single period cross-

If e = Euribor and u = US Libor (both in percent) then the usual assumption for the basis

In words, I give you a dollar on the spot date versus euros, and yoagree to pay me back the same number of dollars plus interest computed at Libor. I agree to give you back the same number ofplus interest computed at Euribor plus a spread. Economically, I should be indifferent whether we enter a basis swap or an FX swap which means that the basis swap spread x neutralizes the effe

An FX swap also converts dollars to euros at the spot rate and then converts the euros back to dollars a new rate when the swap ends (thenew rate is the forward rate at the time the swap is entered into). The FX swap expresses the economics in a drop instead of an interest ratespread. One difference however, is that the market drop reflects the fact that the borrowing of USD does not happen at “u” nor the lendinof EUR at “e” but at two other effective rates u’ and e’. Thus, the FX swap reflects

eurfwd/eur = (eur + drop) / eur =

With these two expressions we can compute the 3-month basis sprefrom the 3-month drop. Putting it in terms that translate directly into Bloomberg funct

X = 10000 * (((1 + US0003M Index * 92 / 36000) * EUR Curncy / (EUR Curnc

The Royal Bank of Scotland

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6

y he

tly smaller which

Where EUR3M is the 3-month FX drop and T was set to an average dacount of 92 days as an approximation for the 3-month period3. Tsame basis expression can easily be computed versus USD OIS andEonia by replacing US0003M with USSOC and EUR003M with EUSWEC. The basis to the OIS curves is significanmay better focus the attention on the source of the distortion—Libor or

the Euribor and

remaining bias to receive dollars.

Figure 6: EUR/USD Basis Swap (CalcLibor and Euribor)

ulated with Figure 7: Implied EUR/USD Basis Swap spread to Eonia versus OIS

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Source: RBS Source: RBS

Moving from a 3-month basis swap (or FX swap) to the longer tenor basis swap

Adding periods to the basis swap appends a forward starting versionof the above calculation. The forward discounting rates embed a pair of FX forwards which is economically converted into a spread to the Euribor side. The mid-market basis spread is the spread that brings thtotal value of the multiple cash flows to zero. For a 3-month period, theFX swap market tends to be more liquid than the currency basis. For much longer-terms or mu

e

tiple resets, the cross-currency basis swap tends to be much more convenient and converts the full economics

to a spread to funding.

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expression can be used to generate a custom Bloomberg index. However, Bloomberg’s historical convention defaults for

rencies must be set to display points rather than outrights. To ensure this, on PDFN <GO>, under the “Defaults only apply to CURRENCIES” section, set the Forward Rates option to 1.

3 This cur

The Royal Bank of Scotland

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Contributors

Treasury Strategist (203) 897-4689 john.briggs@rbs.com John Briggs

Senior US Economist (203) 897-2818 michelle.girard@rbs.com Michelle Girard

Agency Strategist (312) 664-7085 ryan.graf@rbs.com Ryan Graf

Head of Derivatives Strategy (203) 897-2652 eric.hiller@rbs.com Eric Hiller

Head of Agency Strategy (312) 664-7085 margaret.kerins@rbs.com Margaret Kerins, CFA

Jim Lee Head of Short Term Markets and (203) 897-4652 jim.lee8@rbs.com

Futures & Options Strategy

Short Term Markets Strategist (203) 897-4666 natan.magid@rbs.com Natan Magid

Head of Treasury Strategy (203) 897-9803 william.odonnell@rbs.com William O’Donnell

Head of Strategy, North America (203) 897-9430 john.richards@rbs.com John Richards

US Economist (203) 897-2818 omair.sharif@rbs.com Omair Sharif

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