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Black-Scholes is a mathematical model used for pricing options.

1 vote
Accepted

Self-financing and Black-Scholes-Merton formula

OK, I think now I got the point, after comparing to Shreve's "Stochastic calculus for finance I, The binomial asset pricing model", the simpler case. The pricing theory in continuous time is: Defi …
athos's user avatar
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15 votes
6 answers
8k views

Self-financing and Black-Scholes-Merton formula

Self-financing is an important concept in financial product replicating, normally used in pricing. I read about several ways to derive Black-Scholes-Merton (BSM) formula. Seems some approaches actua …
athos's user avatar
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2 votes

American Swaption Pricing with Monte-Carlo method

American options pricing (swaption is just a kind of option) is a bit tricky due to the early exercise. Here is a page listing possible approaches, including some numeric methods, and some close form …
athos's user avatar
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10 votes
3 answers
785 views

Is it possible to demonstrate that one pricing model is better than another?

Take the classic GBM (geometric Brownian motion) model for equities as an example: ds = mu * S * dt + sigma * S * dW. It is the basis for the classic Black-Scholes formula. The model says volatili …
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