Economics and Statistics Research Journal (ESRJ)

INVESTIGATING THE NIGERIAN NAIRA PER US-DOLLAR EXCHANGE RATE (NGNUSD) USING ARMA-GARCH MODELS

Authors

  • Dr. M. O. Adenomon Department of Statistics, Nasarawa State University
  • Dr. Ahmed Ibrahim Department of Statistics, Nasarawa State University
  • Muhammed Inuwa Yahaya Department of Statistics, Nasarawa State University
  • Dr. Bilkisu Maijama'a Department of Statistics, Nasarawa State University

Abstract

Exchange rate volatility plays a crucial role in economic stability, trade balance, and investment decisions. The Nigerian Naira to US Dollar (NGN/USD) exchange rate has experienced significant fluctuations due to macroeconomic factors, global oil price movements, and monetary policies. This study investigates the statistical properties, dynamics, and volatility clustering of the NGN/USD exchange rate using Autoregressive Moving Average (ARMA) and Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. This study uses historical daily exchange rate data from July 1995 to June 2024, sourced from the Central Bank of Nigeria (CBN) and other financial institutions. The methodology involves time-series econometric techniques, including stationarity tests, ARMA modeling for mean dynamics, and GARCH modeling for volatility estimation. Model selection criteria, such as the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) were used to identify the best-fitting model. The results indicate that the NGN/USD exchange rate exhibits volatility clustering, where periods of high volatility are followed by further fluctuations. The ARMA (1,1)-GARCH(1,1) model was found to be the most suitable model for capturing both the mean and variance structure of the exchange rate. The persistence of volatility suggests that external shocks, speculative trading, and macroeconomic conditions significantly impact Naira stability. The study concludes that exchange rate volatility in Nigeria poses a key economic challenge that requires strategic policy interventions. Based on these findings, adopt robust foreign exchange management strategies, financial institutions should integrateadvanced risk assessment models, and future research should explore additional macroeconomic factors affecting exchange rate dynamics

Keywords:

Exchange Rate, Volatility, ARMA-GARCH Modeling,, Naira Stability, Macroeconomic Shocks, Risk Management Strategies

Published

2025-05-06

DOI:

https://doi.org/10.5281/zenodo.15350842

Issue

Section

Articles

How to Cite

Adenomon, M. O., Ibrahim, A., Muhammed, I. Y., & Maijama’a, B. (2025). INVESTIGATING THE NIGERIAN NAIRA PER US-DOLLAR EXCHANGE RATE (NGNUSD) USING ARMA-GARCH MODELS . Economics and Statistics Research Journal (ESRJ), 16(4), 1–18. https://doi.org/10.5281/zenodo.15350842

References

Abimbola, A. B. and Olusegun, A. J. (2017). Exchange Rate Volatility, Stock Market Performance, and Aggregate Output Nexus in Nigeria. Business and Economkics Journal, Vol. 8 (1).

Adekanye, F. (2010). Elements of Banking in Nigeria; F& A Publishers Ltd. Lagos: Central Bank of Nigeria Annual Reports and Statements of Accounts (various).

Adenomon, M. O., & Emenogu, N. G. (2020). Double-Edged Sword of Global Financial Crisis and COVID-19 Pandemic on Crude Oil Stock Returns.

Amare, W. A., Emmanuel, G.; Hayimro, E. (2020). Generalized Autoregressive Conditional Heteroskedastic Model for Examining Silver Price Volatility and its Macroeconomic Determinants in the Ethiopian Market; Research Article | Open Access.

Amassoma D. (2016). The Nexus between Exchange Rate Variation and Economic Growth in Nigeria. Journal of Entrepreneurship, Business and Economics, 5(1), 1-40.

AWIDAN, R. H. M. ((2019). Time Series Modeling of Oil Prices Fluctuations: Applications to Libya and Nigeria: https://doi.org/10.7190/shu-thesis-00292.

