Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
0 answers
69 views

Asymptotic behavior of implied volatility at probability mass [closed]

For sake of simplicity, let us suppose that interest rate is zero, stock price is 1, and time to expiry is 1. I am interested in implied volatility that gives the following put price. $$P(k, \sigma(k))...
JEK's user avatar
  • 19
5 votes
4 answers
395 views

Asymptotics of Call Option as $S\to0$

Let $C(S)$ denote the (initial) value of a call option with underlying spot price $S$. I assume that the underlying has continuous sample paths (not necessarily a geometric Brownian motion though). As ...
Alex's user avatar
  • 688