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Authors
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2012/3
Mathematical modeling of the dynamics of oil and gas markets prices in the context of investment analysis
Economics and management in fuel and energy complex industries

Authors: Sergey U. ZHOLKOV was born in 1952. He graduated from the M.V. Lomonosov Moscow State University specializing in “Higher geometry and topology” in 1974. He is Candidate of Physical and Mathematical Sciences, Associate Professor, Senior Researcher, Professor of the Department of Applied Mathematics and Computer Modeling at Gubkin Russian State University of Oil and Gas. He is Member of the Moscow Mathematical Society, author of over 50 publications in the Russian and English languages. He was awarded a diploma and a commendation of the Ministry of Education of the Russian Federation. E-mail: sergei_jolkov@mail.ru
Arseny A. KORSHUNOV graduated from Gubkin Russian State University of Oil and Gas in 2010. He is Ph.D. student at the Department of Applied Mathematics and Computer Modeling. He has five scientific publications. E-mail: aakorshunov@tnk-bp.com

Abstract: The problem of constructing an adequate model of the dynamics of prices of oil and gas markets in the context of investment analysis is solved. Stochastic costs of an investment project due to contingences or uncertainty are studied using the stochastic theory of portfolio management – a method proposed in a series of publications of American economists in 1973–79 and 1998–2000, now considered «classic». To define «adequacy», both quantitative and qualitative, features of adequacy and acceptable range of values were found. An adequate adaptive model was constructed. A steady deviation from the real model of price changes of 6,26–10,77% for prices and 1,535–3% for the logarithmic prices respectively is achieved.

Index UDK: 519.86

Keywords: dynamics of prices of oil and gas markets, adequate mathematical model, investment analysis, stochastic financial analysis, adequate adaptive model

Bibliography:
1. Zubareva V.D., Sarkisov A.S., Andreev A.F. Investicionnye neftegazovye proekty: jeffektivnost' i riski. – М.: Nedra, 2010.
2. Limitovskij M.A. Investicionnye proekty i real'nye opciony na razvivajuwihsja rynkah. – М.: Delo, 2004.
3. Smoljak S.A. Ocenka jeffektivnosti investicionnyh proektov v uslovijah riska i neopredelennosti. – М.: Nauka, 2002.
4. Schwartz E., Smith J.E. Short-Term Variations and Long-Term Dynamics in Commodity Prices//Management Science, 2000. – Vol. 46. – № 7.
5. Pindyck R.S. The Long-Run Evolution of Energy Prices//Energy Journal, 1999. – Vol. 20. – №2.
6. Paddock J.L., Siegel D.R., Smith J.L. Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases//Quarterly Journal of Economies, August 1988.
7. Dias M.A.G., Rocha K.M.C. Petroleum Concessions with Extendible Options Using Mean Reversion with Jumps to Model Oil Prices. Working Paper, first presented at the present at «Workshop on Real Options», Stavanger, Norway, May 1998. Revised version presented in the 3rd Annual International Conference on Real Options. Netherlands, June 1999.
8. Dobeshi I. Desjat' lekcij po vejvletam. Izhevsk.: NIC «Reguljarnaja i haoticheskaja dinamika», 2001. – 464 p.
9. Fedorov B.G. Novyj anglo-russkij bankovskij i jekonomicheskij slovar'. SPb.: Limbus Press, 2000.
10. Shirjaev A.N. Osnovy stohasticheskoj finansovoj matematiki. – М.: Fazis, 1998.
11. Cox J.C., Ross R.A., Rubinstein M. Option Pricing: a Simplified Approach//Journal of Financial Economics. – Vol. 7. – № 3. – 1979.
12. Black F., Scholes M. The pricing of options and corporate liabilities//Journal of Political Economy. – V. 81. – № 3. – 1973.
13. Merton R.S. Theory of rational option pricing//Bell Journal of Economics and Management Science. – № 4 (Spring). – 1973.
14. Zholkov S.Ju. Ob investicionnom analize neftegazovyh proektov, svjazannom s real'nymi opcionami//Tr. V mezhd. konf. «Upr. razv. krupnomasshtabnyh sistem (MLSD’2011)». – T. I.: IPU RAN. – M., 2011. – Р. 117–119.
15. Zholkov S.Ju., Korshunov A.A. Indikatory stabil'nosti rynka i prognozirovanie dohodov v investicionnyh neftegazovyh proektah//Tr. V mezhd. konf. «Upr. razv. krupnomasshtabnyh sistem (MLSD’2011)». – T. I.: IPU RAN. – M., 2011. – Р. 119–122.
16. Zholkov S.Ju. Metody investicionnogo analiza i upravlenija neftegazovymi proektami, svjazannye s opcionami//Tr. Mezhd. konf. Teorija aktivnyh sistem (TAS–2011)». – T. 2.: IPU RAN. – M., 2011. – Р. 133–138.