1. Introduction
Rural banks are financial institutions with a limited scope of operations, primarily engaged in savings and lending activities within certain geographic areas, usually within a few provinces (
Sukmana et al. 2020). In Indonesia, rural banks are regulated by the Indonesian Financial Services Authority under a more relaxed regulatory framework compared to commercial banks. There are over 1400 rural banks in Indonesia, serving niche markets, particularly populations residing in remote or underserved areas that are not catered to by commercial banks
1. As such, their business model closely resembles a hybrid between traditional banking and microfinance institutions (
Kumar et al. 2021;
Ariefianto et al. 2024).
In theory, the management of these four components—collectively referred to as credit risk management—could follow a sequential process (
Lundqvist and Vilhelmsson 2018). However, in practice, they are often addressed simultaneously, leading to potential endogeneity due to reverse causality (
Zheng et al. 2024;
Hansen et al. 2024). Bank managers must continuously balance profitability and risk with regulatory compliance, resulting in dynamic adjustments and inherent trade-offs (
Sutrisno et al. 2024). Although the literature on credit risk management is extensive, it remains fragmented, with most studies focusing on isolated aspects. A comprehensive examination of the interactions among these four key variables—especially within a complex dynamic system—remains largely underexplored. To the best of our knowledge, this study is the first to present a comprehensive, dynamic portrayal of a rural bank credit risk management process.
Our study applies the Vector Autoregression (VAR) technique to panel data (PVAR). The model, following
Abrigo and Love (
2016), is estimated using a panel dataset of 1461 conventional BPRs, with quarterly observations spanning from June 2010 to March 2024 (56 quarters), resulting in a total of 81,816 observations.
An Impulse Response Function (IRF) analysis is conducted to trace the dynamic impact of shocks originating from one endogenous variable on the others. In addition, FEVD is performed to assess the relative contribution of each shock to the forecast error variance.
This study pursues several key objectives. First, building on the recommendations of
Yanenkova et al. (
2021) and
Beatty and Liao (
2014), we aim to systematically map the dynamics of credit risk management. The nature of our study object, which is an extensive panel dataset of rural banks in Indonesia, enables the application of a rigorous and robust econometric technique: Panel VAR. Second, rural banks represent the most basic form of banking institutions; thus, the dynamics of credit risk management can be examined with minimal interference from complexities typically associated with more diversified bank. The Indonesian context also presents a unique regulatory setting, wherein the incurred loss model remains the official regime (“de jure”), while commercial banks are required to adopt the expected loss model. This regulatory duality may generate spillover effects, given the close linkages between rural and commercial banking sectors. Third, our subsample-based robustness checks provide valuable variations that enhance our understanding of credit risk management dynamics across different institutional contexts.
Understanding these dynamic patterns is crucial for regulators and practitioners alike. Given rural banks’ critical role in advancing financial inclusion in Indonesia and other developing economies, the insights generated by this study carry significant implications for policy and practice at both national and global levels.
The remainder of this paper is organized as follows:
Section 2 reviews the relevant literature;
Section 3 outlines the data and methodology;
Section 4 presents the empirical results; and
Section 5 concludes the whole paper.
2. Literature Review
In Indonesia, the credit risk management framework for Rural Banks still adheres de jure to the incurred loss model, as stipulated in the Financial Services Authority Regulation (POJK No. 1/2024). Under the incurred loss paradigm, banks recognize credit losses only when there is observable evidence of a credit event, such as missed repayments, credit rating downgrades, or outright default (
López-Espinosa and Penalva 2023). In contrast, commercial banks operate under a forward-looking approach—expected credit loss (ECL)—as mandated by IFRS 9 and implemented through POJK No. 40/2019. This approach allows banks to proactively set aside credit loss provisions without the occurrence of a credit event, functioning as a countercyclical buffer (
Casta et al. 2019;
Hansen et al. 2024). The distinction arises from the fact that rural banks are not yet required to comply with the IFRS-based financial reporting standards mandated for conventional banks under POJK No. 15/2024.
Figure 1 schematically illustrates the key phases of credit risk management in rural banks. The first phase involves the recognition of NPLs. The Financial Services Authority (OJK) has established loan quality classifications based on the timeliness of loan repayments (collectability), as outlined in POJK No. 62/2020. There are five loan quality categories: Current (1), Special Mention (2), Substandard (3), Doubtful (4), and Loss/Default (5). Loans falling under categories 3 to 5 are considered NPLs. In addition, OJK has established minimum LLP requirements corresponding to each collectability category (see
Table 1).
Once a bank recognizes an NPL, it must begin provisioning for potential losses through LLP. The loan loss reserve (LLR) represents the cumulative amount of LLPs and is subject to change based on the quality of the underlying loans. The reserve can be reduced by the value of acquired collateral, resulting in what is referred to as Net LLR. The outstanding loan amount after deducting the LLR is known as the Net NPL.
