# Using Euro CDS for a USD transaction

I'm working under the assumption that CDS spreads are not as sensitive to currency as bonds. As long as default risk and FX risk are independent, CDS spreads in different currencies should not differ (or at least such difference should be small – there will likely be some effect from different term structure of the hazard rate vs. the forward FX rate, and some from supply and demand).

Is there a good citation for this?

• It depends the company. If it's a very large us company, then you can be fairly sure that if it defaults, it's an indicator of choppy seas for the US economy. If it's some tiny irrelevant company, then they'll be the same. Read this article "Quanto CD, - the window-maker". – will Dec 9 '17 at 11:45
• Note that this assumption is wrong if you are referring to Sovereign CDS, in fact for some countries such as Italy there is a significant basis between USD and EUR CDS due to the correlation between sovereign and currency. – Daneel Olivaw Jun 7 '18 at 15:59
• @DaneelOlivaw read the article i link, it talks about exactly this. – will Jun 7 '18 at 23:49

It depends on what you want to do.

First of all, read this article - it's not the same question, but it talks about the same problem that you'll face here. Namely, that when a default event occurs, it is not always isolated.

(assume that the EURUSD fwd curve F(t) = 1.0 - i.e. the forward curve is just a flat 1 everywhere)

1. If Google default, you get \$1mm 2. If Google defaults, you get €1mm 3. If Your local family run Pizza co. defaults, you get \$1mm
4. If Your local family run Pizza co. defaults, you get €1mm

We now have a few things to think about:

1. What you would expect to happen to the EURUSD exchange rate if Your local family run Pizza co. defaults - probably nothing - so trades 3 and 4 would be worth the same.
2. And the same question if Google were to default?
3. What would you expect to happen if the US economy, as a whole, got into a really bad state?
4. What would you expect to happen if the EU economy, as a whole, goes down the toilet?

1. I would expect the US economy not to notice the default of a small pizza chain, and so EURUSD is unlikely to change.
2. A huge company like Google defaulting is an entirely different matter - of course it's unlikely to have happened over night, but that doesn't matter - we would expect that EURUSD is going to go up, such that recieving €1mm will now be worth more to you than receiving \\$1mm.
3. If the US economy tanks, then EURUSD will likely go up, making EURUSD go up, increasing the value of the EUR denominated CDS - but also changing the default probabilities too - small businesses will have a harder time remaining surviving turbulent times than large companies able to weather the storm.
4. If the EU gets into a huge mess, then EURUSD will go down, but the default probabilities will remain reasonably unchanged, and the USD denominated CDS instruments will be worth more.

So again, there are now multiple takeaways from this:

If you are speculating, then you will want to chose the denomination which matches your sentiment on the economies, and you'll want to make sure that the difference in price you get for the two matches your perception of the correlation/dependence between the default events and the FX shocks. This will be difficult for you to do anything other than speculate on, as these are going to be sold to you by entities that likely have more information than you do...

If on the other hand (as the title suggests) you are hedging, then you want to use the product which most closely matches the structure you're hedging. If you do not, then you are adding in extra exposure to the "Quanto CDS", which as the FT Alphaville article suggests, is not a trivial product.

As an aside, in your question, you say that you feel there should be a difference in CDS spreads coming from the different shapes of the FX fwd curves. Yes, this is of course true - but there are multiple effects:

1. FX forward curves change the weighting of the default probabilities (i.e. the hazard curve) throughout the CDS swap.
2. Supply and demand - if there are many trades on XYZ in USD which require the credit risk hedging away, and far fewer in EUR, then this will affect the spreads.
3. Correlation/dependence between the default events and FX shocks meaning that the payout, conditional on the default event, are not worth the same, and so must be adjusted.