"Over the course of the nineteenth century, the struggles of Paris Bourse to manage counterparty risk revealed the awkward choices that face derivatives exchanges. Shortly after it was founded, the stock exchange, primarily a forward market, instituted a mutual guarantee fund to prevent broker...

In this short paper, we study the asymptotics for the price of call options for very large strikes and put options for very small strikes. The stock price is assumed to follow the Black-Scholes models. We analyze European, Asian, American, Parisian and perpetual options and conclude that the...