If recovery is deemed impossible, the loan is charged off (Loan Charged Off—LCO)—either written down against the loan loss reserve or recognized directly as a loss in the profit and loss statement. This charge-off immediately reduces the bank’s assets and may erode its equity, as any losses exceeding the available reserves must be absorbed by capital. In some cases, the recognition of NPLs may occur too late or involve amounts that are too large (
Haggard et al. 2017;
Duho 2023). Under such circumstances, banks may opt to expense the NPL directly against capital.
Haggard et al. (
2017) documented that many banks “delay provisioning for bad loans until it is too late, thereby potentially amplifying the adverse impact on earnings and capital”. This behavior typically occurs during the downturn phase of the business cycle, when banks, hoping for a swift recovery, postpone the recognition of loan losses (
Mendicino et al. 2020). In contrast, the more recent IFRS 9 accounting regime mandates forward-looking provisioning, which has been shown to accelerate the recognition of losses and thereby mitigate the shock to capital. Indeed, recent studies (
Casta et al. 2019;
Ghosh 2024) have found that following IFRS 9 adoption, banks generally report lower realized losses and demonstrate stronger loss absorption capacity, indicating a timelier buildup of buffers to cover NPLs.
When credit losses begin to erode capital, regulators typically respond by tightening capital adequacy requirements, prompting banks to rebuild their capital buffers (
Hansen et al. 2024). Banks may respond by retaining earnings, issuing new equity, or increasing their LLP. Under Basel regulations, LLPs are generally required to cover expected—not merely incurred—losses, leading banks to establish additional reserves for NPLs (
Abad and Suarez 2018). A ‘dynamic’ provisioning approach helps smooth losses over the business cycle. Theoretical models have suggested its ability to mitigate procyclicality by spreading loss recognition over time (
Saiz-Sepúlveda and Hernández-Tamurejo 2025).
In practice, the management of these key variables often occurs simultaneously, as they are all endogenously determined (
Yanenkova et al. 2021;
Zheng et al. 2024). Bank management seeks to optimize profitability while remaining compliant with regulatory standards (
Bryce et al. 2015). Overly conservative policies may undermine profitability (
Davis et al. 2022), whereas overly aggressive strategies can result in credit risk exposures that exceed available capital buffers, potentially triggering regulatory intervention (
Jokipii and Milne 2008).
Better-capitalized banks tend to adopt more prudent provisioning strategies, building higher loan loss reserves and reducing the likelihood that NPLs will escalate into charge-offs (
Casta et al. 2019). Empirical evidence suggests that such forward-looking provisions, along with tighter credit due diligence, help cushion future NPLs and enhance financial stability—effectively closing the loop by converting capital buffers into loss-absorbing reserves (
Duho 2023;
López-Espinosa and Penalva 2023). In summary, rising NPLs lead to charge-offs that erode capital, prompting banks to increase provisions. Robust provisioning frameworks, such as those under IFRS 9, can mitigate the growth of new NPLs, whereas weak capital buffers expose banks to a vicious cycle of losses and further capital deterioration (
Mendicino et al. 2020;
Nguyen et al. 2023).
Our model is quite generic and can be applied to other banking contexts, especially rural banks in large emerging markets (like Brazil, India and China). This applicability stems from the nature of the model, which is extracted from real-world observations (
Yanenkova et al. 2021).
4. Materials and Methods
PVAR is an econometric model that allows for examination of the dynamic relationships of a set of endogenous variables along with (optionally) a set of exogenous variables (
Stock and Watson 2001). By employing this model, a more flexible relationship can be specified in terms of causal directions, and a more comprehensive understanding can be obtained, represented as a dynamic trajectory rather than a static impact. PVAR procedures developed by
Abrigo and Love (
2016) are followed in this study and have also been applied in prior research by
Jouida (
2018),
Blankson et al. (
2022), and
Gaies and Jahmane (
2022).
In matrix form, PVAR can be expressed as
where
Yit is a k × 1 vector of endogenous variables that can also take a lagged form in the right-hand side of the regression.
A1 to
Ap are the matrices of PVAR parameters to be estimated with every
; j = 1 …, p is of dimensions k × k,
Xit is a vector of exogenous variables and
B is the vector parameter of exogenous variables.
εi is the vector of endogenous-variable panel-specific fixed effects with dimensions of 1 × k and
uit is a k × 1 vector of the idiosyncratic error term. Index i in vector and matrix notation denotes a cross-section (bank) unit and t denotes the selected time lag (p).
A description of the endogenous and exogenous variables used in the study is presented as follows. LLP is measured by ratio of LLP to Total Loan. NPL is calculated as (Gross) NPL to Total Loan. LCO is obtained from Loan Loss Charge-Off divided by Total Loan. CAPITAL is the ratio of total equity divided by total assets. As control variables, the Cost-to-Income ratio (CIR) (as proxied for efficiency) is measured as the ratio of Non-Interest Cost to Total Revenue. ROE (Return on Equity) is calculated as net profit (before tax) divided by total equity. Lastly, SIZE is the log of total assets.