Ayele, A. W., Gabreyohannes, E., & Edmealem, H. (2020). Generalized autoregressive conditional heteroskedastic model to examine silver price volatility and its macroeconomic determinant in Ethiopia market. Journal of Probability and Statistics, 2020(1), 5095181.

Bala, D. A.; Asemota, J. O., 2013. Exchange rate volatility in Nigeria: Application of GARCH models with exogenous break. Central Bank of Nigeria Journal of Applied Statistics, 4(1). 89-116.

Bashir, U. F. (2018). The Relevance of GARCH-family Models in Forecasting Nigerian Oil Price Volatility; Article, Vol. 42, no. 2, 2018.

Box GEP & Jenkin Gm 1970, Time series Analysis, forecasting and Control, Holden-Day, sanfrancisco.

Christopher, N. Ekong., and Kenneth, U. O. (2018). The Optimal Forecasting Model of Stock Returns and the Nature of Stock Returns Volatility in Nigeria Using Daily All-Share stock data. MPRA_paper_88309.pdf.

Dogo, M. Y., & Aras, O. N. (2021). Effect of Volatility in the Naira-Dollar Exchange Rate on the volume of Imports to, and Exports from Nigeria. International Journal of Economics and Financial Issues, 11(5), 68–69, 2018.

Dum, D. Z., Dimkpa, M. Y., Ele, C. B., Chinedu, R. I., & Emugha, G. L. (2021). Comparative Modeling of Price Volatility in Nigerian Crude Oil Markets Using Symmetric and Asymmetric GARCH Models. Asian Research Journal of Mathematics, 17(3), 35-54.

Emenogu, N. G., Adenomon, M. O., & Nweze, N. O. (2020). On the volatility of daily stock returns of Total Nigeria Plc: evidence from GARCH models, value-at-risk and backlisting Financial Innovation, 6(1), 18.

Engle, R. & Rangel, J 2008, the spine GARC low-Frequency volatility and global Macroeconomic causes.

Engle, R. F. and Patton, A. J. (2001). What is a good volatility model? Quantitative Finance, 1(2); 237–245.

Gujarati, D. N. (2004). Basic Econometrics. New Delhil. Tata McGraw Hill Publishing Company Limited.

IMF (2002): Purchasing Power Parity: Weights Matter”http://www.imf.org/external/pubs/ft/fandd/basics/ppp.htm

Imf. (2016). World Economic Outlook, October 2015. International Monetary Fund.

Jhingan, M. L. (2004). Monetary Economics, Delhi: Vrinda publications (p) Ltd.

Kennedy, K. Nourizad, F. (2016). Exchange Rate Volatility and its Efeect on Stock Market Volatility. International Journal of Humanities, Capital and Urban Management. Vol. 1 (1).

Kuhe, D. A. (2019). The Dynamic Relationship Between Crude Oil Prices and Stock Market Price Volatility in Nigeria: A Co-integrated VAR-GARCH Model. Current Journal of Applied Science and Technology, Page 1-12, DOI: 10.9734/cjast/2019/v38i330363 Published: 2 November 2019.

Lawal, M., & Ijirshar, V. U. (2013). Empirical Analysis of Exchange Rate Volatility and Nigerian Stock Market Performance. International Journal of Social Sciences and Research, 58, 63–74. ISSN: 2319-7064.

Mati, S. (2014). Exchange rate volatility and the Nigerian oil and non- oil trade: An ARDL Approach. Nicosia: Near East University, Department of Economics.

Mlambo, C., Maredza A and K. Sibanda (2013). “Effects of Exchange Rate Volatility on the Stock Market: A Case Study of South Africa”, Mediterranean Journal of Social Sciences, Vol. 4, No. 14.

Mohammed, G. T., Aduda, J. A., & Kube, A. O. (2020). Modeling exchange rate volatility dynamics of the great britain pound to Ethiopian birr using the semi-parametric non-linear fuzzy-EGARCH-ANN model. Journal of Mathematical Finance, 10(04), 598.

