Modelling and Pricing the Weather Derivative

Abstract The aim of this paper is to design a temperature foresting model which is able to model the daily temperature with accurate prediction and determine the most appropriate method to price the weather derivatives. In the temperature forecasting model, Fourier series is used to determine the...

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Main Author: Kung, Ling Wai
Format: Dissertation (University of Nottingham only)
Language:English
Published: 2008
Subjects:
Online Access:https://eprints.nottingham.ac.uk/22112/
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author Kung, Ling Wai
author_facet Kung, Ling Wai
author_sort Kung, Ling Wai
building Nottingham Research Data Repository
collection Online Access
description Abstract The aim of this paper is to design a temperature foresting model which is able to model the daily temperature with accurate prediction and determine the most appropriate method to price the weather derivatives. In the temperature forecasting model, Fourier series is used to determine the seasonal component of the daily temperature and the Ornstein-Unlenbeck process is used to model the trend and the residual. Wavelet analysis is used to simulate the seasonal variance of residual in the Ornstein-Unlenbeck temperature process. We also used neural network in order to model the seasonal variance of residual. Our model validated on the last ten year of historical temperature collected from Las Vegas McCarran International Airport traded at Chicago Mercantile Exchange. The results of our model showed that neural network provided a significant improvement on modelling the seasonal variance of the residual which lead to a better estimation on the daily temperature. In the pricing method of weather derivatives, four different types of pricing method are used to price several HDDs call option contract. This paper concluded that Monte-Carlo simulation is the most appropriate method to price the HDDs call option. Normal approximation can also be used to price the HDDs call option for in the money and at the money, but not for out of money.
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spelling nottingham-221122017-10-12T12:19:48Z https://eprints.nottingham.ac.uk/22112/ Modelling and Pricing the Weather Derivative Kung, Ling Wai Abstract The aim of this paper is to design a temperature foresting model which is able to model the daily temperature with accurate prediction and determine the most appropriate method to price the weather derivatives. In the temperature forecasting model, Fourier series is used to determine the seasonal component of the daily temperature and the Ornstein-Unlenbeck process is used to model the trend and the residual. Wavelet analysis is used to simulate the seasonal variance of residual in the Ornstein-Unlenbeck temperature process. We also used neural network in order to model the seasonal variance of residual. Our model validated on the last ten year of historical temperature collected from Las Vegas McCarran International Airport traded at Chicago Mercantile Exchange. The results of our model showed that neural network provided a significant improvement on modelling the seasonal variance of the residual which lead to a better estimation on the daily temperature. In the pricing method of weather derivatives, four different types of pricing method are used to price several HDDs call option contract. This paper concluded that Monte-Carlo simulation is the most appropriate method to price the HDDs call option. Normal approximation can also be used to price the HDDs call option for in the money and at the money, but not for out of money. 2008 Dissertation (University of Nottingham only) NonPeerReviewed application/pdf en https://eprints.nottingham.ac.uk/22112/1/08MSclixlwk.pdf Kung, Ling Wai (2008) Modelling and Pricing the Weather Derivative. [Dissertation (University of Nottingham only)] (Unpublished) Weather Derivative Neural Network Ornstein-Unlenbeck Temperature Process
spellingShingle Weather Derivative
Neural Network
Ornstein-Unlenbeck Temperature Process
Kung, Ling Wai
Modelling and Pricing the Weather Derivative
title Modelling and Pricing the Weather Derivative
title_full Modelling and Pricing the Weather Derivative
title_fullStr Modelling and Pricing the Weather Derivative
title_full_unstemmed Modelling and Pricing the Weather Derivative
title_short Modelling and Pricing the Weather Derivative
title_sort modelling and pricing the weather derivative
topic Weather Derivative
Neural Network
Ornstein-Unlenbeck Temperature Process
url https://eprints.nottingham.ac.uk/22112/