Nonparametric Approach to Pricing and Hedging Derivative Securities Via LearningNetworks

摘要

We propose a nonparametric method for estimating derivative financial assetpricing 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 SP 500 futures options data from 1987 to 1991. Option pricing, Learning, Finance, Black-Scholes, Hedging.