Forecasting Fund Purchase Amount Using Arima Model

Rui He ( Department of Sydney Smart Technology College, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei Province, 066004, China )

https://doi.org/10.37155/2972-4813-0202-6

Abstract

Predicting fund purchase amounts is a significant challenge for economists and statisticians. Accurate predictions can lead to favourable outcomes for both companies and individuals. This paper proposes an ARIMA model to extract insights from the data and provide a method for forecasting fund purchase amounts over the coming days. We begin by examining the characteristics and structure of the dataset, calculating various statistical indices. Subsequently, we implement data transformation strategies to address outliers and missing values. Using R software, we analyse the data and develop several candidate ARIMA models. The most suitable model is selected based on the Autocorrelation Function (ACF), Partial Autocorrelation Function (PACF), and the Akaike Information Criterion (AIC). Finally, we evaluate the chosen model using Mean Squared Error (MSE) and various residual analysis plots. The residuals from our model indicate strong performance in predicting fund purchase amounts.

Keywords

ARIMA, data analysis , fund purchase amount, prediction.

Full Text

PDF

References

[1] Ross, S. A. (1978) The current status of the capital asset pricing model (CAPM). The Journal of Finance, 33(3): 885-901.
[2] Mishra, A. K., Bansal, R., Maurya, P. K., Kar, S. K.,& Bakshi, P. K. (2023). Predicting the antecedents of consumers' intention toward purchase of mutual funds: A hybrid PLS-SEM-neural network approach. International Journal of Consumer Studies, 47(2), 563-587.
[3] Fama, E. F. (1995). Random walks in stock market prices. Financial analysts journal, 51(1), 75-80.
[4] K. Li, C. Zhai, and J. Xu. (2017) Short-term traffc fow prediction using a methodology based on ARIMA and RBF-ANN. In 2017 Chinese Automation Congress (CAC), 2804–2807.
[5] H. Dong, L. Jia, X. Sun, C. Li, and Y. Qin. (2009) Road Traffc Flow Prediction with a Time-Oriented ARIMA Model. In 2009 Fifth International Joint Conference on INC, IMS and IDC, 1649–1652.
[6] B. Zhou, D. He, and Z. Sun. (2006) Traffic predictability based on ARIMA/GARCH model,” in 2006 2nd Conference on Next Generation Internet Design and Engineering, 206-207.
[7] C. Chen, J. Hu, Q. Meng, and Y. Zhang. (2011) Short-time traffic flow prediction with ARIMA-GARCH model. In 2011 IEEE Intelligent Vehicles Symposium (IV), 607–612.
[8] 25 years of time series forecasting - ScienceDirect. [Online]. Available:
https://www-sciencedirect-com.uproxy.library.dc uoit.ca/science/article/pii/S0169207006000021.
[9] C. W. Ostrom. (1990) Time series analysis: regression techniques. 2nd ed. Newbury Park, Calif, Sage Publications.
[10] Trend Modeling for Traffc Time Series Analysis: An Integrated Study - IEEE Journals & Magazine. [Online]. Available:
https://ieeexplore-ieee-org.uproxy.library.dcuoit.ca/document/7180371. [Accessed: 20-Mar-2019].
[11] Trend analysis of climate time series: A review of methods ScienceDirect. [Online]. Available: https://wwwsciencedirect-com.uproxy.library.dcuoit.ca/science/article/pii/S0012825218303726.
[12] Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction - ScienceDirect.[Online]. Available:
https://www.ciencedirectcom.uproxy.library.dcuoit.ca/science/article/pii/S0306261912002875.
[13] Guha, B., & Bandyopadhyay, G. (2016). Gold price forecasting using ARIMA model. Journal of Advanced Management Science, 4(2):117-121.
[14] T. Fu. (2011) A review on time series data mining. Eng. Appl. ArtifIntell., 24(1): 164–181.
[15] K. Duangnate and J. W. Mjelde. (2017) Comparison of data-rich and small-scale data time series models generating probabilistic
forecasts: An application to U.S. natural gas gross withdrawals. Energy Econ., 65: 411–423.
[16] A. Adib, M. M. K. Kalaee, M. M. Shoushtari, and K. Khalili. (2017) Using of gene expression and K. Khalili. (2017) Using of gene expression flow discharge by considering trend, normality, and stationarity analysis. Arab. J. Geosci., 10(9): 207-208.
[17] Box G and Jenkins G. (1994)Time series analysis, forecasting and control, 3rd ed. San Francisco: Holden-Day.
[18] Brockwell PJ and Davis RA. (1987)Time series: theory and method. Berlin: Springer-Verlag.
[19] Hamilton JD. (1994)Time series analysis. Princeton: Princeton University Press.

Copyright © 2024 Rui He Creative Commons License Publishing time:2024-06-30
This work is licensed under a Creative Commons Attribution 4.0 International License