Forecasting the price and value at risk of Iranian pistachios in the world market using stochastic differential equations

Document Type : Research Paper

Authors

1 Assistant professor, Department of Industrial Engineering, Meybod University, Meybod, Iran

2 MsC student, Department of Industrial Engineering, Meybod University, Meybod, Iran

Abstract

Due to the increasing competition of US America with Iran in the pistachio’s global market, US share in global exports is increased and replaces the Iran's share. On the other hand, in the oligopoly market structure, changes in global product prices strongly depends on a competitor that holds a major share of the global market. To predict the risk and price of the product using stochastic differential equations, it is necessary to estimate the statistical parameters of the price. According to the market trend and the change in the global pistachio market, there is no sufficient historical data in the new market approach. In this paper, the statistical parameters are estimated from a similar product’s price series in the similar world market to predict the price of the Iran’s pistachio in the global market using the geometric Brownian motion (GBM). Our investigations in the 1992-2018 period, revealed that the statistical parameters of almond export price can perform a framework for predicting the export price of pistachio and its corresponding risk in a quasi-Monopoly market. Based on our experimental results, the performance of the GBM has been improved to Theil’s index of 0.05 using the almond price series in the new market approach. Furthermore, according to the Coppock index and value at risk measures, the price fluctuation of Iran’s pistachio will be decreased in 2019-2023, and the minimum price of pistachios in 2023 will be 4461 dollars per ton at 99.9% confidence level.

