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Article

Fundamental Risk and Capital Structure Adjustment Speed: International Evidence

by
Dilesh Rawal
1,2,*,
Jitendra Mahakud
2 and
L Maheswar Rao Achary
3
1
School of Commerce, Birla Global University, Bhubaneswar 751019, India
2
Department of Humanities and Social Science, Indian Institute of Technology Kharagpur (IIT Kharagpur), Kharagpur 721302, India
3
Department of Finance and Accounting, Indian Institute of Management Indore (IIM Indore), Prabandh Shikhar, Rau-Pithampur Rd, Indore 453556, India
*
Author to whom correspondence should be addressed.
J. Risk Financial Manag. 2025, 18(8), 468; https://doi.org/10.3390/jrfm18080468
Submission received: 8 July 2025 / Revised: 7 August 2025 / Accepted: 19 August 2025 / Published: 21 August 2025
(This article belongs to the Special Issue Emerging Issues in Economics, Finance and Business—2nd Edition)

Abstract

This study investigates the impact of countries’ fundamental risk on the speed of adjustment (SOA) towards firms’ target capital structures. Using a dataset comprising 17,747 non-financial firms from 44 countries, this study finds that a reduction in country-specific fundamental risk significantly increases a firm’s rate of leverage adjustment. More specifically, we observe that a one standard deviation reduction in fundamental risk results in a substantial 12.79% increase in SOA for book leverage and a 4.81% increase for market leverage. The study also finds evidence of the influence of individual dimensions of fundamental risk on SOA. It implies that improved operational efficiency, high foreign accessibility, enhanced corporate transparency, and increased political stability expedite the pace of leverage adjustment within firms. Robustness checks using a machine learning random forest estimator predicted leverage targets to corroborate these findings. The results highlight the critical role of institutional quality in reducing financing frictions and promoting more efficient corporate capital adjustments. These insights have profound implications for policymakers, emphasising the need to strengthen institutional and regulatory frameworks to enhance capital market integrity and reduce friction, which could ultimately create value for the firm stakeholders.

1. Introduction

Even after decades of research on the implications of optimal capital structure on firm profitability and investments, the increasing level of leverage in the corporate capital structure has long been an intriguing question for practitioners and policymakers1. An extensive body of research suggests that firms seek a target leverage ratio and alter their leverage level once it deviates from the target (An et al., 2021; Cook & Tang, 2010; He et al., 2021; Huang & Ritter, 2009; Li et al., 2023; Öztekin & Flannery, 2012; Rawal et al., 2024a; Rawal et al., 2024b). Inconsistent with Modigliani and Miller’s (1958) irrelevant proposition, the partial-adjustment model of firm leverage advocates that firms do have target capital structures and firms would like to choose the speed of adjustment (SOA hereafter) towards target capital depending upon the trade-off between costs and the benefits of leverage adjustment. Such convergence is conditional on adjustment costs (e.g., transaction and debt agency costs) that limit and hinder complete adjustment toward target leverage (Fisher et al., 1989). As adjustment costs vary between firms, time, and countries, so does the convergence rate (Çam & Özer, 2021; He et al., 2021; Huang & Ritter, 2009; Öztekin & Flannery, 2012).
Initially, empirical findings focused on estimating SOA and shed light on various firm-specific factors influencing the speed of leverage adjustment. These factors encompass firm-level indicators such as investment opportunities, financial constraints, earnings volatility, corporate investment, crash risk exposure, and the sensitivity of equity costs to leverage deviations (Alter et al., 2015; Dang et al., 2012; Faulkender et al., 2012; Tan et al., 2021; Q. Zhou et al., 2016). In recent years, the focus has shifted from identifying firm-specific factors of adjustment cost to country-level determinants as country-specific factors impact the cost of capital and transaction costs (Belkhir et al., 2016; Çam & Özer, 2021). Prior research indicates that capital structure adjustment is influenced by a country’s legal tradition, financial system development, ease of capital access, shareholder rights enforcement, political and economic uncertainty, and macroeconomic condition (M. Baker, 2009; Çolak et al., 2018; Cook & Tang, 2010; Graham & Leary, 2011; Kang et al., 2018; Öztekin, 2015; Öztekin & Flannery, 2012; Rajan & Zingales, 1995). Appendix A comprehensively summarises the empirical research on the factors affecting capital structure adjustment speed in a tabular form.
No empirical evidence, however, has explored the impact of a country’s fundamental risk on the capital structure SOA. Nevertheless, economic reasoning suggests that a country’s risk could influence the firm’s adjustment costs when it seeks to modify its existing capital structure. This is due to several reasons. Firstly, a country’s fundamental risk signifies various vulnerabilities within its capital markets. These vulnerabilities arise from weaknesses in the institutions that are vital for the smooth operation of capital markets. A notable concern is the limited capacity of a country’s financial markets to finance its domestic growth opportunities. This constraint forces multinational corporations and foreign portfolio investors to actively participate in supporting domestic companies that encounter funding shortfalls; however, these markets face hindrances that impede the seamless flow of capital. These hindrances encompass operational inefficiencies, limitations on foreign involvement, issues pertaining to governance and transparency regulations, inadequate legal safeguards for resolving disputes, and political instability. These factors collectively discourage potential investors, both those seeking direct investments and those interested in portfolio investments, from engaging with these markets. Consequently, this situation results in a higher cost of capital for firms operating in countries with high fundamental risks. This, in turn, could translate to greater adjustment costs for firms seeking to modify their capital structure. Consequently, under the dynamic trade-off theory, it may lead to a slower SOA towards achieving the desired target capital structure. In other words, it is reasonable to argue that lower fundamental risk d a country would facilitate firms’ capital access by reducing the severity of market frictions such as agency conflicts, information asymmetry, and transaction costs, which may lead to a quicker convergence towards the target capital structure. Thus, we hypothesise that a company’s SOA to target capital structure will be more favourable in countries with lower fundamental risk.
To the best of our knowledge, no studies have investigated the influence of countries’ fundamental risk on the SOA; however, it has been argued that a country’s fundamental risk affects the cost of debt and equity (Çam & Özer, 2021). An advantage of examining a target adjustment model in the context of comprehensive fundamental risk indicators is that the costs and benefits of adjusting to targets will be a pure function of an inclusive measure of fundamental risk.
Employing a large sample of 17,747 non-financial firms across 44 economies spanning 15 years, our findings indicate that country-specific fundamental risk affects how corporations move towards their target capital structure. Using a partial adjustment model of firm leverage, results suggest that an economic environment supported by lower fundamental risk enhances capital market access and facilitates the rebalancing of capital structures. Consistent with related literature, lower fundamental risk in a country would facilitate firms’ access to appropriate long-term capital by reducing the severity of market frictions such as agency conflicts, information asymmetry, and transaction costs, which may lead to a quicker convergence towards the target capital structure (Belkhir et al., 2016; Çam & Özer, 2021; Öztekin & Flannery, 2012).
Our research adds to the existing body of knowledge in several ways. First, to our knowledge, no study examines the impact of countries’ fundamental risk in explaining disparities in adjustment speed amongst firms. By doing so, our study expands the growing corporate finance literature, which highlights the effects of country-specific factors on capital structure adjustment speed (Çolak et al., 2018; Kang et al., 2018; Öztekin, 2015; Öztekin & Flannery, 2012). Second, there is no empirical evidence on the implications of comprehensive fundamental risk indicators of (Karolyi, 2015) on SOA. Previous studies by (Goodell & Goyal, 2018) and (Çam & Özer, 2021), using the country risk dimensions of (Karolyi, 2015), showed that firms utilise less debt in countries that have lower fundamental risk. Our study further expands these findings in the context of target capital structure adjustment. Related strands of literature using machine learning techniques like random forest estimation (Amini et al., 2021; Smith, 2022) have been used to predict debt equity decisions with a reasonable level of accuracy (92% correct prediction). However, to the best of our knowledge, no one has used this technique in a dynamic capital structure framework to predict target capital structure before using these predicted targets to identify adjustment speed determinants. We fill this gap by doing the same as the robustness test.
The remainder of the paper is organised as follows: Section 2 presents the materials and methods, which include the data, variable description, and model specification; Section 3 presents the results, which also includes the robustness test; a discussion of the results is provided in Section 4; and Section 5 concludes the paper, as well as highlighting the limitations and scope of future research.

