Long Short-Term Memory Method: A Case Study of Pakistan Stock Market Volatility

Authors

  • ZAHID IQBAL Department of Statistics, Allama Iqbal Open University, Islamabad, Pakistan. Author
  • Muhammad Shoaib Department of Statistics, Allama Iqbal Open University, Islamabad, Pakistan. Author

DOI:

https://doi.org/10.58575/vpgec703

Keywords:

Artificial neural network, LSTM, Pakistan stock market, Volatility, Forecasting

Abstract

Forecasting volatility of stock market has an important role to minimize risk in f inancial markets. Investors track stock volatility to avoid market risk. Prediction of stock volatility gets attention of many investors and scholars. This study investigated Pakistan stock market volatility by employing Long Short-Term Memory method. Data contains eight macroeconomic variables named as Inflation, Money-Supply, Exchange-rate, Crude oil, Crop production, Gold prices, GDP growth and Unemployment. The data was obtained from World Development Indicators, the State Bank of Pakistan, the Pakistan Bureau of Statistics, and
 Investing.com. The study covers the period from January 1, 2000 to June 30, 2023. The Long Short-Term Memory (LSTM) Method is type of recurrent neural network (RNN) and the information in matrices form of the order (5772, 14, 9). It can remember information over a long period of time due to its cell state. Three gates, namely forget gate, input gate, and output gate and one cell state which is used for saving of data. Forget gate is identified by ft and is responsible to forget information which is not necessary. Input gate is denoted by it output gate is denoted by ot and cell state is denoted by ct. The pivotal element within the
 LSTM model is the cell state ct, which retains information over extended durations. The LSTM is used for prediction purposes. The results are produced using LSTM method in Spyder in python. The long short-term memory method has mean squared error of 0.01951.

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Published

2025-06-16

How to Cite

Long Short-Term Memory Method: A Case Study of Pakistan Stock Market Volatility. (2025). Journal of Statistics, 29, 128-142. https://doi.org/10.58575/vpgec703

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