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Stochastic Model Genetic Programming: Deriving Pricing Equations for Rainfall Weather Derivatives

Cramer, Sam, Kampouridis, Michael, Freitas, Alex A., Alexandridis, Antonis (2019) Stochastic Model Genetic Programming: Deriving Pricing Equations for Rainfall Weather Derivatives. Swarm and Evolutionary Computation, 46 . pp. 184-200. ISSN 2210-6502. E-ISSN 2210-6510. (doi:10.1016/j.swevo.2019.01.008)

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Abstract

Rainfall derivatives are in their infancy since starting trading on the Chicago Mercantile Exchange (CME) in 2011. Being a relatively new class of financial instruments there is no generally recognised pricing framework used within the literature. In this paper, we propose a novel Genetic Programming (GP) algorithm for pricing contracts. Our novel algorithm, which is called Stochastic Model GP (SMGP), is able to generate and evolve stochastic equations of rainfall, which allows us to probabilistically transform rainfall predictions from the risky world to the risk-neutral world. In order to achieve this, SMGP’s representation allows its individuals to comprise of two weighted parts, namely a seasonal component and an autoregressive component. To create the stochastic nature of an equation for each SMGP individual, we estimate the weights by using a probabilistic approach. We evaluate the models produced by SMGP in terms of rainfall predictive accuracy and in terms of pricing performance on 42 cities from Europe and the USA. We compare SMGP to 8 methods: its predecessor DGP, 5 well-known machine learning methods (M5 Rules, M5 Model trees, k-Nearest Neighbors, Support Vector Regression, Radial Basis Function), and two statistical methods, namely AutoRegressive Integrated Moving Average (ARIMA) and Monte Carlo Rainfall Prediction (MCRP). Results show that the proposed algorithm is able to statistically outperform all other algorithms.

Item Type: Article
DOI/Identification number: 10.1016/j.swevo.2019.01.008
Uncontrolled keywords: Weather derivatives, rainfall, pricing, stochastic model genetic programming
Divisions: Faculties > Sciences > School of Computing
Faculties > Social Sciences > Kent Business School
Depositing User: Michael Kampouridis
Date Deposited: 30 Jan 2019 09:43 UTC
Last Modified: 30 May 2019 08:51 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/72082 (The current URI for this page, for reference purposes)
Kampouridis, Michael: https://orcid.org/0000-0003-0047-7565
Alexandridis, Antonis: https://orcid.org/0000-0001-6448-1593
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