The dataset comprises quarterly observations from 1461 rural banks, covering the second quarter of 2010 to the first quarter of 2024 (56 quarters): 81.816 bank-quarter observations. The data were extracted from the Indonesia Financial Service Authority (OJK) website. Following
Sullivan et al. (
2021), Winsorization was applied to variables exhibiting outlier issues. Outliers were defined as observations with absolute values exceeding the threshold, calculated as the mean plus three times the standard deviation. These extreme values were replaced with the corresponding 5th and 95th percentiles, respectively, for values below or above the lower and upper thresholds.
The analysis was initiated with the presentation of descriptive statistics, including an examination of the data’s non-stationary characteristics. As noted by
Abrigo and Love (
2016), the Panel VAR approach requires all variables to be stationary and an appropriate lag length to be selected. To assess stationarity, the modified Dickey–Fuller test developed by
Pesaran (
2003) was employed. The maximum (truncated) lag length was determined based on the
Said and Dickey (
1984) formula: Max Lag =
, where
T represents the number of time-series observations (56), resulting in a maximum lag of 4.
In estimating a VAR model, selecting the appropriate lag length and determining the ordering of endogenous variables are critical steps (
Enders 2014). The moment selection method developed by
Andrews and Lu (
2001) was employed in this study. As the baseline, the following ordering of endogenous variables was adopted: NPL, LLP, LCO, and CAPITAL. This ordering was guided by the theoretical framework discussed in the literature section. To support the assumption of endogeneity among the variables, a Granger causality test was conducted.
IRF simulations were performed for the endogenous variables. These simulations were conducted using Monte Carlo methods with 500 draws to generate 95% confidence intervals. To assess the reliability of the IRFs, a stability check was conducted. A Panel VAR is considered stable if all eigenvalues lie within the unit circle (
Enders 2014). Failure to meet this stability condition renders the IRFs unreliable.
To quantitatively assess the dynamic contribution of each innovation (e.g., NPL to LLP and LCO; LLP and LCO to CAPITAL), the FEVD was computed. According to
Love and Zicchino (
2006), the FEVD quantifies the proportion of the forecast error variance of each variable that can be attributed to shocks in the other endogenous variables over different time horizons. All IRF and FEVD analyses were conducted over a 20-quarter horizon.
The IRF analysis was extended using several subsamples based on ownership, scale, location, and COVID-19 periods. This extension served two primary objectives: first, to conduct robustness checks by assessing whether the baseline results are consistent across different subsamples, and second, to identify potential variations, thereby generating deeper and more nuanced insights.
For the ownership subsamples, rural banks were grouped according to their controlling shareholders. There are three types of ownership: Cooperative (COOP), Government (including regional government, GOV), and Private (PRIV). For the scale subsamples, OJK’s capital-based classification—LARGE, MEDIUM, and SMALL—was used. Banks were classified based on the latest available data (first quarter of 2024), and this classification is treated as time-invariant. For geographic location, banks were categorized based on the location of their headquarters: JAVA (the economic center of Indonesia) or NON-JAVA. Observations from the first quarter of 2020 to the first quarter of 2023—corresponding to the Ministry of Health’s COVID-19 pandemic declaration—were categorized as the COVID period; all other observations were classified as NON-COVID.
Lastly, the order invariance condition was tested. There are 24 possible orderings (4! permutations); however, following
Huljak et al. (
2022), not all possibilities were explored. Instead, two logically plausible alternative orderings were selected: (1) CAPITAL → NPL → LLP → LCO and (2) LLP → LCO → CAPITAL → NPL.
5. Conclusions
This study makes a significant contribution to the literature on credit risk management by offering a clear dynamic depiction of four core variables—NPL, LLP, LCO and CAPITAL—within a system framework. The model is estimated using the Panel VAR methodology developed by
Abrigo and Love (
2016), with control variables including CIR, ROE, and SIZE. The analysis is based on a quarterly panel dataset comprising 1461 Indonesian rural banks from the second quarter of 2010 to the first quarter of 2024, yielding a total of 81,816 bank-quarter observations.
Several key findings emerge from the analysis. First, a shock to NPLs leads to an immediate and temporary increase in both LLP and LCO; over the long run, LCO remains elevated, while provisioning turns negative. Importantly, NPL shocks exert a stronger influence on LCO than on LLP. Second, CAPITAL clearly operates as a buffer against credit losses: a shock to LCO results in a sharp and permanent increase in capital, whereas a shock to LLP induces a gradual decline. These findings indicate that LCO shocks play a more prominent role in driving capital dynamics than LLP shocks.
Third, while the results are robust across a range of robustness checks, meaningful variations are identified. In the COOP rural bank subsample, virtually no response is observed to NPL, LLP, or LCO shocks—pointing to potential governance weaknesses or unchecked managerial discretion (
Mehdi et al. 2025). Among large banks, loan-quality deterioration appears more erratic, yet provisioning for credit losses is considerably more predictable. Finally, strong evidence of the expected-loss principle is observed, particularly in large banks, despite the prevailing regulatory framework, which continues to follow an incurred-loss approach.