Analysis of Stock,, Gold, and Foreign Exchange markets in Iran: An experimental approach to quantum
Quarterly Journal of Securities Exchange

Quarterly Journal of Securities Exchange

Analysis of Stock,, Gold, and Foreign Exchange markets in Iran: An experimental approach to quantum

Document Type : Original Article

Authors
1 PHD student in Economics department of Economic, Faculty of Economic and Management, Shiraz Branch, Islamic Azad University,iran
2 Department of Economic, Faculty of Economic and Management, Shiraz Branch, Islamic Azad University,Iran
Abstract
Price fluctuation patterns in financial markets and analysis of price fluctuations have always received attention. Thus, the accuracy of the system used for analysis is very important. For more than two decades, econophysics has been using quantum physics and Schrodinger functions to address price fluctuations, confirming the need for the development of a common framework. This study analyzed the daily data from Stock, Gold, and Foreign Exchange markets in Iran from 2013 to 2022. Following the total Stock index and the price of the full Bahar Azadi coin from the Gold market and the unofficial Dollar rate from the Foreign Exchange market, the relevant Schrödinger equation was obtained using the financial quantum approach and the Hamiltonian operator. Then, the wave function was solved. Finally, the graphs for the distribution and average rate of return in each market were plotted and compared. The results showed that the Stock market has the lowest level of risk compared to other markets and the Gold market has the highest risk. Thus, the probability of fluctuations and crises in the Gold market is higher and in the Stock market is lower than in other markets. This implies a higher level of transparency in the Stock market compared to the other two markets.
Keywords

