Black & Scholes option pricing model is the most known amongst traders. Here is how one could derive it.

The presence of Volatility Skew modifies first of all the price of a call spread.

What is an option ?

Barrier options are almost exclusively OTC (Over The Counter ) products. Replication with vanilla options is sometimes a better deal.

This is one of the most flexible strategies using options..

Volatility Arbitrage, sometimes called Volatility Bets, is a alternative way to manage money using markets and derivatives.