Quote from uglyboy:
One of the things that interested me in this thread was the (semi) numerate discussions and the relative lack of boasting one one hand and abuse on the other. It's a bit sad that this thread is starting to degenerate. Perhaps now that there is a bit more volatility, it may be possible to get back to the OPs original aim- the discussion of credit spreads and related strategies.
In this spirit, I present a diagram that I've marked up, showing the theoretical distribution of prices assumed by the Black Scholes model and Merton's derivation (which is the basis of the theoretical value software you are all using - you are calculating theoretical values right?) Overlaid is a histogram of actual price distributions. This actual distribution is, as you all know, leptokurtotic. Notice that there is a significant difference in the frquency of events at 0, 1 and >2 sigma in real data as compared to that predicted by a logarithmic distro.
So here is a question for the newbies:
1) What does this imply about where you should be buying/selling options in your spreads?
2) Here's a question for the not-newbies: If this is true, why am I telling a bunch of strangers?
Ugly
As a newbie, I don't think we have enough info for making any trading decision based on the statistical distribution.
How are options priced? It never prices on hv. If it is priced based on statistical volatility, then obviously the atm is underpriced. However most of the time, IV is higher than HV, and so it is not easy to draw any trading conclusion from the graph.
I know the answer is naive, and wish you can provide a better answer for me.