Quote from riskfreetrading:
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Thanks Maw. The same here. Welcome!
PS1: Just to add that regarding the delta > 1, one may not even need to have the strike deep in the money.
One can just change variable ____ , include the positive extra carry (as you suggested), and voila.
Could the lizard fill the above ____?
PS2: Since you have interest in math, are you familiar with the property of the call price as a homogeneous function of stock and strike price. I used it recently to derive the whole pricing model in a short way. [/B][/QUOTE]
Hi RiskFreeTrading,
Sorry, I missed the post.
I read a lot of things about option pricing, but I'm not familiar "with the property of a call as a homogeneous function of stock and strike".
We are talking about vanilla products.
Since purchasing a call is a right to buy a particular asset for an agreed amount at a specified time in the future, that means the option value is a function of two variables : underlying price and time. Others factors are parameters ( hard one: strike, mild one:dividends, and soft ones :volatility rates).
If one states that strike is the only other variable, it sound as if time was a parameter. It could be pretty good to assume smile as an absolut measure that solely depends on strike.
But It's hard to imagine time as a parameter since time inevitably changes. We can't price an option without time changing. We can't price an option without spot changing (price would be obvious).
So, if you have informations about that, feel free to post few of them.
Cheers
Maw