2. Materials and Methods

2.1. Materials (Data and Variables)

2.1.1. Data

The study sample represents 17,747 non-financial firms from 44 countries (Morgan Stanley Capital International developed and emerging market classification) from 2000 to 2015. We have excluded financial and utility firms as regulatory norms influence their capital structure decisions. The study period has been restricted due to the unavailability of countries’ fundamental risk (frisk) data. Sample selection criteria further require firms to have non-missing data and exclude any firm with fewer than 2 consecutive years of data. We collect firm-level financial information from the Thomson Reuters Eikon database. Data related to countries’ fundamental risk indicators have been collected from G. Andrew Karolyi’s “Cracking the emerging markets enigma” (Karolyi, 2015). In addition to this, data related to macroeconomic fundamentals are collected from the World Bank database. We winsorised all firm-level data at the 1% level to eliminate outliers. These procedures eventually result in 184,792 firm-year observations. Table 1 represents the sample distribution.

2.1.2. Variables

Leverage: We measure leverage as the ratio of the total debt to total capital, where capital is defined as the sum of total debt and equity. This measure offers a comprehensive view of past financing decisions by accounting for the capital employed. This study used the book and market value leverage as a proxy for firms’ leverage. Book leverage (BLEV) is defined as total debt/(total debt + equity), and market leverage (MLEV) is defined as total debt/(total debt + market capitalisation).
Country fundamental risk: In order to measure country-level fundamental risk, we used the five dimensions of country risk: market capacity (MC), which measures the capital markets development; operational efficiency (OE), which measures the efficiencies of trading systems; foreign accessibility (FA), which measures the flow of capital; corporate transparency (CT), which measures the corporate reporting and governance; and political stability (PS), which captures the institutions and government efficiency of a country. MC measures the breadth, scope, and trading activity of financial markets and, therefore, minimises the costs of stock issuance and debt contracting (Belkhir et al., 2016; Çam & Özer, 2021; Demirgüç-Kunt & Maksimovic, 1999; Öztekin, 2015) and reduces transaction costs (Belkhir et al., 2016; Öztekin & Flannery, 2012). OE examines the technological efficiencies of trading systems and their contribution to reducing transaction costs. FA indicates the free movement of capital and access to external financing (An et al., 2021; Do et al., 2020). Efficient CT reduces information asymmetry and agency conflicts and lowers the cost of capital (Belkhir et al., 2016; North, 1990). PS represents the ability of institutions to safeguard investors, such as legal protection; thus, it reduces transaction costs (M. Baker, 2009; Goodell & Goyal, 2018). The country fundamental risk is measured as the first principal component (PC1) using the principal component analysis on all five risk dimensions mentioned above (MC, OE, FA, CT, PS). A higher value in the fundamental risk variable indicates lower risk.
Other variables: Consistent with related literature (Cook & Tang, 2010; Frank & Goyal, 2009; He et al., 2021; Kim & Xie, 2023; Öztekin & Flannery, 2012; Smith, 2022), this study has used several firm and industry-specific determinants in order to measure the target leverage of firms, which includes firm size (SIZE), tangibility (TANG), market-to-book ratio (MTB), profitability (PROF), depreciation (DEP), R&D expense (RDEXP), R&D dummy (RD_DUM), industry book leverage (BLEV_IND), and industry market leverage (MLEV_IND).
In addition, we have used financial constraints (FC), over-levered dummy (OL), GDP growth rate (GDPG), and inflation rate (INF) as control variables affecting a firm’s speed of adjustment (An et al., 2021). Table 2 presents the variable definition.
Table 3 reports descriptive statistics of the variables used in our study. An average sample firm finances nearly 28% of its capital using debt (26% as per MLEV), earns around 8% return on assets, and has a tangibility ratio of 35%. The median BLEV and MLEV by country, industry, and year are 26% and 23%, respectively.
Table 4 presents the correlation coefficients of variables used for target leverage estimation.

2.2. Model Specification and Estimation Methods

Consistent with the existing literature (Çolak et al., 2018; Flannery & Rangan, 2006; Lemmon et al., 2008; Öztekin & Flannery, 2012) (see methodology column of Appendix A), we employ the following partial-adjustment model to estimate how fast a firm offsets the deviation from the target leverage:
L E V i , t + 1 , j     L E V i , t , j =   λ L E V i , t + 1 , j   L E V i , t , j   +   δ i , t + 1 , j
where L E V i , t , j is measured by the book and market leverage (BLEV, MLEV) of firm i in country j at year t + 1, L E V i , t + 1 , j is the target leverage, and λ is the speed of adjustment toward the target leverage. Since the target leverage ( L E V i , t + 1 , j ) is unobservable, consistent with An et al. (2021), the fitted value of Equation (2) is used as a proxy for the target leverage. Equation (2) is estimated using fixed effects:
L E V i , t + 1 , j =   α i +   β j X i , t , j + f i , +   t i ,   +   υ i , t + 1 , j
where, X i , t , j is a vector of firm- and industry-level variables, including firm SIZE, TANG, MTB, PROF, DEP, RDEXP, RD_DUM, and LEV_IND. To capture the unobserved heterogeneity across firms and years, we include firm and year fixed effects (i.e., fi and ti) in the model (Lemmon et al., 2008). Furthermore, Equation (1) can be rearranged as follows:
Δ B L E V I , t + 1 , j   =   λ     B D E V i , t , j +   δ i , t + 1 , j
Δ M L E V I , t + 1 , j   =   λ     M D E V i , t , j +   δ i , t + 1 , j  
where Δ B L E V I , t + 1 , j and Δ M L E V I , t + 1 , j represent the change in book and market leverage of a firm i from year t to t + 1 in country j, B D E V i , t , j indicates the deviation of actual book leverage from target ( i . e . ,   B L E V i , t + 1 , j   B L E V i , t , j ), and   M D E V i , t , j represents the deviation of actual market leverage from target ( i . e . ,   M L E V i , t + 1 , j   M L E V i , t , j ). The λ coefficient estimates the adjustment speed towards the target leverage. A higher value of λ indicates a faster SOA. To examine the impact of the country’s fundamental risk dimensions on the SOA, we relax the assumption of a constant adjustment rate (Equations (3) and (4)) and allow the firm SOA to depend on the fundamental risk of the country (Öztekin & Flannery, 2012). Hence, we model λ in Equations (3) and (4) as a function of the country’s fundamental risk dimension and other control variables:
λ i , t , j =   β 0 +   β 1 F R i s k i , t , j +   β 2 Υ i , t , j
where F R i s k is the country’s fundamental risk dimension and Υ i , t , j is the set of control variables. Substituting Equation (5) into Equations (3) and (4), and controlling for the industry (Ind), country (j), and year (t) fixed effects, results in the following specifications:
Δ B L E V I , t + 1 , j =   β 0 B D E V i , t , j +   β 1 F R i s k i , t , j   B D E V i , t , j +   β 2   Z i , t , j B D E V i , t , j + I n d . + j + t + δ i , t + 1 , j
Δ M L E V I , t + 1 , j   =   β 0 M D E V i , t , j +   β 1 F R i s k i , t , j M D E V i , t , j +   β 2   Z i , t , j M D E V i , t , j + I n d . + j + t + δ i , t + 1 , j
Equations (6) and (7) serve as our final empirical model for estimation, which is estimated with OLS with bootstrapped standard errors to account for generated regressor (Pagan, 1984).
A positive and significant β 0 in Equations (6) and (7) implies that the firm has a target leverage ratio and actively adjusts its capital structure to converge towards this target. When multiplied by 100, the coefficient’s magnitude denotes the proportional decrease in the deviation between the firm’s initial leverage and the target leverage over 1 year, known as SOA towards target capital structure.
The percentage change in the SOA of a firm due to a one standard deviation increase in F R i s k can be found by using the following equation:
S O A c h a n g e = σ   F r i s k ×   β 1   β 0