Keywords

Main Subjects


  1. Adeli, A. Ghafari, H. & Shaygani, B. (2020). Studying the simultaneous effects of economic sanctions shocks on Iran's economic sectors. Applied economics studies, 9(34): 163-189. (In Farsi)
  2. Aminizadeh, M., Rafiee, H., Riahi, A. & Mehrparvar Hosseini, H. (2014). Pattern of Competitiveness of Pistachios World Premier Exporters in Iran's Importers Market. Agricultural Economics, 8(2): 41-68. (In Farsi)
  3. Amiri, F. (2009). Investigation effective factor on Iran’s pistachio exportation. International journal of marketing studies, 1(2): 35- 40.
  4. Angstmann, C.N. Henry, B.I. & Ortega-Piwonka, I. (2017). Generalized master equations and fractional Fokker–Planck equations from continuous time random walks with arbitrary initial conditions, Computers & Mathematics with Applications, 73(6): 1315-1324.
  5. Angstmann, C. Henry, B. & McGann, A. (2019). Time-fractional geometric Brownian motion from continuous time random walks. Physica A, 526, 121002.
  6. Askan, E. (2019). Economic analysis and marketing margin of pistachios in Turkey. Bulletin of the National Research Centre, https://doi.org/10.1186/s42269-019-0216-5.
  7. Basnarkov, L., Stojkoski, V., Utkovski, Z. & Kocarev, L. (2019). Option Pricing with Heavy-Tailed Distributions of Logarithmic Returns. International Journal of Theoretical and Applied Finance, 22(7): 1950041.
  8. Biabani, J., Abolhasani Hastiyani, A., Shayegani, B. & Haghgou, M. (2013). Stability of export and economic growth in Iran: estimation and predication from the perspective of GMDH neural network.  journal of economic growth and development research, 3(9): 99-112. (In Farsi)
  9. Bastian-Pinto, C.L., Teixeira Brandão, L.E., Ozorio, L.M., & Tavares do Poço A.F. (2021) A parameter based approach to single factor stochastic process selection for real options applications, The European Journal of Finance, 27(15), 1533-1552, DOI: 10.1080/1351847X.2021.1895859.
  10. Coppock, J.T. (1962). International Economic Instability. MC-Grow Hill:New York.
  11. Farajzadeh, Z. & Esmaeli, A. (2010). Analyzing price transmission in pistachio world market, Agricultural Economics and Development, 18(3): 69-98. (In Farsi)
  12. Farida Agustini, W. Restu Affianti, I. & Putri, E.R.M. (2018). Stock price prediction using geometric Brownian motion, Journal of Physics, Conf. Ser. 974 (012047)
  13. Food and Agriculture Organization (FAO) Retrieved july 1 2021 from https://www.fao.org /faostat/en/#data/ TCL.
  14. Ghorbanian, E. & Esmailie, A. (2009). Competition of Iran and America in pistachios global oligopoly market, Agricultural economics research, 2:225-242. (In Farsi)
  15. Heydari, A.  Keynia, F. Shahsavari Pour, N. & Sedaghat, R. (2016). An evolutionary hybrid method to predict pistachio price. International Conference on Reserarch In Science And Technology, Berlin. Germany.
  16. Heydari, A., Keynia, F., Shahsavari-Pour, N. & Sedaghat, R. (2017) An evolutionary hybrid method to predict pistachio price. Complex & Intelligent Systems. 3, 121–132.
  17. Hull, J.C. (2009). Options, Futures, and other Derivatives, Seventh Edition, Pearson Prentice, Hall, Inc.
  18. Liaghati, H., Nazari, M. & Avazdahandeh, S. (2017). Structural evolution of the pistachio global market with emphasis on the role of Iran, Journal of Agroecology, 7:186-199. (In Farsi)
  19. Mehrabi Boshrabadi, H. (2002). Review Of Factors Influencing Iran"S Share In The World Pistachio Market, Journal of Agricultural Economics and Development, 10(3): 85-102. (In Farsi)
  20. Mehrabi Boshrabadi, H., & Javdan, E. (2012). Forecasting World Market Structure of Iran's Pistachio Exports, Journal of Life Sciences, 6:701-707.
  21. Mirakbari, Z., Mojaverian, M., Rafiee, H. & Amirnezhad, H. (2020). Clustering Target Countries of Iranian Pistachio Exports Based on Hybrid Meta-Heuristic Algorithms, Iranian Journal of Agricultural Economics and Development Research, 51(3): 413-427. (In Farsi)
  22. Mohammadi, H. & Bahrami Nasab, M. (2014) Assessment of Effective Factors on Supply and Demand of Iran’s Pistachios Export (Vector Auto Regression Approach). Agricultural Economics, 7(4): 23-42. (In Farsi)
  23. Najafi, B. & Abdollahi Ezzatabadi, M. (2000). Factors affecting pistachio price fluctuations and problems arising from it. Agricultural Economics and Development, 17: 25–42. (In Farsi)
  24. Nikravesh, S., Yazdani, S., Yavari, G.R. & Kazemnejad, M. (2017). The Growth of Agricultural Sector and Marginal Propensity to Trade. Agricultural Economics, 11(4): 127-141. (In Farsi)
  25. Pishbahar, E.,Rahimi, J. Dashti, Gh. & Ghahremanzad, M. (2015). The effects of agricultural trade instability and volatility on growth of agricultural sector in Iran, Iranian Journal of Agricultural Economics and Development Research, 46(2): 299-310. (In Farsi)
  26. Raei, R. & Falahtalab, H. (2013). Application of Monte Carlo simulation and random walk process to value at risk forecasting. Financial engineering and securities management, 4(16):75-92. (In Farsi)
  27. Salami, H. & Mafi, H. (2018). Predicting Export prices of the Iranian Pistachio Based on Commercial Cycles: Application of Structural Time Series Model. Iranian Journal of Agricultural Economics and Development Research, 49(4): 559-571. (In Farsi)
  28. Salami, H. & Sadafi Abkenar, S. (2019). A non-parametric Approach to Specifying Changes of Preferences German Consumers for the Iranian and U.S. Pistachios. Iranian Journal of Agricultural Economics and Development Research, 50(1): 79-95. (In Farsi)
  29. Salehnia, N., Fallahi, M., Seifi, A. & Mahdavi Adeli, M. (2015). The estimation of natural gas daily spot prices with geometric Brownian motion model. Journal of Economic Modeling Research, 5(20): 7-54. (In Farsi)
  30. Sedaghat, R. (2011). FORECASTING OF THE WORLD PISTACHIO MARKET (SUPPLY, DEMAND AND PRICE). Acta Hortic (International Society for Horticultural Science), 912 (124): 819-826. (In Farsi)
  31. Stojkoski, V. Utkovski, Z. Basnarkov, L. & Kocarev, L. (2019). Cooperation dynamics in networked geometric Brownian motion. Phys. Rev. E, 99, 062312.
  32. Tahamipour, M.,Varahrami, V. & Ghavidel, V. (2019). Measuring Pistachio price risk and determining effective factors on it in the main producer provinces. Journal of Agricultural Economics researches, 11: 237-262. (In Farsi)
  33. Unesi, M. & Godarzi, M. (2016). Pistachio export price prediction using neural-fuzzy system (ANFIS), neural network (ANN) and Autoregressive ARIMA, 3rd international conference on research in science and technology. Berlin (2016).
  34. Zare, E. (2008). The structure of world and Iran's export market of almond. Pajouhesh-va-sazandegi, 21(1): 2-10. (In Farsi)