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John C. Hull is a professor of Derivatives and Risk Management at the Rotman School of Management at the University of Toronto. [3] [4]He is a respected researcher in the academic field of quantitative finance (see for example the Hull-White model) and is the author of two books on financial derivatives that are widely used texts for market practitioners: "Options, Futures, and Other ...
The main principle behind the model is to hedge the option by buying and selling the underlying asset in a specific way to eliminate risk. This type of hedging is called "continuously revised delta hedging" and is the basis of more complicated hedging strategies such as those used by investment banks and hedge funds.
A related term, delta hedging, is the process of setting or keeping a portfolio as close to delta-neutral as possible. In practice, maintaining a zero delta is very complex because there are risks associated with re-hedging on large movements in the underlying stock's price, and research indicates portfolios tend to have lower cash flows if re ...
In mathematical finance, a Monte Carlo option model uses Monte Carlo methods [Notes 1] to calculate the value of an option with multiple sources of uncertainty or with complicated features. [1] The first application to option pricing was by Phelim Boyle in 1977 (for European options ).
For example, if the delta of a portfolio of options in XYZ (expressed as shares of the underlying) is +2.75, the trader would be able to delta-hedge the portfolio by selling short 2.75 shares of the underlying. This portfolio will then retain its total value regardless of which direction the price of XYZ moves.
Sellers of option contracts often hedge them to create delta neutral portfolios. The objective is to minimize risk due to the movement of the underlier's price, while implementing whatever strategy led to the sale of the options in the first place.