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A neural network versus Black-Scholes: A comparison of pricing and hedging performances

Amilon, Henrik LU (2003) In Journal of Forecasting 22(4). p.317-335
Abstract
The Black-Scholes formula is a well-known model for pricing and hedging derivative securities. It relies, however, on several highly questionable assumptions. This paper examines whether a neural network (MLP) can be used to find a call option pricing formula better corresponding to market prices and the properties of the underlying asset than the Black-Scholes formula' The neural network method is applied to the out-of-sample pricing and delta-hedging of daily Swedish stock index call options from 1997 to 1999. The relevance of a hedge-analysis is stressed further in this paper. As benchmarks, the Black-Scholes model with historical and implied volatility estimates are used. Comparisons reveal that the neural network models outperform the... (More)
The Black-Scholes formula is a well-known model for pricing and hedging derivative securities. It relies, however, on several highly questionable assumptions. This paper examines whether a neural network (MLP) can be used to find a call option pricing formula better corresponding to market prices and the properties of the underlying asset than the Black-Scholes formula' The neural network method is applied to the out-of-sample pricing and delta-hedging of daily Swedish stock index call options from 1997 to 1999. The relevance of a hedge-analysis is stressed further in this paper. As benchmarks, the Black-Scholes model with historical and implied volatility estimates are used. Comparisons reveal that the neural network models outperform the benchmarks both in pricing and hedging performances. A moving block bootstrap is used to test the statistical significance of the results. Although the neural networks are superior, the results are sometimes insignificant at the 5% level. Copyright (C) 2003 John Wiley Sons, Ltd. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
neural networks, option pricing, hedging, bootstrap, inference, statistical
in
Journal of Forecasting
volume
22
issue
4
pages
317 - 335
publisher
John Wiley & Sons Inc.
external identifiers
  • wos:000184482200003
  • scopus:0042697754
ISSN
1099-131X
DOI
10.1002/for.867
language
English
LU publication?
yes
id
33a6f474-b1b0-426e-8286-9c24b550559d (old id 900075)
date added to LUP
2016-04-01 11:48:48
date last changed
2022-04-13 01:40:56
@article{33a6f474-b1b0-426e-8286-9c24b550559d,
  abstract     = {{The Black-Scholes formula is a well-known model for pricing and hedging derivative securities. It relies, however, on several highly questionable assumptions. This paper examines whether a neural network (MLP) can be used to find a call option pricing formula better corresponding to market prices and the properties of the underlying asset than the Black-Scholes formula' The neural network method is applied to the out-of-sample pricing and delta-hedging of daily Swedish stock index call options from 1997 to 1999. The relevance of a hedge-analysis is stressed further in this paper. As benchmarks, the Black-Scholes model with historical and implied volatility estimates are used. Comparisons reveal that the neural network models outperform the benchmarks both in pricing and hedging performances. A moving block bootstrap is used to test the statistical significance of the results. Although the neural networks are superior, the results are sometimes insignificant at the 5% level. Copyright (C) 2003 John Wiley Sons, Ltd.}},
  author       = {{Amilon, Henrik}},
  issn         = {{1099-131X}},
  keywords     = {{neural networks; option pricing; hedging; bootstrap; inference; statistical}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{317--335}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{Journal of Forecasting}},
  title        = {{A neural network versus Black-Scholes: A comparison of pricing and hedging performances}},
  url          = {{http://dx.doi.org/10.1002/for.867}},
  doi          = {{10.1002/for.867}},
  volume       = {{22}},
  year         = {{2003}},
}