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2
votes
1answer
80 views

How do I prove that $\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$?

I am trying to prove that $$\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$$ where $P(K,T)$ denotes the put option price with maturity $T$ and strike $K$ for some stock $S$. Assuming interest ...
0
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0answers
41 views

How to drive simple european put price under Gabillon 2-factor model?

Can someone explain to me for a Simple European Put payoff P(S,T) = max(K-S,0)), how to get simulation and calibration models using analytical approaches, binomial and trinomial trees, multi-factor ...
5
votes
1answer
194 views

Why is the Put-Call Symmetry model dependent?

The put-call symmetry states that C(S,t;X,r,q) = P(X,t;S,q,r), and that this works for American options. According to my notes, this is 'model dependent' because it ...