3. Results

3.1. Preliminary Evidence of SOA Heterogeneity Across Country Risk Profiles

Before presenting our main results, we provide preliminary evidence on heterogeneity in the speed of capital structure adjustments (SOA) across different country risk environments. Specifically, we partition the sample into high-risk and low-risk country groups based on several dimensions of national fundamental risk.
Countries are classified into high or low risk for each risk dimension using the sample median as the threshold. We then estimate the SOA separately for firms operating within each group using Equation (3). Table 5 shows that firms in countries with low fundamental risk measured as the first principal component of five institutional quality dimensions (market capacity, operational efficiency, foreign accessibility, corporate transparency, and political stability) adjust significantly faster (45%) than those in high-risk countries (38%), with a 7% difference (p < 0.01). Corporate transparency, operational efficiency, and political stability are individually associated with faster SOA in low-risk settings. Foreign accessibility shows no difference, while market capacity shows a small but significant effect. These findings suggest that institutional quality and macro-level stability can facilitate firms’ more responsive capital structure decisions.
This heterogeneity underscores the importance of accounting for country-level risk characteristics when analysing capital structure dynamics. It strongly motivates the more detailed empirical analysis presented in the following sections.

3.2. Baseline Results

Table 6 and Table 7 present our main partial-adjustment model estimation results for book leverage (∆BLEV) and market leverage (∆MLEV), respectively. Consistent with the literature, all independent variables are multiplied by the leverage deviation from the target (BDEV or MDEV).
Our results suggest that a lower country-level frisk influences SOA positively (Coef. = 0.071, t = 10.25). The result is not only statistically significant but also has economic significance. Regarding economic significance, a one standard deviation increase in frisk, which means a decrease in the fundamental risk as a higher value in the frisk index indicates lower risk, increases the SOA by 12.79% (=0.071 ×0.49/0.34) (calculated using Equation (8)).
In addition, Columns 2, 3, 4, and 5 show that the coefficient estimate for countries with high operating efficiency (Coef. = 0.073), high foreign accessibility (Coef. = 0.018), high corporate transparency (Coef. = 0.072), and high political stability (Coef. = 0.044) are positive and significant at a 1% level.
Using market leverage (as shown in Table 7), we observe that the Frisk * MDEV coefficient is also positive and significant (Coef. = 0.0318, t = 5.41), which means that a one standard deviation increase in frisk increases the SOA of market leverage by 4.81% (=0.0318 × 0.50/0.33) (using Equation (8)).
Except for MC, we find all other individual components of fundamental risk, i.e., OE, FA, CT, and PS, are positive and significant. This implies that a firm’s observed leverage can deviate from its target level in the presence of considerable adjustment costs due to higher frisk.
In Table 6 and Table 7, turning to the effect of control variables on SOA, we find that our result is consistent with the literature (An et al., 2021; Cook & Tang, 2010; Dang et al., 2012). In particular, levered firms (coefficients of OL * BDEV and OL * MDEV) and financially constrained firms (coefficients of FC * BDEV and FC * MDEV) show higher SOA (Drobetz & Wanzenried, 2006; Flannery & Rangan, 2006). We observe that firm SOA is higher when economic fundamentals are better (Cook & Tang, 2010).

3.3. Robustness Test

In our robustness tests, we use the random forest estimation (RFE) technique to estimate Equation (2) and to use the predicted target leverage for finding the impact of fundamental risk on SOA using Equations (6) and (7). (Graham & Leary, 2011) suggest that standard variables used to determine capital structure may have non-linear relations with dependent variables. Nevertheless, few empirical tests explicitly model these nonlinearities when predicting target leverage or quantifying a determinant’s importance. This is particularly appealing because accurately predicting unobservable leverage targets is essential for estimating leverage adjustment speed and accurately investigating factors affecting adjustment speed. Furthermore, leverage adjustments are discrete, infrequent, and large, posing significant challenges in assessing the targets. In recent years, machine learning techniques like RFE have been successfully used for accommodating non-linear functional relationships among estimators (Amini et al., 2021; Smith, 2022). Table 8 presents our estimation results.
Consistent with our main results, in Panels (A) and (B) of Table 8, we observe significant positive coefficients for Frisk * BDEV (Coef. = 0.1636, t = 37.06) and Frisk * MDEV (Coef. = 0.1093, t = 24.33) interaction terms. In terms of its economic significance, it means a one standard deviation increase in frisk increases the SOA of book leverage by 16.03% (=0.1636 ×.50/0.51) (using Equation (8)), and a one standard deviation increase in frisk increases the SOA of market leverage by 8.41% (=0.1093 * 0.50/0.62) (using Equation (8)). Furthermore, unlike our main results, in Panel (B), we observe a positive and significant effect on market capacity (MC). In line with the dynamic trade-off theory of capital structure, our results further support the view that a better country-specific institutional framework and lower fundamental risk can influence leverage adjustment speed favourably (Belkhir et al., 2016; Öztekin & Flannery, 2012). Furthermore, we conduct additional robustness tests by excluding countries with more significant firm-level observations (i.e., China, India, Japan, South Korea, USA) to confirm that our results are not biased due to a larger sample of selected countries. For brevity, we have not shown the results. Our results remain consistent with that sample, too.

