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A Stochastic Factor Model for Risk Management of Commodity Derivatives

Zi-Yi Guo
- pp 26-42
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TLDR
In this article, the authors apply Schwartz and Smith's model to calculate risk measures of Brent oil futures contracts and light sweet crude oil (WTI) futures contracts, and they show that the two factors explain the Samuelson effect well and the model present well goodness of fit.
Abstract
In the last two years, the world crude oil prices have dropped dramatically, and consequently the oil market has become very volatile and risky. Since energy markets play very important roles in the international economy and have led several global economic crises, risk management of energy products prices becomes very important for both academicians and market participants. We apply Schwartz and Smith?s model (2000) to calculate risk measures of Brent oil futures contracts and light sweet crude oil (WTI) futures contracts. The model includes a long-term factor and a short-term factor. We show that the two factors explain the Samuelson effect well and the model present well goodness of fit. Our backtesting results demonstrate that the models provide satisfactory risk measures for listed crude oil futures contracts. A simple estimation method possessing quick convergence is developed.

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Empirical Performance of GARCH Models with Heavy-tailed Innovations

TL;DR: In this paper, a new type of heavy-tailed distribution, the normal reciprocal inverse Gaussian distribution (NRIG), was introduced to the GARCH and Glosten-Jagannathan-Runkle (1993) GARCH models.
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Heavy-Tailed Distributions, Volatility Clustering and Asset Prices of the Precious Metal

TL;DR: In this paper, the authors apply the GARCH model with heavy-tailed distributions into the palladium spot returns series for risk management purpose, and compare empirical performance of the Student's t distribution and the normal reciprocal inverse Gaussian (NRIG) distribution.
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Dynamic Stochastic Factors, Risk Management and the Energy Futures

TL;DR: In this article, Schwartz and Smith's model is applied to calculate risk measures of Brent oil futures contracts and light sweet crude oil (WTI) futures contracts, and the model includes a long-term factor and a shortterm factor.
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A new empirical investigation of the platinum spot returns

TL;DR: In this article, a generalized autoregressive conditional heteroscedasticity (GARCH) model was used to predict daily platinum spot returns, and the NRIG distribution performed better than the most widely used heavy-tailed distribution, the Student's t distribution.

A New Class of Heavy-Tailed Distribution in GARCH Models for the Silver Returns

Abstract: After serving as a medium of exchange for the human society, silver is still widely used in our daily life. From the jewellery, electronic and electrical industries as well as medicine, optics, the power industry, automotive industry and many other industries, silver is still playing a very active role. In addition to the industrial usage, silver also serves as an investment tool for many financial institutions. Thus, it is crucial to develop effective quantitative risk management tool for those financial institutions. In this paper, we investigate the conditional heavy tails of daily silver spot returns under the GARCH framework. Our results indicate that that it is important to introduce heavy-tailed distributions to the GARCH framework and the normal reciprocal inverse Gaussian (NRIG) distribution, a newly-developed distribution, has the best empirical performance in capture the daily silver spot returns dynamics.
References
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Journal ArticleDOI

The stochastic behavior of commodity prices: Implications for valuation and hedging

TL;DR: In this article, the authors compare three models of the stochastic behavior of commodity prices that take into account mean reversion, in terms of their ability to price existing futures contracts, and their implication with respect to the valuation of other financial and real assets.
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Techniques for Verifying the Accuracy of Risk Measurement Models

TL;DR: In this paper, the authors consider the formal statistical procedures that could be used to assess the accuracy of value at risk (VaR) estimates and show that verification of the accuracy becomes substantially more difficult as the cumulative probability estimate being verified becomes smaller.
Journal ArticleDOI

An Overview of Value at Risk

TL;DR: In this article, a broad and accessible overview of models of value at risk (WR), a popular measure o f the market risk of a financial firm's book, the list of positions in various instruments that expose the firm to financial risk, is presented.
Journal ArticleDOI

Short-Term Variations and Long-Term Dynamics in Commodity Prices

TL;DR: The authors developed a two-factor model of commodity prices that allows meanreversion in short-term prices and uncertainty in the equilibrium level to which prices revert, which can be estimated from spot and futures prices.
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Proof that Properly Anticipated Prices Fluctuate Randomly

TL;DR: In this article, the authors deduce a fairly sweeping theorem in which next-period price differences are shown to be uncorrelated with (if not completely independent of) previous period's price differences.
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