Question: Assume the following values when none is specified: So = 1 0 0 sigma = 2 0 % T = 1 K = 1
Assume the following values when none is specified:
So
sigma T K r
Assume your stock is driven by the following historical probability diffusion:
dSt mu dtsigma dWt St
With mu Lets say you sold the call at inception using the BSM formula with the correct volatility and you are going to hedge your portfolio using the BSM delta.
What do you expect your final PnL to be
What is the distribution of your final PnL at maturity if you are performing a monthly hedge? What is the distribution of your final PnL at maturity if you are performing a weekly hedge? What is the distribution of your final PnL at maturity if you are performing a daily hedge?
Conclusion?
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