3.4. Robustness to Unobserved Macroeconomic Forces

A central concern in our analysis is the potential for our findings to be confounded by unobserved macroeconomic forces. The period under study, which encompasses the global financial crisis (GFC) and the Eurozone sovereign-debt crisis, presents a significant identification challenge. These crises gave rise to several channels that could simultaneously affect both a firm’s capital structure adjustment speed and a country’s risk proxies, thus introducing endogeneity.
As highlighted in the literature, these macroeconomic shocks elicited significant fiscal and monetary policy responses, affecting bank credit and corporate deleveraging (Dantas et al., 2023; Silva & Volkova, 2018). The elevated policy uncertainty that followed the crises also influenced corporate real investment decisions and, by extension, the risk and composition of firms’ capital structures (Campello et al., 2021). Furthermore, the period saw a rise in geopolitical uncertainty and populism (Gyöngyösi & Verner, 2022), which has been shown to affect the real economy and ultimately spill over into firms’ financing decisions (Funke et al., 2023).
To address these concerns, we perform a robustness test using the bounding analysis developed by (Oster, 2019) and used by (Dantas et al., 2023). This approach allows us to formally assess the degree to which unobserved confounders would affect our results. We compare our baseline regression with an augmented model that explicitly controls for the macroeconomic channels discussed above. Specifically, the augmented model includes a dummy variable for the GFC (2008–2009) and another for the Eurozone sovereign-debt crisis (2010–2012). We also include proxies for broader uncertainty (Silva & Volkova, 2018), using the economic policy uncertainty (EPU) index (S. R. Baker et al., 2016; Davis, 2016) and the geopolitical risk (GPR) index (Caldara & Iacoviello, 2022).
The results in Table 9 show that our coefficient of interest remains consistent across these specifications. The bounding analysis confirms that, for our key finding to be invalidated, the unobserved variables would need to have a selection effect significantly stronger than the comprehensive set of macroeconomic controls we have included. This provides strong evidence for our main conclusion that country fundamental risk is a significant determinant of a firm’s capital structure adjustment speed, not a spurious result driven by omitted macroeconomic factors.
Table 9 reports the bounding values for the fundamental risk coefficient estimate (coefficient of Frisk * BDEV) following the methodology proposed by Oster (2019). Following Oster (2019), we assume that selection on unobservables is proportional to selection on observables. The bounding value of the estimate (β*) is defined as β = β ˜ β ˙ β ˜ R 2   Max   R ˜ 2   ( R ˜ 2 R ˙ 2 )   , where β ˙ and R ˙ 2 is, respectively, the point estimate and R-squared for the base model (Table 3), and β ˙ and R ˜ 2 are the analogue values from the regression with all controls (GFC dummy, Eurozone crisis dummy, EPU index, and GPU index). The method assumes that the degree of proportionality between selection on unobservables and selection on observables is one (δ = 1), which entails assuming the maximum possible R2 of the regression. We follow the calibration proposed by (Oster, 2019), which sets R2 max = min (1, Π × R2) and Π = 1.3 as our benchmark. As in (Gyöngyösi & Verner, 2022), we also consider the conservative value of Π = 2.0 for robustness purposes.

4. Discussion

This study provides the first empirical evidence on how countries’ fundamental risk profiles influence the speed of adjustment (SOA) towards firms’ target capital structures. Consistent with dynamic trade-off theory, this study finds that firms operating in countries with lower fundamental risk adjust their leverage more rapidly. A one standard deviation improvement in the composite frisk index leads to a 12.8% faster SOA for book leverage and a 4.8% faster SOA for market leverage. Analyses of the individual risk dimensions reveal that enhanced operational efficiency, greater foreign accessibility, improved corporate transparency, and higher political stability contribute significantly to accelerating the pace of leverage rebalancing.
Our findings expand previous research on country-level determinants of capital structure dynamics by incorporating a comprehensive measure of fundamental risk. While (Öztekin & Flannery, 2012) and (Çam & Özer, 2021) demonstrate that legal systems, financial market development, macroeconomic uncertainty and institutional quality affect leverage adjustment and capital structure, respectively, our results underscore the integrative impact of multifaceted institutional attributes captured by the Frisk index. Specifically, the strong positive association between operational efficiency and SOA corroborates (Belkhir et al., 2016), who show that trading-system efficiencies lower transaction costs and facilitate financing. Likewise, our evidence on the roles of foreign accessibility and corporate transparency resonates with (An et al., 2021) and (Goodell & Goyal, 2018), highlighting the importance of cross-border capital flows and information disclosure in reducing agency conflicts.
The magnitudes of the coefficients suggest economically meaningful effects: firms in lower-risk countries can fine-tune their capital structures more nimbly, potentially lowering the costs of external financing and optimising debt–equity mixes in response to investment opportunities. For policymakers, our study emphasises the urgency of institutional reforms that enhance market capacity, streamline trading infrastructures, and bolster governance standards. Regulators can directly influence corporate financial behaviour and economic growth by mitigating operational friction and improving investor protection.
The robustness tests, incorporating random forest estimation (RFE) to predict unobservable leverage targets, confirm the baseline results, suggesting that non-linearities in the target estimation stage do not attenuate the fundamental risk effects. This methodological extension advances the literature by showing that machine learning-based target estimation can coexist with traditional partial-adjustment frameworks, yielding consistent policy-relevant insights.
Based on our empirical results, we find that, among the five dimensions of country fundamental risk, operational efficiency (OE), corporate transparency (CT), and political stability (PS) are the most influential in determining the speed of adjustment (SOA) towards target capital structure. These dimensions exhibit strong statistical and economic significance. They indicate that firms operating in environments with efficient trading systems, transparent governance, and stable political institutions face lower capital adjustment costs and can converge more rapidly on their desired capital structures. In contrast, foreign accessibility (FA) shows a notable economic impact, albeit lacking statistical significance, suggesting that capital openness still matters but may be mediated by other institutional factors. However, market capacity (MC) does not exhibit a statistically or economically significant effect on SOA in our context.
These findings have important policy implications. Policymakers aiming to support firms in achieving optimal capital structures should prioritise improvements in trading infrastructure, corporate governance practices, and institutional stability. These reforms can directly reduce friction and transaction costs in capital markets, thereby enhancing firms’ financial flexibility and speed of capital structure adjustment.
While extending the existing literature in the context of the impact of institutional environments on corporate finance decisions, our findings also support the trade-off theory of capital structure. The findings indicate that international differences in country-specific fundamental risk affect the cost of adjustment and, therefore, the speed with which corporations move towards their target capital structure in a partial-adjustment process.

5. Conclusions, Limitations, and Directions for Future Research

By demonstrating that lower fundamental risk environments expedite firms’ convergence on their optimal leverage ratios, our study contributes to a nuanced understanding of how institutional quality shapes corporate financing behaviour. Strengthening the building blocks of capital markets, i.e., transactional infrastructure, regulatory transparency, and political stability, can thus serve as levers for fostering more resilient and efficient corporate finance systems worldwide.
Although our analysis covers a large cross-country sample over 15 years, several limitations warrant caution. First, our reliance on the (Karolyi, 2015) fundamental risk data constrains the sample to 2000–2015 and may not capture more recent institutional shifts. Second, while the frisk index aggregates diverse dimensions, the potential for measurement errors in each component could bias estimates; future research could explore instrumental variables or high-frequency proxies. Third, we focus on non-financial firms; extending the framework to financial institutions or hybrid entities may reveal different dynamics. Fourth, we recognise that our study centers on the impact of fundamental risk on the speed of adjustment (SOA) towards target capital structure. It does not explicitly estimate how these risk dimensions shape the target capital structure. While prior research, such as (Çam & Özer, 2021), has already provided valuable insights into how institutional quality affects leverage and debt maturity, future studies could expand our findings by jointly examining how fundamental risk dimensions influence target levels and the dynamic path towards them. Finally, subsequent studies could investigate endogenous interactions between firm-level governance mechanisms and country risk to unpack micro–macro linkages more deeply.

Author Contributions

Conceptualization: D.R., J.M. and L.M.R.A.; methodology: D.R. and J.M.; writing—original draft preparation: D.R.; writing—review and editing, D.R. and L.M.R.A. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The firm-level financial data used in this study were obtained from the Thomson Reuters Eikon database. Country fundamental risk measures (Karolyi, 2015) were sourced from G. Andrew Karolyi’s “Cracking the emerging markets enigma” dataset, accessible upon direct request to G. Andrew Karolyi. Macroeconomic indicators (GDP growth, inflation) were retrieved from the World Bank’s open data portal (https://data.worldbank.org)(accessed on 10th march 2025). Researchers interested in replicating or extending our analysis may obtain these datasets and derive the frisk index using the principal component methodology described; supplementary code and panel data outputs are available from the corresponding authors upon reasonable request.

Acknowledgments

We want to express our sincere thanks to G. Andrew Karolyi from Cornell University, who made this research possible by providing the fundamental risk indicators data. The infrastructural support provided by Birla Global University, Bhubaneswar, in completing this paper is gratefully acknowledged too.

Conflicts of Interest

The authors declare no conflicts of interest.