Mordi, N. O. (2006). Challenges of exchange rate volatility in economic management in Nigeria. Central Bank of Nigeria Bullion, 30 (3), 17-25.

Muhammad, N., and Rasheed, A. (2011). Stock Prices and Exchange Rates: Are they? Evidence from South Asian Countries.

Ngerebo-A, A. and Ibe, R. C. (2014). Exchange Rate and Macroeconomic Performance in Nigeria: A Causal Post Structural Adjustment Programme Investigation. Global Journal of Management and Business Research, 13(7).

Nwankwo, S. C., 2014. Autoregressive integrated moving average (ARIMA) model for the exchange rate (Naira to the Dollar). Academic Journal of Interdisciplinary Studies, 3(4), 429.

Odukoya, O. U.; Adio, M. A., 2022. Time Series Analysis of Exchange Rate between Nigerian Naira and the Us Dollar (1981-2016). International Journal of Innovative Science and Research Technology, 7(3), 1043–1063.

Odusola , A.(2006): “Economics of Exchange Rate management”, Central Bank of Nigeria Journal, volume 30, no. 3, p. 38.

Ogbole, F. O., & Aladejare, S. A. (2015). The Nigerian Stock Exchange Rate: It‟s Impact on the Nigerian Economy (1981-2012): An Econometric Approach. Reiko, R. International Journal of Social and Economic Research. Vol. 8, issue 3C.

Olugbenga, F., & Ogunsola, S. K. (2017). Impact of Oil Prices Volatility on Investment Decision-making in Marginal Fields Development in Nigeria. DOI:10.9734/BJEMT/2017/28175.

Oyenuga I. F., Oyekunle J. O., Agbona A. A., 2019. Modeling Exchange Rate of the Nigeria Naira to Some other Major Currencie. International Journal of Statistics and Applications, 9(3): 67-73.

Perron, P. (1989). “The Great crash, the oil price shock and the unit root hypothesis”, Econometrica, 57: 1361–1401.

Richard, B. A. I. L. L. I. E., and P. McMahon (1989). The Foreign Exchange Market, Theory and Econometric Evidence.

Ruppert D 2011, statistics and Data Analysis for Financial Engineering.

Sekati, B. N. Y., Tsoku, J. T., and Metsileng, L. D. (2020). Modeling the oil price volatility and macroeconomic variables in South Africa using symmetric and asymmetric GARCH models. Cogent Economics & Finance, 8(1), 1792153.

Sekmen, F. (2011). Exchange rate volatility and stock returns for the U.S. [Online] Available at: http://www.academicjournals.org.

Sohmen, E. (1969). Flexible exchange rates (p. xii). (Chicag: University of Chicago

Sujoy, B., & Arshad, A.(2018). The Volatility and TheOutput in Terms of Return Vectors of Inputs for a Neural Network. International Journal of Business Forecasting and Marketing Intelligence 4 (4), 446-457.

Wafure, B.O., Gobna, O. & Abu, N. (2010). Determinants of exchange rate in Nigeria, 1970–2007: An Empirical Analysis. The Indian Journal of Economics and Business 9(1).

Yu, L. and Fixing, L. (2020). Comparison of Uni-regime GARCH-type models, GARCH-type Models with Markov and Hidden Markov (HM) Switching regimes Daqing crude oil markets: volume 87, March, 2020; 104693.

Yue-Jun, Z. Ting Y., Ling-Yun, H., and Ronald, R. (2019). Volatility Forecasting of Crude Oil Market: Can Regime-Switching GARCH Model Beat Single-Regime GARCH Models; International Review of Economics & Finance 59, 302-317, 2019.

Zied, F., and Fredj, J. (2019). Oil Prices Volatility and Uncertainty over the Period January 1986-December 2018: Energy Journal 40 (Special Issue), 2019.