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Student in the M.S. in Mathematical Finance program at Rutgers. Previously a math researcher in academia.


Mar
18
comment Doesn't a perpetual option contradict the Black-Scholes framework?
@Alexey, I'm not sure I understand. Dynamically hedging the perpetual put would require shorting the stock for arbitrary lengths of time, would it not?
Mar
18
comment Doesn't a perpetual option contradict the Black-Scholes framework?
@Freddy, I didn't say that. I said "if".
Mar
16
comment Doesn't a perpetual option contradict the Black-Scholes framework?
That's my point though. If shorting stock for arbitrary lengths of time is not allowed, then how can you delta-hedge this perpetual option? And if you can't delta-hedge the option, how is the price you get under risk-neutral pricing argument the price?
Mar
15
comment Doesn't a perpetual option contradict the Black-Scholes framework?
Freddy, yes, I'm aware it's a theoretical construct, and my question is a theoretical one. Is that not appropriate for this site? Also, please rest easy that I am occupying the bulk of my time with other thoughts. :)
Nov
24
comment Why do ATM call options have a delta of slightly bigger than 0.5 and not 0.5 exactly?
Using r=0 is a great simplification that shows the real "culprit" behind the greater than 0.5 delta.