Appendix A

Table A1. Summary of empirical studies on factors affecting capital structure adjustment speed.
Table A1. Summary of empirical studies on factors affecting capital structure adjustment speed.
AuthorMain Factors ExaminedEffect on SOASample/ContextMethodology
(Liu et al., 2024)Supplier concentration, bargaining power, agency costsHigher supplier concentration increases SOA, especially for over-leveraged firms and those with more bargaining power.Chinese A-share firms, 2012–2019Panel regression
(Lemma & Negash, 2014)Profitability, firm size, growth opportunities, macro/industry/institutional factorsProfitability increases SOA; size, growth, and macro/industry/institutional factors also relevant.986 firms, 9 African countries, 1999–2008System GMM
(Alnori & Alqahtani, 2019)Sharia complianceSharia-compliant firms have slower SOA due to financing restrictions.Saudi non-financial firms, 2005–2016Panel regression
(Baum et al., 2017)Firm-specific risk, macroeconomic risk, leverage, financial statusSOA is asymmetric: faster for over-leveraged firms with low firm risk/high macro risk; risk factors are critical.International sampleDynamic panel models
Q. Zhou et al. (2016) Cost of equity sensitivity to leverage deviationHigher sensitivity leads to faster SOA.International samplePanel regression
(Liao et al., 2024)Non-controlling large shareholders (NCLSs), agency costs, financing constraintsNCLSs increase SOA, especially in non-state firms; reduce agency costs and constraints.Chinese A-share firms, 2010–2020Panel regression
(Wang et al., 2021)Positive tone in MD&A disclosureTrue positive tone increases SOA.Chinese listed firmsTextual analysis, panel regression
(Z. Zhou & Wu, 2023)Climate risk exposure, climate governance, policy qualityHigher climate risk exposure increases SOA, especially with strong governance and policy.35 countries, 2001–2021Two-step partial adjustment model
(Touil & Mamoghli, 2020)Institutional quality, profitability, non-debt tax savings, growth, size, volatility, political stabilityGood institutions reinforce profitability’s effect on SOA, moderate others; political stability indirectly helps.506 MENA firms, 2006–2014Panel regression
(Cook & Tang, 2010)Macroeconomic states, financial constraintsSOA is faster in good macro states, regardless of constraints.US firmsDynamic partial adjustment models
(Albanez & Schiozer, 2021)Debt covenants, creditor rights, cross-listingCovenants increase SOA in poor creditor rights environments; effect smaller for cross-listed firms.Brazilian firmsPanel regression
(Memon et al., 2020)Firm size, profitability, stock market development, GDPAll increase SOA; adjustment period 1.45–2.25 years.Pakistani non-financial firms, 2003–2012Difference GMM
(R. Zhou & Li, 2024)Fintech, information asymmetry, agency costs, competitionFintech accelerates SOA via transparency, constraint alleviation, competition; effect stronger with low agency costs.Chinese listed firmsPanel regression
(Devos et al., 2017)Debt covenants (capital vs. performance), financial constraintsCovenants lower SOA, especially strict capital covenants and for over-levered/constrained firms.US firmsPanel regression
(Su & Zheng, 2024)Firm size, information asymmetry, law enforcementSMEs adjust more slowly due to info asymmetry; law enforcement accelerates SOA.Chinese SMEs, 2011–2021Panel regression
(Warmana et al., 2020)Growth potential, profitability, size, leverage deviation, short-term loan, asset maturity, GDP growth, inflationAll significant; SOA faster in Indonesia than developed countries.Indonesian manufacturing firmsPartial adjustment model
(Öztekin & Flannery, 2012)Legal/financial traditions, institutional featuresBetter institutions increase SOA by lowering transaction costs.Cross-country samplePanel regression
(Çolak et al., 2018)Uncertainty, institutional quality, political systemHigh uncertainty slows SOA; strong institutions/presidential systems offset effect.Global samplePanel regression
(Adeneye et al., 2022)ESG score (environmental, social, governance)Higher ESG increases SOA, especially the environmental pillar.116 ASEAN firms, 2012–2019OLS, system-GMM
(Huang & Ritter, 2009)Cost of equity, historical financing decisionsFirms adjust at moderate SOA; cost of equity influences adjustment.US firmsPanel regression, new econometric technique
(Naveed et al., 2015)Past leverage, convergence rate, cost of being off-targetSOA is subject to a trade-off; pecking order pattern observed.Pakistani firmsTwo-step GMM, sensitivity analysis
(Oino & Ukaegbu, 2015)Profitability, asset structure, size, non-debt tax shieldProfitability/asset structure negatively, size/NDTS positively related to leverage; high SOA (47%).Nigerian non-financial firmsPool OLS, GMM
(He & Kyaw, 2021) Macroeconomic conditions, financial constraints, size, leverage deviationSOA is faster in high growth states, for unconstrained/large/near-target firms.Chinese firmsDynamic partial adjustment models
(Ho et al., 2021)Corporate sustainability performance (CSP), info asymmetry, stakeholder engagementBetter CSP increases SOA, especially where institutions are weaker.31 countries, 2002–2018Panel regression
(Cho et al., 2021)Managerial ability, firm age/size, transaction costsMore capable managers slow SOA, especially in young/small firms.International samplePanel regression
(Aybar-Arias et al., 2012)Financial flexibility, growth, size, distance to optimal ratioFlexibility, growth, size increase SOA; distance to optimal ratio decreases SOA.Spanish SMEs, 1995–2005System GMM
(Daskalakis et al., 2017)Macroeconomic states, firm-specific variables, debt maturitySOA for long-term debt slows in crisis; determinants differ by debt maturity.SMEs, global financial crisisPartial adjustment model
(Öztekin, 2013)Size, tangibility, industry leverage, profits, inflation, institutional qualityAll are reliable determinants; high-quality institutions increase SOA.37 countriesPanel regression
(Gustyana, 2023)Distance, financial deficit/surplusNo significant effect on SOA in the health sector.Indonesian health sectorGMM
(Zou & Bai, 2022)Dividend policy, financing strategyLower dividends increase SOA; high dividends slow SOA.Chinese firmsDynamic adjustment model
(Morais et al., 2022)Leverage status, financial system, macro conditions, constraints, flexibilityLeveraged firms have higher SOA; crisis and constraints affect SOA.European listed firms, 1995–2016Dynamic panel fractional estimator
(Ezeani et al., 2021)Board characteristics, governance, country systemBoard characteristics influence SOA; effect varies by country.Japanese, French, German firmsPanel regression
(Abdullah et al., 2023)Profitability, growth, size, tangibility, NDTS, liquidity, financial distressAll impact SOA; weak financial position slows SOA.Indian steel firmsGMM, Altman Z-score
(Drobetz & Wanzenried, 2006)Growth, distance to target, business cycle variablesGrowth and distance increase SOA; higher term spread and good prospects increase SOA.Swiss firms, 1991–2001Dynamic adjustment model
(Botta & Colombo, 2022)Firm, macro, institutional factors, market timing, pecking orderInteractions explain SOA heterogeneity; non-linear dynamics.52 countriesPanel regression
(Pan et al., 2022)Supply chain finance, firm size, region, bank connections, competitionSCF speeds up SOA, especially for under-leveraged, small, dynamic firms.Chinese listed firmsPanel regression
(Sunitha, 2024)Country/firms characteristics, trade-off/pecking order/market timingSOA varies by country/firms; trade-off theory best explains SOA.GCC countriesPartial adjustment model
(Haron et al., 2013)Distance from target, size, profitabilityDistance, size, and profitability increase SOA; under-adjustment observed.Malaysian non-financial firmsDynamic partial adjustment model
(Kang et al., 2018)Market imperfections, macro conditions, GDP growthWorse imperfections slow SOA; SOA is procyclical with GDP growth.Cross-country sampleBootstrapping, panel regression
(Dufour et al., 2017)Cash flow, transaction costs, leverage statusPositive cash flow increases SOA for over-levered SMEs.French SMEs, 2005–2014Two-step model
(Buvanendra et al., 2017)Firm-specific, governance, country differencesDeterminants differ by country; both types matter.Sri Lanka & India listed firmsDynamic adjustment model
(Botta, 2024)National culture, firm/macroeconomic factors, agency costsCulture affects SOA directly/indirectly; conformity increases SOA, individualism decreases.International sampleDynamic panel data
(Miloud, 2022)Corporate governance quality, leverage deviationStrong governance increases SOA, especially for extreme deviations.French listed firmsPanel regression
(Rawal et al., 2024a)Oil price Uncertainty, Firm financial conditionOPU increase the SOA of over levered firm and reduces the SOA of under levered firmInternational data from 44 countryTwo stage partial adjustment model
(Rawal et al., 2024b)Bankruptcy code, Firm financial conditionIBC have improved the SOA of Indian firm and the impact is stronger for over levered firmIndiaTwo stage partial adjustment model
Note: Appendix A reports a comprehensive literature-review summary of the main factors, their effects on the speed of capital structure adjustment, and methodology used as reported in the empirical literature.

