October 19th, 2010, 3:50 pm
Judging from your scenarios you described you (mainly) have two vanilla trades to choose from (or a combination of both):1) Sell protection on CDX (in USD), buy protection on iTraxx (in EUR) and dynamically rebalance your CDX notional with the EUR/USD exchange rate2) Buy EUR against USD as a speculative tradeLet's ignore the second option and focus on the credit (and correlation) strategyIf CDX tightens and iTraxx widens by same %PV in each currency and EUR/USD goes up at the same time, you will experience a loss. Here, the positive USD PV on CDX will be less than the negative EUR PV on iTraxx (those PVs would be equal if FX rate was unchanged). Generally speaking: the higher the correlation is in reality, the worse your trade performance will be (compared to same strategy, but lower correlation)Let's assume someone is willing to show your price in CDX quoted in EUR (quanto). Back of the envelope it should be something like this: If the implied correlation in the quanto is less than the correlation you expect in reality = You should trade the quanto If the implied correlation in the quanto is higher than the correlation you are expecting = You should trade the vanilla strategy If the implied correlation is way too high (compared to realistic expectations) might even consider separately buying protection in CDX in EUR and selling protection on CDX in USD and rebalancing the notional, hoping for a lower correlation than implied.(In reality it's obviously a bit more complicated, as we are assuming that all the potentially wild 2-dimensional scenarios are accurately captured in one single correlation parameter. That is an oversimplification at best)