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I'm familiar with correlation trading from an FX perspective (I'm far far from an expert but I can explain as much as I can). In FX, correlation is essentially implied vols in a triangle of currencies. For example, think of Dollar as one corner, Euro as another and Swissy as the third corner of a triangle. Each side forms a pair (Eurodollar, Euro Swissy and dollar swissy). The length of the side can be thought of as the implied vol. The correlation can be found using the law of cosines, such that given a triangle with currencies usd, eur & chf:

correlation eur/chf & usd/chf = ((vol_eur/chf)^2 + (vol_usd/chf)^2 - (vol_eur/usd)^2)/(2(vol_eur/chf)(vol_usd/chf))

(this may need to be negative depending, I wasn't paying attention and dont feel like looking at it too closely)

So, as such you can compute the implied correlation given the vols. From this, its clear that pricing of first generation correlation products (correlation swaps) is one of the most simple things to do in exotic-land, its basically geometry. If I remember correctly, they are fairly easy to hedge, you just isolate your risks and price it in.

Second generation products could be something like baskets. One of the most common is like BRIC basket with the 4 currencies. Basic one is an option that is priced Sum(weight*ending_price/begining_price) and if its > 1 its ITM. They are cheaper than the individual vanillas because of correlation. Basically you are betting that BRIC will be correlated against the dollar. Same deal, you look at your risk profile and bump up the price based on expected hedging cost. First 4 vega risks (against the dollar) are pretty easy to compute and hedge, but the cross risks (like BRL/INR for example) are not easy to directly figure out, because there is not market for this, and even if there were it'd likely be too illiquid to be useful. So what you have to do is use the correlations figure out what additional risks are. Figuring out proper spread from the correlations and your second-order greeks is most of the art.

Client wise its a lot of speculative bets with global macro hedge funds. The baskets are highly levered because of the low premium needed. Also structured as notes to all sorts of clients, some private wealth.

I don't know if this makes much sense without much context, but if I can help any further I'll give it a shot.

*Edited the correlation, made a dumb mistake

Jack: They’re all former investment bankers who were laid off from that economic crisis that Nancy Pelosi caused. They have zero real world skills, but God they work hard. -30 Rock
 

And that's why I said I'd give the FX perspective... I never said it was the only one.

Jack: They’re all former investment bankers who were laid off from that economic crisis that Nancy Pelosi caused. They have zero real world skills, but God they work hard. -30 Rock
 

Correlation trading can refer to anything. You're basically trading for a pair to converge. That pair could be KO & PEP, Realized Vol & Implied Vol, UK swap spreads & Germany swap spreads, CDOs, anything.

The thing to think about is that shorting a correlation (i.e., trading for a convergence, and not a divergence)--this is basically what stat-arb is built around BTW--is effectively shorting volatility, i.e., you are naked short an option on the pair. And it trades that way too. 95% of the time, you make the 1-2% consistently on the convergence. Then the rare event comes, and the pair completely blows up; if you're leveraged, it can easily mean bye-bye birdy.

Somehow, people keep doing it anyway. Obviously there are controls to limit the blow-up (like using options as you go), but they quickly and easily can limit or eliminate the profit, since the perceived edge is often miniscule, and they can be less liquid to trade as well.

Further discussion on this?

 

There's also a lot of equity correlation trading. Index options have an implied underlying correlation, and based on that, you can trade options in individual names and offest that position in option of that index in order to basically go long or short correlation. There is a trend that most correlation traders exploit called the dispersion trading, and it suppposedly works most of the time. I'm not an expert in it, so google would probably offer a better explaination.

 

In credit land, correlation trading usually refers to CDO Tranches. The random events whose correlation we're measuring are corporate defaults.

Most generally, the lower tranches will usually have to absorb a certain % of losses due to default, then the next senior tranches begin aborbing, and so on.

Now, consider the environment of increased correlation. The lower tranches will actually go up in value, because the probability of reference entities not defaulting as a group has gone up, decreasing the expected loss on this tranche. Conversly, the likelihood of hitting the higher threshold of losses that will effect the senior tranches has increased, reducing the value of the senior tranche.

The opposite logic would work in decreased correlation. The junior tranches loose value, bc the likelihood of at least 1 default has increased. At the same time, the likelihood of hitting the senior threshold has decreased, making the senior tranches go up in value.

 

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