Note

1
Recent policy discussions suggest that corporate debt as a share of GDP increased significantly, in developed and emerging countries (Furceri et al., 2022). IMF reports 2015 suggest that due to the relative contributions of the firm- and country-specific characteristics, the corporate debt levels of nonfinancial firms in emerging economies have risen and quadrupled between 2004 and 2014. Moreover, total nonfinancial corporate debt (level and size) relative to GDP has increased since 2010 and has persistent in recent times (https://deloitte.wsj.com/cfo/is-rising-corporate-debt-a-problem-01629914216) (accessed on 10 March 2025).

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Table 1. Sample distribution, mean value of book and market leverage, and the mean value of the index of different dimensions of fundamental risk across countries.
Table 1. Sample distribution, mean value of book and market leverage, and the mean value of the index of different dimensions of fundamental risk across countries.
Country Name No of FirmsNo. of Observation Book LeverageMarket LeverageMarket CapacityOperational
Efficiency
Foreign
Accessibility
Corporate
Transparency
Political
Stability
Fundamental Risk
Austria435730.330.30−0.340.270.95−0.051.110.74
Belgium756290.350.31−0.210.521.13−0.031.041.09
Brazil11311350.350.38−0.40−0.24−0.960.37−0.39−0.71
Canada48846390.240.201.491.080.401.802.983.04
Chile8810870.280.34−0.12−1.960.150.380.39−0.36
China266622,1650.290.17−0.05−0.45−1.64−0.85−1.51−2.22
Colombia161200.180.14−0.79−0.98−0.98−1.99−2.70−2.16
Denmark617620.290.251.050.970.630.181.461.95
Egypt897880.230.21−0.73−1.150.15−0.27−1.58−2.01
Finland8710310.320.280.121.280.271.041.501.82
France24930390.330.270.121.080.981.420.431.64
Germany35040890.290.24−0.130.940.450.701.041.26
Greece10113190.370.43−0.120.600.86−1.38−0.21−0.64
Hong Kong70980030.210.264.350.340.440.721.113.69
Hungary111210.270.26−0.710.590.39−0.090.09−0.30
India159013,2820.340.34−0.580.01−1.86−1.04−0.86−1.62
Indonesia31532480.320.30−0.990.06−0.79−0.80−0.921.63
Ireland413950.330.210.201.102.001.261.102.84
Israel24323020.400.370.40−0.510.080.060.350.80
Italy12813890.390.34−0.12−0.500.930.26−0.150.46
Japan264033,2840.290.301.60−0.910.54−0.870.550.64
S. Korea150416,5360.280.310.670.02−0.16−1.890.02−0.43
Malaysia59574610.230.260.58−0.48−1.480.77−0.290.35
Mexico839550.300.27−0.98−0.24−0.270.75−0.75−0.99
Netherlands607490.370.290.50−0.221.700.971.371.70
New
Zealand
686910.260.19−0.110.290.121.091.231.97
Norway767930.370.34−0.100.430.790.881.291.51
Peru516390.280.46−1.00−1.050.99−0.21−0.76−1.05
Philippines15111820.220.21−0.23−0.42−1.03−0.85−0.92−2.09
Poland28618010.220.20−0.640.23−1.20−0.120.19−0.59
Portugal192550.520.45−0.080.780.83−0.530.470.52
Russia764440.380.35−0.800.28−0.57−1.28−1.14−1.73
Saudi
Arabia
1079680.230.15−0.60−0.46−0.26−0.06−1.27−1.22
Singapore34737780.250.271.220.770.160.840.722.36
South
Africa
12915350.270.210.61−0.11−0.401.36−0.201.01
Spain838170.420.311.090.480.890.970.371.51
Sweden29125040.250.210.491.110.901.021.3420.12
Switzerland13117120.270.221.200.810.790.671.451.81
Thailand44647580.270.25−0.020.34−1.35−0.73−0.98−1.03
Turkey23824050.250.21−0.73−1.61−0.44−1.22−0.66−2.11
UAE473300.240.25−0.61−1.11−0.500.36−0.06−1.07
UK53257290.240.190.971.800.951.580.753.22
USA158218,1270.240.171.422.140.111.210.492.87
Total17,747184,792
Note: Table 1 presents the distribution of firms across countries in our sample. It also presents the mean value of book and market leverage and the mean index value of different dimensions of fundamental risk in each country for the entire sample period.
Table 2. Variable definitions.
Table 2. Variable definitions.
VariableVariable DescriptionVariable Measurement
>BLEV>Book leverage>Total debt/(total debt + book value of equity)
>MLEV>Market leverage>Total debt/(total debt + market value of equity)
BDEV>Book leverage deviation>Deviation of book leverage from the target book leverage
MDEV>Market leverage deviation>Deviation of market leverage from target market leverage
PROF>Profitability>Ratio of operating income before depreciation to total assets
TANG>Tangibility>Ratio of net property, plant, and equipment to total assets
MTB>Market-to-Book>Ratio of total assets minus book equity plus market capitalisation to total assets
SIZE>Size>Natural logarithm of total assets
BLEV_IND>Industry book leverage>Median book leverage ratio by country, industry, and year
MLEV_IND>Industry market leverage>Median book leverage ratio by country, industry, and year
RDEXPR&D expense>Ratio of R&D expenses to total assets, where missing R&D values are equal to zero
RD_DUM>R&D dummy>Dummy variable equals one if R&D expenses are not reported; otherwise, it is zero
DEP>Depreciation >Captures non-debt tax shields measured by depreciation and amortisation divided by the book value of total assets
>OL>Over leveraged >Dummy variable equals one if the observed leverage ratio is higher than the target leverage; otherwise, it is zero
FCFinancial constraint >Dummy variable equals one if the cash flow from the operation is negative; otherwise, it is zero
>GDPG>GDP growth>Rate of change in the gross domestic product (annual%)
>INF>Inflation>Rate of inflation
>MC>High market capacity>Dummy variable equals one if the observed score in the market capacity index is higher than the median score in that year for the sample; otherwise, it is zero
>OE>High operational efficiency>The dummy variable equals one if the observed score in the Operational Efficiency index is higher than the median score in that year for the sample; otherwise, it is zero.
>FA>High foreign accessibility>The dummy variable equals one if the observed score in the foreign accessibility index is higher than the median score in that year for the sample; otherwise, it is zero
