I agree, and your inequality makes the right point....basically, pricing is an absolute necessity. I also like the distinction between risk...
IV is not the unknown variable in BSM. IV is directly observed. It is the market price. The unknown variable is the instantaneous (actual)...
A simple debit spread is a risk-reversal and therefore unstable to spot, vol, skew, and passage of time. Maybe you can consider it hedged at the...
I think they likely view the strategy as an attempt to harvest the variance risk premium. I know there is a lot of debate about various risk...
I would argue that it would be a mistake for you to try and move beyond black-scholes at this point. Black-Scholes has a lot of flaws, yes, but...
Yes. I agree it is a very tall order to bridge the blackboard with the real world. All of the things you've mentioned are very real, difficult...
Yes, the outcome is different in terms of P&L variance. An unhedged ATM call option is just a ramp payoff to the upside. You will lose the...
If you buy or sell a fairly valued option and delta hedge at the correct actual volatility continuously, then you will earn the risk-free rate...
Sorry...from the original post I thought you were discussing a different area of the graph. Looks to me like a jump condition priced in for an...
I believe this is likely due to the fact that you're showing the surface using puts only. Often times the listed closing mark on a given day for...
Dynamic delta hedging MIGHT reduce the variance of your P&L, depending on what you are trading. How do you even know if you're calculating your...
Interesting question. But aren't there many assets that are bounded? Theoretically, a simple treasury bond is bound by 0, since market...
If I thought it was going to go up, I'd probably just buy the underlying. Yes, skew can be negative, positive, flat, or symmetric (smile)....
Interesting conversation here. Starting from the theoretical side, in a complete market with efficient pricing, continuous trading and hedging,...
One simple example with a vertical would be to assume that it is approximately like pricing a binary (the replicating portfolio for a binary...
Separate names with a comma.