The Reciprocal Relationship between Bank Capital and Risk and Testing the Partial Adjustment Hypothesis Using a Simultaneous Equations System: An Applied Study of a Sample of Iraqi Private Commercial Banks Listed on the Iraq Stock Exchange for the Period

Authors

  • Ali Mohammed Ibrahim College of Management and Economics, Department of Business Administration

DOI:

https://doi.org/10.71285/icpt.v3i2.73

Keywords:

bank capital, credit risk, partial adjustment hypothesis, simultaneous equations, 3SLS, Iraqi banks

Abstract

This study is designed to investigate the relationship between capital and risk in private commercial banks of Iraq and how each adjust to their target under the partial adjustment hypothesis. The study relies on data from six banks listed on the Iraq Stock Exchange for the time period 2012 to 2024 (69 annual observations after differencing, obtained from the audited financial statements). Capital is defined as the percentage of equity in total assets, and risk is defined as the percentage of non-performing loans over gross loans. An estimation method that uses three-stage least squares (3SLS) and bank fixed effects is used to estimate a two-equation simultaneous system.

The results showed that there is a unidirectional relationship between the variables between capital and credit risk, where a rise in capital would lead to a decrease in credit risk with a coefficient of −0.841 (p = 0.036), and a rise in risk would have no effect on book capital (p = 0.301). The annual adjustment to banks' capital is 75% of the gap, and their adjustment of risk is 60%, so half of the gap will be closed in about six months for capital and nine months for risk. The effect of the capital adequacy buffer in both equations over the Central Bank of Iraq minimum requirement (12%) is not significant, due to the average of the sample was about 113% as capital adequacy ratio. The negative association of capital with risk persists with the same negative sign in all robustness specifications based on non-performing loans, and is significant at the 10% level in five of the nine specifications. The study suggests that capital requirement needs to be related to the credit quality, and not just size.

Author Biography

Ali Mohammed Ibrahim, College of Management and Economics, Department of Business Administration

College of Management and Economics, Department of Business Administration

References

K. Jacques, and P. Nigro, “Risk-based capital, portfolio risk, and bank capital: A simultaneous equations approach,” Journal of Economics and Business, vol. 49, no. 6, pp. 533–547, 1997, doi: 10.1016/S0148-6195(97)00038-6.

D. L. Kolia, and S. Papadopoulos, “A comparative analysis of the relationship among capital, risk and efficiency in the Eurozone and the U.S. banking institutions,” Risk Governance and Control: Financial Markets & Institutions, vol. 10, no. 2, pp. 8–20, 2020, doi: 10.22495/rgcv10i2p1.

L. Lutfi, E. Kristijadi, and M. Silvy, “Simultaneous adjustment of bank capital and risk: Evidence from the Indonesian commercial banks,” Accounting, vol. 6, no. 5, pp. 637–648, 2020, doi: 10.5267/j.ac.2020.6.021.

C. Zheng, M. M. Chowdhury, A. Das Gupta, and M. N. Islam, “Effects of competition and ownership on the simultaneous relationship between bank risk and capital: Evidence from an emerging economy of Bangladesh,” PLOS ONE, vol. 19, no. 12, Art. no. e0311428, 2024, doi: 10.1371/journal.pone.0311428.

N. N. F. Alrwashdeh, U. Noreen, M. H. Danish, and R. Ahmed, “Bank capital and risk in emerging banking of Jordan: A simultaneous approach,” Cogent Economics & Finance, vol. 12, no. 1, Art. no. 2322889, 2024, doi: 10.1080/23322039.2024.2322889.

R. S. Abu Hamad Al Ali, and M. J. J. Al-Tufaili, “The extent to which Basel standards can be applied to Iraqi private commercial banks for the period (2010–2020) [in Arabic],” Al-Ghary Journal of Economic and Administrative Sciences, vol. 18, no. 2, pp. 1031–1052, 2022, doi: 10.36325/ghjec.v18i2.13928.

H. A. Abboud, and D. H. Khaleel, “The impact of banking risks on banking stability: An analytical study of a sample of private banks listed on the Iraq Stock Exchange for the period (2011–2023) [in Arabic],” Al-Ghary Journal of Economic and Administrative Sciences, vol. 21, no. 3, pp. 445–467, 2025, doi: 10.36325/ghjec.v21i3.19341.

F. Abbas, O. Masood, S. Ali, and S. Rizwan, “How do capital ratios affect bank risk-taking: New evidence from the United States,” SAGE Open, vol. 11, no. 1, 2021, doi: 10.1177/2158244020979678.

N. H. M. Al-Husainy, H. M. Jadah, S. H. Ogaili, S. H. Alkhafaji, H. A. Abdullah, and M. Z. H. Al-Zeyadi, “Internal and external determinants of credit risk: Empirical evidence from Iraqi commercial banks,” Journal of Corporate Finance Research, vol. 20, no. 2, pp. 93–107, 2026, doi: 10.17323/j.jcfr.2073-0438.20.2.2026.93-107.

M. Abusharbeh, “Determinants of bank capital adequacy: Empirical insights from Arab countries,” Banks and Bank Systems, vol. 20, no. 1, pp. 221–230, 2025, doi: 10.21511/bbs.20(1).2025.18.