>CT>High corporate transparency>The dummy variable equals one if the observed corporate transparency index score is higher than the sample median score in that year; otherwise, it is zero
>PS>High political stability>Dummy variable equals one if the observed score in the political stability index is higher than the median score in that year for the sample; otherwise, it is zero
>Frisk>Low fundamental risk>Dummy variable equals one if the observed score in the fundamental risk index is higher than the median score in that year for the sample; otherwise, it is zero (Higher value in the index means lower risk)
Note: Table 2 presents the description and measurement of the variable used in our study. Among the above variables, size (SIZE), tangibility (TANG), market-to-book ratio (MTB), profitability (PROF), depreciation (DEP), R&D expense (RDEXP), R&D dummy (RD_DUM), industry book leverage (BLEV_IND), and industry market leverage (MLEV_IND) are used for target leverage estimation. Overleveraged (OL), financial constraint (FC), GDP growth (GDPG), and inflation (INF) are used as control variables for speed of adjustment.
Table 3. Descriptive Statistics.
Table 3. Descriptive Statistics.
VariablesMeanStd DevMinimumMaximum
BLEV0.280.23200.85
MLEV0.260.24900.90
BDEV0.010.112−0.8470.733
MDEV0.010.122−0.8960.814
PROF0.080.112−0.4960.369
TANG0.350.2380.0010.936
MTB1.681.690.37512.33
SIZE19.231.9514.7824.41
BLEV_IND0.260.1501
MLEV_IND0.230.1801
RDEXP0.010.074−0.1311.84
RD_DUM0.270.4501
DEP0.030.030.00010.1458
OL0.440.49701
FC0.200.40201
GDPG3.713.44−10.1425.17
INF2.552.92−4.4744.96
MC0.470.4901
OE0.480.5001
FA0.450.5001
CT0.470.4901
PS0.440.5001
Frisk0.400.4901
Note: Table 3 reports descriptive statistics of the variables used in our study.
Table 4. Correlation Matrix.
Table 4. Correlation Matrix.
Variables(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)
(1) BLEV1.000
(2) MLEV0.8001.000
(3) PROF−0.005−0.0741.000
(4) DEP0.0680.0160.2461.000
(5) TANG0.0430.0590.0270.1891.000
(6) MTB−0.170−0.3790.0440.015−0.0241.000
(7) SIZE0.2960.2020.2420.020−0.050−0.1091.000
(8) BLEV_IND0.5130.4530.1000.017−0.007−0.1670.2471.000
(9) MLEV_IND0.4170.5710.026−0.0270.012−0.3150.1560.7881.000
(10) RD−0.107−0.114−0.2910.0180.0360.130−0.099−0.162−0.1411.000
(11) RD_DUM−0.109−0.113−0.1130.027−0.0060.0730.058−0.192−0.1500.2801.000
Note: Table 4 presents the variables’ correlation coefficients used for target leverage estimation.
Table 5. Average SOA of firms across different dimensions of country fundamental risk.
Table 5. Average SOA of firms across different dimensions of country fundamental risk.
Risk DimensionGroupAvg. SOA Significant Difference (High vs. Low)
Fundamental riskHigh38%−7% ***
Low45%
Market capacityHigh41%1% *
Low40%
Operational efficiencyHigh44%7% ***
Low37%
Foreign accessibilityHigh41%0%
Low41%
Corporate transparencyHigh44%6% ***
Low38%
Political stabilityHigh43%3% ***
Low40%
Note: Table 5 reports the average speed of capital structure adjustments (SOA) for firms operating in countries classified as high- or low-risk based on fivedimensions of national risk. SOA is estimated separately for each group using Equation (3). The last column reports the difference in SOA between high- and low-risk groups, with statistical significance denoted as ***, and * indicating statistical significance at the 1%, and 10% levels, respectively.
Table 6. Fundamental Risk and the Speed of Adjustment of Book Leverage.
Table 6. Fundamental Risk and the Speed of Adjustment of Book Leverage.
(1)(2)(3)(4)(5)(6)
BDEV0.2942 ***
(35.51)
0.2904 ***
(34.64)
0.3263 ***
(40.20)
0.2923 ***
(45.03)
0.3102 ***
(48.63)
0.3422 ***
(35.90)
Frisk * BDEV0.0742 ***
(10.49)
OE * BDEV 0.0734 ***
(12.46)
FA * BDEV 0.0187 **
(2.41)
CT * BDEV 0.0727 ***
(10.05)
PS * BDEV 0.0449 ***
(6.85)
MC * BDEV 0.0034
(0.44)
FC * BDEV0.0680 ***
(8.27)
0.0655 ***
(7.93)
0.0709 ***
(8.92)
0.0682 ***
(8.79)
0.0693 ***
(8.74)
0.0714 ***
(9.22)
OL * BDEV0.0700 ***
(6.88)
0.0715 ***
(6.92)
0.0733 ***
(9.18)
0.0703 ***
(8.97)
0.0715 ***
(8.12)
0.0740 ***
(9.28)
GDPG * BDEV0.0039 ***
(4.01)
0.0034 ***
(3.61)
0.0013 *
(1.69)
0.0035 ***
(3.43)
0.0026 ***
(2.39)
0.0001
(0.17)
INF * BDEV0.0050 ***
(4.93)
0.004 ***
(4.30)
0.0046 ***
(3.85)
0.0045 ***
(5.30)
0.0051 ***
(4.78)
0.0036 ***
(3.69)
Constant0.0026
(0.84)
0.0029
(1.18)
0.0029
(0.99)
0.0026
(0.86)
0.0027
(1.02)
0.0029
(0.96)
Country FEYesYesYesYesYesYes
Industry FEYesYesYesYesYesYes
Year FEYesYesYesYesYesYes
Adj. R 2 0.22470.2250.2240.2250.2240.22
N 184,792184,792184,792184,792184,792184,792
Notes: Table 6 reports the regression results of Equation (6), which measures the impact of country fundamental risk (frisk) on SOA to target book leverage. It also reports the impact of individual dimensions of countries’ fundamental risk, such as the impact of OE, FA, CT, PS, and MC on SOA to target book leverage. The sample represents 17,747 companies from 44 countries (Table 1) from 2000 to 2015. Numbers in parentheses are t-statistics. ***, **, and * indicate statistical significance at the 1%, 5%, and 10% levels, respectively.
Table 7. Fundamental Risk and the Speed of Adjustment of Market Leverage.
Table 7. Fundamental Risk and the Speed of Adjustment of Market Leverage.
(1)(2)(3)(4)(5)(6)
MDEV0.3396 ***
(47.60)
0.3432 ***
(50.98)
0.3474 ***
(36.45)
0.3482 ***
(51.74)
0.3500 ***
(57.12)
0.3658 ***
(35.77)
Frisk MDEV0.0318 ***
(5.41)
OE * MDEV 0.0221 ***
(4.07)
FA * MDEV 0.0126 *
(1.66)
CT * MDEV 0.0145 **
(2.26)
PS * MDEV 0.0114 *
(1.63)
MC * MDEV 0.0112
(1.46)
FC * MDEV0.0269 ***
(3.45)
0.0267 ***
(4.48)
0.0278 ***
(3.91)
0.0275 ***
(4.02)
0.0276 ***
(3.94)
0.0284 ***
(3.88)
OL * MDEV0.1145 ***
(14.20)
0.1151 ***
