Daily net cash flow analysis and forecasting : Transition from Microscopic to Macroscopic Stochastic Equations

Subject Areas : Econometrics and Financial Applications of other Theories (Stochastic Processes, (Stochastic) Partial Differential Equations, Dynamical Systems)

Elham Danesh ¹ , Ali Saeedi ² , Ehsan Rahmaninia ³ , Amir Gholami ⁴

1 - Department of Accounting, North Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Financial Management, North Tehran Branch, Islamic Azad University, Tehran, Iran
3 - Department of Accounting, North Tehran Branch, Islamic Azad University, Tehran, Iran
4 - Department of Economics, North Tehran Branch, Islamic Azad University, Tehran, Iran.

Received: 2021-10-17 Accepted : 2022-03-16 Published : 2023-09-01

Keywords:

References:

[1] Basel Committee on Banking supervision, Sound of Practices for Managing Liquidity in Banking Organizations, BIS, February ,2000.

 

[2] Corsaro, S., Kyriakou, I., Marazzina, D., and Marino, Z.A., General Framework for Pricing Asian Options under Stochastic Volatility on Parallel Architectures, European Journal of Operational Research Volume, 2019, 272(3), P. 082-1095. Doi.org/10.2139/ssrn.3331550

 

[3] Cox, C., Ingersoll, J.E, Ross, S, A., A Theory of the Term Structure of Interest Rates, Econometrica, 1985, 53(2), P.385-407. Doi:10.2307/1911242

 

[4] Davallo. M., Varzideh, A.R., Forecasting total index of Tehran Stock Exchange using Geometric Brownian motion model, 2020, 13(46), P.193-208. (In Persian)

 

[5] Fathi Vajarga, K., Eslami Mofid Abadi, H., Abbasi, E., Oil Price Estimating under Dynamic Economic Models Using Markov Chain Monte Carlo Simulation   Approach, Advances in Mathematical Finance and Applications, 2020, 6(3), P.631-651. Doi: 10.22034/AMFA.2020.1902265.1446

 

[6] Ghanbari, M., Goldani, M., Support Vector Regression Parameters Optimization using Golden Sine Algorithm and its Application in Stock Market. Advances in Mathematical Finance and Applications, 2022, 7(2), P. 327-343. Doi: 10.22034/AMFA.2021.1936352.1623

 

[7] Izadikhah, M., A Fuzzy Goal Programming Based Procedure for Machine Tool Selection, 2015, 28(1), P. 361-372, Doi: 10.3233/IFS-141311

[8] Handan, Z., Ibrahim, S.I., and Mustafa, A.M.S., Modelling Alaysian Gold Prices Using Geometric Brownian Motion Model, Advances in Mathematics: Scientific Journal, 2020, 9(20), P.7463–7469. Doi: 10.37418/amsj.9.9.92

[9] Klumpes, P., Tippett, M., A Modified ‘Square Root’ Process for Determining the Value of the Option to (Dis) invest, Journal of Business Finance & Accounting, 2004, 31(9-10), P.1449-1481.  Doi:10.1111/j.0306-686X.2004. 00580.x  

 

[10] Kotelenez, P., Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations: Springer New York, 2007.

 

[11] Lawrence, K. D., Klimberg, R. K., Lawrence, S. M., Fundamentals of forecasting using excel, Industrial Press Inc, 2009.

 

[12] Sadeghi, H, Fadaeineghad, M.E., Varzideh, A.R., Application of geometric Brownian motion in predicting gold price and exchange rate, Sientific and Reaserch Journals management system, 2019, 8(30), P.251-270. (In Persian)

 

[13] Saeedi, A., Shabani, M., To Assess Banking Liquidity Risk by Emery’s Lambda. Quarterly Journal of the Stock Exchange Organization. 2010 ,3 (3), 129-149. (In Persian)

 

[14] Salas-Molina, F., Martin, F.J., and Rodr´ıguez-Aguilar, J.A., Empirical analysis of daily cash flow time-series and its implications for forecasting, International Journal of Forecasting, 2018 ,42 (1), P. 73-98. Doi:10.48550/arXiv.1611.04941

 

[15] Talebi, B., Abdi, R., Hajiha,Z., Rezaei, N., The Evaluation of the Capability of the Regression and Neural Network Models in Predicting Future Cash Flows. Advances in Mathematical Finance and Applications, 2022, 7(2), P. 327-343. Doi: 10.22034/AMFA.2020.1876840.1277

 

[16] Tong, C., Chen, S., Parameter Estimation and Bias Correletion of Diffiuasion Prosses, Journal of Economecrics, 2009, 149(1), P.65-81. Doi: 10.1016/J.JECONOM.2008.11.001

 

 [17] Omar, A., Jaffar, M. M., Comparative analysis of Geometric Brownian motion model in forecasting FBMHS and FBMKLCI index in Bursa Malaysia. In Business, Engineering and Industrial Applications (ISBEIA), 2011, P. 157-161. Doi:10.1109/ISBEIA.2011.6088794

 

[18] Zanjirdar, M., Kasbi, P., Madahi, Z., Investigating the effect of adjusted DuPont ratio and its components
on investor & quot; s decisions in short and long term, Management Science Letters, 2014, 4(3), P.591-596.
Doi: 10.5267/j.msl.2014.1.003

[19] Primbs J. A., Barmish. R.B., On Robustness of Simultaneous Long-Short Stock Trading Control with Time-Varying Price Dynamics, IFAC-Papers On Line, 2018, 50(1), P.12267-12272.

Doi: 10.1016/j.ifacol.2017.08.2045

 

[20] Van der Burg, J.G., Stochastic Continuous-Time Cash Flows, A Coupled Linear-Quadratic Model. P.h.D Thesis, Victoria University, Wellington, New Zealand, 2018.

 

[21] Watttorn, W., Sombultawee, K., The Stochastic Volatility Option Pricing Model: Evidence from a Highly Volatile Market, Journal of Asian Finance, Economics and Business, 2021, 8(2), P.0685–0695.

Doi: 10.13106/JAFEB.2021.VOL8.NO2.0685