放大过滤下电力期货期权定价研究

M. Hess
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引用次数: 4

摘要

基于多种算法的多因素Ornstein-Uhlenbeck现货价格模型,推导出了普通和特殊电力期货衍生品的风险中性期权价格公式。在这些设置中,我们通过对基础信息过滤的多次初始放大,考虑到对未来价格行为的额外前瞻性知识。在这种内幕交易的背景下,我们也将电价与室外温度联系起来,并在补充温度预测下处理相关的定价问题。同时,我们使用傅里叶变换技术和复分析的结果来处理新出现的预期条件期望。作为副产品,我们产生了相关的风险和信息溢价。本文可以看作是[4]和[5]的推广,因为[4]没有涉及期货信息,[5]没有考虑期权定价。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pricing Electricity Futures Options under Enlarged Filtrations
We derive risk-neutral option price formulas for plain-vanilla and exotic electricity futures derivatives on the basis of diverse arithmetic multi-factor Ornstein-Uhlenbeck spot price models admitting seasonality. In these setups, we take additional forward-looking knowledge on future price behavior into account via multiple initially enlargements of the underlying information filtration. In this insider trading context, we also correlate electricity prices with outdoor temperature and treat a related pricing problem under supplementary temperature forecasts. Meanwhile, we use Fourier transform techniques and results from complex analysis to handle the emerging anticipating conditional expectations. As a by-product we derive related risk and information premia. The paper can be regarded as an extension of [4] and [5], since in [4] no future information is involved while in [5] no option pricing is considered.
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