(12.74)
0.1171 ***
(16.26)
0.1152 ***
(13.10)
0.1151 ***
(15.40)
0.1156 ***
(11.97)
GDPG * MDEV0.0059 ***
(5.93)
0.0054 ***
(5.27)
0.0053 ***
(4.45)
0.0052 ***
(6.15)
0.0052 ***
(4.52)
0.0042 ***
(5.03)
INF * MDEV0.0135 ***
(14.56)
0.0132 ***
(12.15)
0.0135 ***
(11.08)
0.0131 ***
(13.85)
0.0132 ***
(10.08)
0.0122 ***
(9.17)
Constant0.0087 ***
(3.21)
0.0088 ***
(3.16)
0.0088 ***
(3.44)
0.0088 ***
(2.74)
0.0088 ***
(3.81)
0.0088 ***
(2.93)
Country FEYesYesYesYesYesYes
Industry FEYesYesYesYesYesYes
Year FEYesYesYesYesYesYes
Adj. R 2 0.3314 0.3317 0.3312 0.3312 0.3312 0.3312
N 184,792 184,792 184,792 184,792 184,792 184,792
Notes: Table 7 reports the regression results of Equation (7), which measures the impact of country fundamental risk (frisk) on SOA to target market leverage. It also reports the impact of individual dimensions of countries’ fundamental risk, such as the impact of OE, FA, CT, PS, and MC on SOA to target market leverage. The sample represents 17,747 companies from 44 countries (Table 1) from 2000 to 2015. Numbers in parentheses are t-statistics. ***, **, and * indicate statistical significance at the 1%, 5%, and 10% levels, respectively.
Table 8. Random Forest Estimation: Fundamental Risk and Speed of Adjustment.
Table 8. Random Forest Estimation: Fundamental Risk and Speed of Adjustment.
Panel   ( A ) :   Dependent   Variable :   Δ B L E V I , t + 1 , j
(1)(2)(3)(4)(5)(6)
BDEV0.517 4 ***
(89.29)
0.5082 ***
(75.87)
0.6153 ***
(102.80)
0.5040 ***
(71.72)
0.5665 ***
(77.58)
0.6466 ***
(72.30)
Frisk * BDEV0.1636 ***
(37.06)
OE * BDEV 0.1676 ***
(29.25)
FA * BDEV 0.0088 *
(1.66)
CT * BDEV 0.1776 ***
(29.89)
PS * BDEV 0.0761 ***
(11.63)
MC * BDEV 0.0113
(1.47)
FC * BDEV0.1339 ***
(28.80)
0.1267 ***
(19.21)
0.1449 ***
(22.33)
0.1337 ***
(23.03)
0.1412 ***
(25.62)
0.1463 ***
(22.93)
OL * BDEV0.1837 ***
(22.99)
0.1821 ***
(19.33)
0.1798 ***
(20.24)
0.1832 ***
(18.39)
0.1830 ***
(23.68)
0.1775 ***
(17.91)
GDPG * BDEV0.0132 ***
(15.73)
0.0122 ***
(16.23)
0.0061 ***
(8.12)
0.0129 ***
(18.04)
0.0095 ***
(10.72)
0.0044 ***
(4.64)
Inf * BDEV0.0070 ***
(8.12)
0.0061 ***
(6.69)
0.0048 ***
(6.29)
0.0061 ***
(8.31)
0.0069 ***
(8.97)
0.0031 ***
(3.34)
Constant−0.0059 ***
(−2.71)
−0.0055 ***
(−2.82)
−0.0057 ***
(−3.39)
−0.0058 ***
(−3.60)
−0.005 ***
(−3.26)
−0.005 ***
(−3.08)
Country FEYesYesYesYesYesYes
Industry FEYesYesYesYesYesYes
Adj. R 2 0.630.630.620.630.630.62
N 184,792184,792184,792184,792184,792184,792
Panel (B): Dependent Variable:  Δ M L E V I , t + 1 , j
MDEV 0.6284 ***
(115.04)
0.6278 ***
(123.04)
0.6968 ***
(108.62)
0.6208 ***
(131.78)
0.6733 ***
(110.65)
0.7172 ***
(104.23)
Frisk * MDEV 0.1093 ***
(24.33)
OE * MDEV 0.0977 ***
(23.41)
FA * MDEV 0.0281 *
(1.61)
CT * MDEV 0.1141 ***
(24.23)
PS * MDEV 0.0240 ***
(5.20)
MC * MDEV 0.0351 ***
(5.95)
FC * MDEV 0.0595 ***
(11.72)
0.0567 ***
(9.96)
0.0654 ***
(14.23)
0.0591 ***
(11.05)
0.0643 ***
(12.50)
0.0665 ***
(14.09)
OL * MDEV 0.1710 ***
(22.57)
0.1714 ***
(23.72)
0.1715 ***
(23.56)
0.1697 ***
(21.85)
0.1712 ***
(23.74)
0.1701 ***
(24.54)
GDPG * MDEV 0.0147 ***
(29.83)
0.0136 ***
(25.40)
0.0104 ***
(14.36)
0.0143 ***
(27.00)
0.0119 ***
(19.43)
0.0093 ***
(18.35)
Inf * MDEV0.0150 ***
(21.09)
0.0143 ***
(21.07)
0.0117 ***
(15.13)
0.0145 ***
(20.11)
0.0133 ***
(15.94)
0.0102 ***
(11.42)
Constant −0.0043 ***
(−3.19)
−0.004 ***
(−2.50)
−0.0042 **
(−2.41)
−0.0042 **
(−2.40)
−0.004 **
(−2.07)
−0.004 ***
(−2.32)
Country FEYesYesYesYesYesYes
Industry FEYesYesYesYesYesYes
Adj. R 2 0.700.700.700.700.700.70
N 184,792184,792184,792184,792184,792184,792
Notes: Table 8 presents the robustness of our results. Here, the target leverage is estimated using the random forest technique by estimating Equation (2). Panel A of Table 8 reports the regression results of Equation (6), which measures the impact of country fundamental risk on SOA to target book leverage, and Panel B reports the results of Equation (7), which measures the impact of country fundamental risk on SOA to target market leverage. It also reports the impact of individual dimensions of countries’ fundamental risk, such as the impact of OE, FA, CT, PS, and MC on SOA to target book and market leverage. The sample represents 17,747 companies from 44 countries (Table 2) from 2000 to 2015. Numbers in parentheses are t-statistics. ***, **, and * indicate statistical significance at the 1%, 5%, and 10% levels, respectively.
Table 9. Bounding Analysis of the Fundamental Risk Coefficient.
Table 9. Bounding Analysis of the Fundamental Risk Coefficient.
Base ModelModel with all Controlled R2 MaxBounded Value
Outcome β ˙ R ˙ 2 β ˜ R ˜ 2 Π   = 1.3 Π   = 2 β Π = 1.3 β Π = 2
Frisk coefficient 0.07110.22350.06500.42000.5460.84000.06110.0520
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Rawal, D.; Mahakud, J.; Achary, L.M.R. Fundamental Risk and Capital Structure Adjustment Speed: International Evidence. J. Risk Financial Manag. 2025, 18, 468. https://doi.org/10.3390/jrfm18080468

AMA Style

Rawal D, Mahakud J, Achary LMR. Fundamental Risk and Capital Structure Adjustment Speed: International Evidence. Journal of Risk and Financial Management. 2025; 18(8):468. https://doi.org/10.3390/jrfm18080468

Chicago/Turabian Style

Rawal, Dilesh, Jitendra Mahakud, and L Maheswar Rao Achary. 2025. "Fundamental Risk and Capital Structure Adjustment Speed: International Evidence" Journal of Risk and Financial Management 18, no. 8: 468. https://doi.org/10.3390/jrfm18080468

APA Style

Rawal, D., Mahakud, J., & Achary, L. M. R. (2025). Fundamental Risk and Capital Structure Adjustment Speed: International Evidence. Journal of Risk and Financial Management, 18(8), 468. https://doi.org/10.3390/jrfm18080468

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