A Nonparametric Approach to Pricing and Hedging Derivative Securities Via Learning Networks

  • Authors:
  • James M. Hutchinson;Andrew Lo;Tomaso Poggio

  • Affiliations:
  • -;-;-

  • Venue:
  • A Nonparametric Approach to Pricing and Hedging Derivative Securities Via Learning Networks
  • Year:
  • 1994

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Abstract

We propose a nonparametric method for estimating derivative financial asset pricing formulae using learning networks. To demonstrate feasibility, we first simulate Black-Scholes option prices and show that learning networks can recover the Black-Scholes formula from a two-year training set of daily options prices, and that the resulting network formula can be used successfully to both price and delta-hedge options out-of-sample. For comparison, we estimate models using four popular methods: ordinary least squares, radial basis functions, multilayer perceptrons, and projection pursuit. To illustrate practical relevance, we also apply our approach to S\&P 500 futures options data from 1987 to 1991.