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Stochastic financial models for electricity derivatives.

机译:电力衍生产品的随机金融模型。

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摘要

The mean-reverting nature and seasonal patterns of electricity prices throughout the world provide evidence that pricing techniques which rely on random walk assumptions and storage costs may be inappropriate for pricing electricity derivatives. Instead, economic intuition and examination of empirical data suggest that forces of supply and demand produce some predictable spot price behavior which nevertheless remains consistent with no arbitrage theories.; Through formal empirical comparison of four diffusion models and their jump-diffusion counterparts, we show that "geometric" Ornstein-Uhlenbeck mean-reversion (with jumps) is generally superior at characterizing the dynamic behavior of electricity spot prices than Brownian motion, Ornstein-Uhlenbeck mean-reversion, and geometric Brownian motion (without and with jumps). Specifically, we conduct twelve log-likelihood comparisons of these models: three each for data series from Norway, the United Kingdom, California, and Victoria, Australia, and find that this model is the best performer in nine of the races and is a strong performer in the remaining three.; We then derive the dynamics of electricity derivative prices implied by this "winning" model of spot price dynamics. By examining the implied dynamic behavior of the expected prices, we avoid estimation of storage costs and convenience yield in deriving a general derivative pricing formula. For the diffusion model, the derivation is based upon replication arguments, while in the jump-diffusion model, we assume the existence of a state-price deflator which prices both the jump and diffusion risks systematically. The derived solutions for forward, call, and put prices reflect this dynamic behavior and suggest a methodology for determining derivative prices in non-storable commodity markets. Examination of related literature shows consistency with existing theories and empirical studies concerning expected risk premium, the theory of storage, convenience yield, and seasonality.
机译:世界各地电价的均值回归性质和季节性模式提供了证据,证明依赖于随机游走假设和存储成本的定价技术可能不适用于对电力衍生物进行定价。取而代之的是,经济直觉和对经验数据的检验表明,供需力量产生了一些可预测的现货价格行为,但仍与无套利理论保持一致。通过对四个扩散模型及其跳跃扩散模型的形式经验比较,我们发现,“几何” Ornstein-Uhlenbeck均值回归(带有跳跃)通常比布朗运动(Ornstein-Uhlenbeck)在表征电价的动态行为方面更具优势。均值回复和几何布朗运动(无跳跃)。具体来说,我们对这些模型进行了十二次对数似然比较:来自挪威,英国,加利福尼亚和澳大利亚维多利亚的数据系列各获得三个对数似然比,发现该模型在九项比赛中表现最佳,并且表现出色剩下的三个表演者。然后,我们得出这种“获胜”的现货价格动态模型所隐含的电力衍生价格动态。通过检查预期价格的隐含动态行为,我们在推导一般的衍生定价公式时避免了估计仓储成本和便利收益。对于扩散模型,推导基于复制参数,而在跳跃扩散模型中,我们假设存在状态价格平减指数,该系数会系统性地为跳跃和扩散风险定价。衍生的远期,看涨和看跌价格解决方案反映了这种动态行为,并提出了一种确定不可储存商品市场中衍生产品价格的方法。相关文献的检查表明,与现有的理论和经验研究相一致,这些理论和经验研究涉及预期风险溢价,存储理论,便利性收益和季节性。

著录项

  • 作者

    Barz, Graydon Lee, Jr.;

  • 作者单位

    Stanford University.;

  • 授予单位 Stanford University.;
  • 学科 Statistics.; Economics Finance.; Operations Research.
  • 学位 Ph.D.
  • 年度 1999
  • 页码 101 p.
  • 总页数 101
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 统计学;财政、金融;运筹学;
  • 关键词

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