ابراهیمی سروعلیا، محمدحسن؛ بابا جانی، جعفر؛ عبادپور، بهرام. (1396). "مدل تصمیم گیری سهامداران حقیقی بورس اوراق بهادار ". فصلنامه بورس اوراق بهادار، 36، 97-115.
اسلاملوییان، کریم؛ زارع، هاشم. (1385). "بررسی تأثیر متغیرهای کلان و دارایی‌های جایگزین بر قیمت سهام در ایران: یک الگوی خود هم‌بسته با وقفه‌های توزیعی ".  پژوهش‌های اقتصادی ایران، (29)8، 17-46.
بهجت، سحر؛ زارع، هاشم؛ رضایی، لادن. (1398). " یک الگوی نوسانگر غیرکلاسیک در بازار سهام برای چند شرکت منتخب: رهیافتی از مکانیک کوانتوم ". دانش مالی تحلیل اوراق بهادار، 43. 59-71.
توکلیان، حسین. (1390)."نگاهی به بازده انواع دارایی‌ها با تأکید بر بازار سکه، طی دوره 1390-1385"، تازه‌های اقتصاد، 133. 117-123.
جابری، مهسا؛ محمدی، عمران؛ عزیزی، امیر. (1401). "مدل بهینه سازی چندهدفه سبد سهام با رویکرد ترکیبی فازی- استوار (مورد مطالعه: بورس اوراق بهادار تهران)". فصلنامه بورس اوراق بهادار تهران، 59،15، 441-470.
دادگر، یدالله؛ فهیمی فر، فاطمه؛ نظری، روح اله. (1399)." بررسی هم‌زمانی سیکل‌های نرخ ارز با قیمت نفت، قیمت طلا و ارزش سهام در ایران: الگوی مارکف - سوئیچینگ با ساختار مؤلفه‌ای ". فصلنامه اقتصاد و الگوسازی، 3، 151-193.
دهقان، عبدالمجید؛ عیسی نژاد بهمنشیری، خالد. (1397). "بررسی تاثیر کیفیت اطلاعات بر حجم و ارزش سهام معامله شده در بورس اوراق بهادار (دوره مورد بررسی 1388-1393)". فصلنامه بورس اوراق بهادار تهران، 40، 50-90.
زارع، هاشم. (1391)." رهیافتی از اقتصاد فیزیک در بازار سهام ایران "، پایان‌نامه دکتری، رشته اقتصاد، دانشگاه شیراز.
عباسی، محمودرضا. (1391)." اکونوفیزیک: کاربرد فیزیک در اقتصاد "، کنفرانس سراسری فیزیک و کاربردهای آن، دانشگاه بابلسر.
عبداله زاده، مصطفی؛ زارع، هاشم. (1401). محاسبه آنتروپی پول در فضای تولید و رابطه آن با توسعه بازار سرمایه در اقتصـاد ایران (رهیافتی از اقتصاد فیزیک و رگرسیون انتقال ملایم. پژوهش‌های اقتصادی ایران. (92)27. 77-112.
فطرس، محمدحسن؛ هوشیدری، مریم. (1397). "ارتباط‌های پویا بین قیمت نفت، قیمت طلا و نرخ ارز با شاخص سهام بورس اوراق بهادار تهران ". فصلنامه مطالعات اقتصاد انرژی، 58، 89-116.
فکاری سردهایی، بهزاد؛ میرزاپور، اکبر؛ صیامی، علی؛ کجوری، مصطفی. (1393). "بررسی ارتباط قیمت بازار آتی و نقدی سکه طلای ایران ". فصلنامه علمی‌پژوهشی دانش مالی تحلیل اوراق بهادار، (22)7. 93-107.
کریم‌زاده، مصطفی. (1385). "بررسی رابطه بلندمدت شاخص قیمت سهام بورس با متغیر‌های کلان پولی با استفاده از روش هم جمعی در اقتصاد ایران ". فصلنامه پژوهش‌های اقتصادی ایران، (26)8، 41-54.
لطفی هروی، محمدمهدی؛ هوشمند، منیره؛ اسعدی، مرضیه. (1400)." کاربرد الگوریتم‌های یادگیری ماشین کوانتومی در علوم مالی ". سیاست‌نامه علم و فناوری، دانشگاه صنعتی شریف.
Abbasi, M. R. (2012). Econophysics: Application of Physics in Economics. National conference on physics and its applications, Babolsar University. (In Persian).
Abdollahzadeh, A; Zare, H. (2022). The Entropy of Money in the Space
of Output and its Relationship with the Development of the Stock Market in the Iranian Economy: Econophysics and STAR Approach. Iranian Journal of Economic Research, 27 (92), 77 -112. (In Persian).
Allahyaribeik, N; Nikoomaram, H; Allahyaribeik, S; and Rahnamay rood-poshti F. (2022). A Quantum Model for the Stock Market, Advances In Mathematical Finance And Aplications. 7(1), 217-228.
Ballentine, L. E. (1986). Probability in Quantum Mechanics. New Techniques and Ideas in Quantum Measurement Theory, 480(1), 382-392.
Behjat, S; Zare,H; and Rezaee, L.(1398). A Non-Classical Oscillator Pattern in the Stock Market for a few Selected Companies: a Quantum Mechanical Approach. Financial knowledge of securities analysis.43, 59-71. (In Persian).
Chaiboonsri, C; and Wannapan, S. (2021). Applying Quantum Mechanics for Extreme Value Prediction of VAR and ES in the ASEAN Stock Exchange. Economies, 9)13(.
Cootner, P.H. (1964). The Random Character of Stock Market Prices. MIT Press. Cambridge, MA.
Cotfas, L. A. (2012). A Quantum Mechanical model for the Stock Market. Journal of Physica A, 57, 371-392.
Dadgar, y; Fahimi far, F; and Nazari, R. (2020). Investigating the Simultaneity of Exchange Rate Cycles with Oil Price, Gold Price and Stock Value in Iran: Markov-switching Model with Component Structure. Quarterly Journal of Economics and Modeling. 3, 151-193. (In Persian).