M. H. Hendrawan, F. Defung, and W. Wardhani, “Un/desired impact of capital buffers: Evidence from Indonesian bank profitability and risk-taking,” Cogent Economics & Finance, vol. 11, no. 2, Art. no. 2245217, 2023, doi: 10.1080/23322039.2023.2245217.

G. Mujtaba, Y. Akhtar, S. Ashfaq, I. A. Jadoon, and S. M. Hina, “The nexus between Basel capital requirements, risk-taking and profitability: What about emerging economies? Economic Research–Ekonomska Istraživanja, 35(1), 230–251,” , 2022, doi: 10.1080/1331677X.2021.1890177.

F. Abbas, S. Ali, S. Moudud-Ul-Huq, and M. Naveed, “Nexus between bank capital and risk-taking behaviour: Empirical evidence from US commercial banks,” Cogent Business & Management, vol. 8, no. 1, Art. no. 1947557, 2021, doi: 10.1080/23311975.2021.1947557.

M. Mateev, M. U. Tariq, and A. Sahyouni, “Competition, capital growth and risk-taking in emerging markets: Policy implications for banking sector stability during COVID-19 pandemic,” PLOS ONE, vol. 16, no. 6, Art. no. e0253803, 2021, doi: 10.1371/journal.pone.0253803.

V. D. Dang, T. T. H. Le, D. H. Le, and H. D. H. Nguyen, “Bank capital and lending behavior of Vietnamese commercial banks,” Journal of Asian Finance, Economics and Business, vol. 8, no. 2, pp. 373–385, 2021, doi: 10.13106/jafeb.2021.vol8.no2.0373.

H. A. S. Alothman, and S. H. M. Alktrani, “The role of financial soundness indicators in assessing banking financial stability: An analytical study of the Iraqi banking sector [in Arabic],” Al-Ghary Journal of Economic and Administrative Sciences, vol. 21, no. 4, pp. 284–312, 2025, doi: 10.36325/ghjec.v21i4.19973.

S. Ali, F. Abbas, and M. Umar, “Nexus between economic freedom and bank risk-taking: Evidence from US commercial banks,” Panoeconomicus, vol. 72, no. 2, pp. 251–271, 2025, doi: 10.2298/PAN200731005A.

A. Kundid Novokmet, and A. Pavić, “Bank risk-taking and deposit price in times of low economic activity: Relevance or irrelevance of capital requirements? Ekonomski pregled, 75(6), 441–459,” , 2024, doi: 10.32910/ep.75.6.1.

M. Alzoubi, A. Alkhatib, A. A. Alsmadi, and H. Kasasbeh, “Bank size and capital: A trade-off between risk-taking incentives and diversification,” Banks and Bank Systems, vol. 17, no. 4, pp. 1–11, 2022, doi: 10.21511/bbs.17(4).2022.01.

K. U. Mohammad, and M. R. Khan, “Bank capital structure dynamics and Covid-19: Evidence from South Asia,” iRASD Journal of Economics, vol. 3, no. 3, pp. 293–304, 2021, doi: 10.52131/joe.2021.0303.0045.

K. S. Rajha, “The impact of capital adequacy and operating efficiency on Saudi banks performance,” Journal of Asian Finance, Economics and Business, vol. 10, no. 2, pp. 333–341, 2023, doi: 10.13106/jafeb.2023.vol10.no2.0333.

I. Saleh, and M. Abu Afifa, “The effect of credit risk, liquidity risk and bank capital on bank profitability: Evidence from an emerging market,” Cogent Economics & Finance, vol. 8, no. 1, Art. no. 1814509, 2020, doi: 10.1080/23322039.2020.1814509.

A. I. Hunjra, Q. Zureigat, and R. Mehmood, “Impact of capital regulation and market discipline on capital ratio selection: A cross country study,” International Journal of Financial Studies, vol. 8, no. 2, Art. no. 21, 2020, doi: 10.3390/ijfs8020021.

N. M. Sang, “Capital adequacy ratio and a bank’s financial stability in Vietnam,” Banks and Bank Systems, vol. 16, no. 4, pp. 61–71, 2021, doi: 10.21511/bbs.16(4).2021.06.

T. H. Le, N. B. Nguyen, and D. T. Nguyen, “The impact of capital requirement on bank performance: Empirical evidence from Vietnamese commercial banks,” Journal of Asian Finance, Economics and Business, vol. 9, no. 6, pp. 23–32, 2022, doi: 10.13106/jafeb.2022.vol9.no6.0023.

Z. M. Salim, and L. A. Al-Hashemi, “Evaluating the performance of commercial banks in the Iraqi Stock Exchange: An analytical study of the banking rating system during the period (2012–2021),” Tanmiyat Al-Rafidain, vol. 43, no. 142, pp. 254–276, 2024, doi: 10.33899/tanra.2024.183446.1355.

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Published

2026-11-11

How to Cite

Ibrahim, A. M. . (2026). The Reciprocal Relationship between Bank Capital and Risk and Testing the Partial Adjustment Hypothesis Using a Simultaneous Equations System: An Applied Study of a Sample of Iraqi Private Commercial Banks Listed on the Iraq Stock Exchange for the Period . Innovative Construction and Petrochemical Technologies, 3(2), 465–477. https://doi.org/10.71285/icpt.v3i2.73