Hedging a Portfolio of Derivative Securities: A Simulation Approach

type="main" xml:lang="en"> <p>We illustrate a numerical simulation method to decompose a portfolio of derivative securities in a linear combination of dynamical risk factors. The price of the portfolio and its sensitivities are linear functions of these factors. <p>The method generalizes the static hedging theory proposed by Madan and Milne (1994) and applies to a dynamically complete, arbitrage free market with purely Brownian fluctuating assets. The extension to a class of market models whose volatility dynamics shows long memory and scaling behaviour is discussed and shown to be possible. (J.E.L.: G12).