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Subordinated Affine Structure Models For Commodity Future Prices

M. Kateregga, S. Mataramvura, D. Taylor
Published 2018 · Mathematics

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Abstract To date the existence of jumps in different sectors of the financial market is certain and the commodity market is no exception. While there are various models in literature on how to capture these jumps, we restrict ourselves to using subordinated Brownian motion by an α-stable process, α ∈ (0,1), as the source of randomness in the spot price model to determine commodity future prices, a concept which is not new either. However, the key feature in our pricing approach is the new simple technique derived from our novel theory for subordinated affine structure models. Different from existing filtering methods for models with latent variables, we show that the commodity future price under a one factor model with a subordinated random source driver, can be expressed in terms of the subordinator which can then be reduced to the latent regression models commonly used in population dynamics with their parameters easily estimated using the expectation maximisation method. In our case, the underlying joint probability distribution is a combination of the Gaussian and stable densities.
This paper references
L´evy processes and stochastic calculus. Cambridge studies in advanced mathematics
D Applebaum (2004)
Affine processes theory and applications in finance
M Keller-Ressel (2008)
A Treatise On Money Vol I
Keynes John Maynard (1950)
10.1002/FUT.21759
Do Jumps Matter for Volatility Forecasting? Evidence from Energy Markets
Marcel Prokopczuk (2015)
On Representation of Stable Laws by Integrals
V. M. Zoloratev (1966)
10.1016/b978-0-444-50896-6.x5000-6
Handbook of heavy tailed distributions in finance
S. Rachev (2003)
10.1038/127919a0
A Treatise, on Money
Jules Menken (1931)
Probability theory and mathematical statistics : proceedings of the seventh Vilnius Conference (1998), Vilnius, Lithuania, 12-18 August, 1998
Bronius Grigelionis (1999)
To obtain the solution ψ2 to the Riccati, Equation
Kyriakou (2016)
Stochastic Models of Energy Commodity Prices and Their Applications : Mean-reversion with Jumps and Spikes
S. Deng (1998)
Value and Capital
P. Chattopadhyay (1982)
10.1093/RFS/HHM056
Jumps in Financial Markets: A New Nonparametric Test and Jump Dynamics
S. Lee (2008)
10.1080/23322039.2017.1318813
Parameter estimation for stable distributions with application to commodity futures log-returns
M. Kateregga (2017)
10.1201/9780203738818
Stable non-Gaussian random processes : stochastic models with infinite variance
G. Samorodnitsky (1995)
10.2307/3610639
Harmonic analysis and the theory of probability
S. Bochner (1955)
10.2139/SSRN.686372
Jumps in Financial Markets: A New Nonparametric Test and Jump Clustering
S. Lee (2005)
10.1017/cbo9780511755323
Lévy Processes and Stochastic Calculus
D. Applebaum (2004)
Moment-generating functions and
J. F. Miller (1951)
Handbook of heavy tailed distributions
S. Rachev (2003)
10.1111/eufm.12071
Affine�?Structure Models and the Pricing of Energy Commodity Derivatives
I. Kyriakou (2015)
Affine processes theory and
M. Keller-Ressel (2008)
10.4064/-6-1-359-376
Statistical estimates of the parameters of stable laws
V. Zolotarev (1980)
10.1016/j.cam.2015.12.028
A new technique to estimate the risk-neutral processes in jump-diffusion commodity futures models
Lourdes Gómez-Valle (2017)
The heston model and its
F. Rouah (2015)
Stable distributions in statistical inference
W. H. Dumouchel (1971)
10.1086/260062
The Pricing of Options and Corporate Liabilities
F. Black (1973)
10.4324/9781315145976-4
Value and Capital
R. Harrod (1939)
10.1109/FPL.2014.6927411
Particle filtering-based Maximum Likelihood Estimation for financial parameter estimation
Jinzhe Yang (2014)
Price Discontinuities in Energy Spot and Futures Prices
Svetlana Maslyuka (2013)
10.1007/978-3-540-49959-6
Implementing Models in Quantitative Finance: Methods and Cases
Gianluca Fusai (2008)
Handbook of beta
A. Gupta (2004)
10.1002/9780470101025.ch4
Tables and Graphs
G. Myatt (2006)
10.1112/blms/28.5.554
STABLE NON‐GAUSSIAN RANDOM PROCESSES: STOCHASTIC MODELS WITH INFINITE VARIANCE
Werner Linde (1996)
10.1007/S00440-010-0309-4
Affine processes are regular
Martin Keller-Ressel (2009)
10.1093/ACPROF:OSO/9780199672547.001.0001
Ecological statistics : contemporary theory and application
G. Fox (2015)
10.1093/IMAMAN/DPQ008
Linear and non-linear filtering in mathematical finance: a review
Paresh Date (2011)
10.1112/blms/19.5.504
ONE-DIMENSIONAL STABLE DISTRIBUTIONS (Translations of Mathematical Monographs 65)
P. Hall (1987)
Maximum Likelihood from Incomplete Data via the EM Algorithm
A. D. E. Altri (1977)
10.1002/9781119020523
The Heston Model and Its Extensions in VBA: Rouah/Heston
Fabrice Douglas Rouah (2015)
10.1080/01621459.1968.11009311
Some Properties of Symmetric Stable Distributions
E. Fama (1968)
Linear and nonlinear filtering in mathematical finance : a review
P. Ate (2010)
10.1007/978-3-662-46221-8_16
Probability Theory and Mathematical Statistics
I. Bronshteĭn (1987)
10.1090/mmono/065
One-dimensional stable distributions
V. Zolotarev (1986)
10.1007/S10955-012-0537-3
Geometric Brownian Motion with Tempered Stable Waiting Times
Janusz Gajda (2012)
10.1002/FUT.21597
A Jump Diffusion Model for Agricultural Commodities with Bayesian Analysis
Adam Schmitz (2014)
10.1214/AOAP/1060202833
Affine Processes and Application in Finance
D. Duffie (2002)
10.6028/jres.077b.017
Tables and graphs of the stable probability density functions
Donald R. Holt (1973)
Moment-Generating Functions and Laplace Transforms
J. Miller (1951)
A jump diffu
A. Schmitz (2014)
10.1287/MNSC.46.7.893.12034
Short-Term Variations and Long-Term Dynamics in Commodity Prices
Eduardo S. Schwartz (2000)
10.1051/MMNP/20138201
INVERSE STABLE SUBORDINATORS.
M. Meerschaert (2013)
10.1177/1471082X0801000202
Latent regression analysis
T. Tarpey (2010)
10.1080/14697680701253021
A multi-factor jump-diffusion model for commodities
J. Crosby (2008)
10.1111/j.1540-6261.1997.tb02721.x
The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging
Eduardo S. Schwartz (1997)
10.1201/9781482276596
Handbook of beta distribution and its applications
A. Gupta (2004)
10.1086/261535
PERMANENT AND TEMPORARY COMPONENTS OF STOCK PRICES
Eugene F. Fama (1988)
10.1080/01621459.1973.10482458
Stable Distributions in Statistical Inference: 1. Symmetric Stable Distributions Compared to other Symmetric Long-Tailed Distributions
W. H. Dumouchel (1973)
10.1093/JJFINEC/NBH001
Power and bipower variation with stochastic volatility and jumps
O. Barndorff-Nielsen (2003)



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