Dehgan, A; and Isa Nejad Bahmanshiri, Kh. (2018). Investigating the Impact of the Quality of Information on the Value and Volume of Transaction in Tehran Stock Exchange. Journal of Securities and Exchange, 40, 50-90. (In Persian).
Ebrahimi sarv olya, M. H; Babajani, J; and Ebadpoor, B. (2017). The Real Investors Decision Making Model in the Stock Exchange. Journal of Securities and Exchange, 36, 97-115. (In Persian).
Eder, J; Marcus. F; and Pereira. H.B.B. (2017). Econophysics: Past and present. Physica A, 473, 251–261.
Eslamluian, K; and Zare, H. (1385). Investigating the Impact of Macro variables and Alternative Assets on Stock Prices in Iran: An Auto Regressive Distributed Lag Model. 8 (29), 17-46. (In Persian).
Fakari Sardehai, B; Mirzapoor, A; Siami, A; Kojoori, M. (2014). Investigating the Relationship between the Future and Cash Market Prices of Iranian Gold Coins". Scientific Research Quarterly of Financial Science and Securities Analysis, 7 (22). 93-107. (In Persian).
Fotros, M. H; and hooshidari, M. (2018). Dynamic Relations between Oil price, Gold price and Exchange Rate with Stock Index of Tehran Stock Exchange. Quarterly Journal of Energy Economics Studies, 58, 89-116. (In Persian).
Griffiths, D.J. (1995). Introduction to Quantum Mechanics. Prentice Hall. Upper Saddle River, NJ.
Jaberi, M; Mohammadi, E;and Azizi, A. (2022). Multi-Objective Portfolio Optimization Model with Fuzzy-Robust Hybrid Approach (As a case: Tehran Stock Exchange). Journal of Securities and Exchange, 15(59), 441-470. (In Persian).
Jovanovic. F. (2016). Econophysics and financial economics: an emerging dialogue. Oxford University Press.
Jovanovic, F; and Schinckus, C. (2013). Econophysics: A New Challenge for Financial Economics. The Journal of History Economic Thought. 35 (3).
Jovanovic. F; and Schinckus, C. (2017). Econophysics and Financial Economics: An Emerging Dialogue. Oxford University Press (forthcoming).
Karimzadeh,M.(2006). Investigating the long-Run Relationship between the Stock Price Index and Macro-Monetary Variables using the Auto Regressive Distributed Lag Method in Iran's Economy. Iranian Economic Research Quarterly, (26)8, 41-54. (In Persian).
Lotfi Heravi, M. M; Hooshmand, M; and Asaadi, M.(2021). Application of Quantum Machine Learning Algorithms in Financial Sciences. Science and Technology Policy, Sharif University of Technology. (In Persian).
Mantegna, R. N. (1991). Levy Walks and enhanced diffusion in Milan stock exchange. Physica A, 179 (1), 232– 242.
Mantegna, R. N. (2016). Some Past and Present Challenges of Econophysics. The European Physical Journal Special topics, 225, 3261–3267.
Mantegna. R.N; and Stanley, H.E. (1995). Scaling behavior in the dynamics of an economic index. Nature, 376, 46-49.
Mantegna, R. N; and Stanley. H.E. (2000). An introduction to Econophysics: Correlation and Complexity in Finance. Cambridge University press. Cambridge, 355.
Orrell. D. (2021). A Quantum Walk Model of Financial Options. Wilmott, 112, 62-69.
Orus, R; Mugel, S; and Lizaso, E. (2019). Quantum computing for finance: Overview and prospect. Journal of Physics, 1(11).
Piotrowski, E.W; Sladkowski, J. (2005). Quantum diffusion of prices and profits. Physica A, 345, 185–195.
Schaden, M. (2002). Quantum Finance. Physica A. 316, 511-538.
Schinckus, C. (2010). Is Econophysics a new discipline? The neopositivist argument. Physica A, 389(18), 3814-3821.
Tavakolian, H; (2011). A look at the Returns of all kinds of Assets with an Emphasis on the Coin Market, during the period of 2006-2011. Economic News.113, 117-123. (In Persian).
Wagner, M. (1996). Strongly driven quantum wells: an analytical solution to the time-dependent Schrödinger equation. Physical Review Letters, 76(21), 4010-4013.
Ye, C; Huang, J. P. (2008). Non-classical oscillator model for persistent fluctuations in stock markets. Physica A, 387(5), 1255-1263.
Zare, H. (2012). An Approach of Econophysics in the Iranian Stock Market. PhD Thesis, Department of Economics, Shiraz University. (In Persian).
Zhang, C; and Huang, L. (2010). A Quantum model for the Stock market. Journal of Physica A, 389(114), 5769-5775.