Unraveling the Bankruptcy Risk-Return Paradox across the Corporate Life Cycle

Bankruptcy risk is a fundamental factor affecting the financial sustainability and smooth functioning of an enterprise. The corporate bankruptcy risk-return association is well founded in the literature. However, there is a dearth of empirical research on how this association prevails at different stages of the corporate life cycle. The present study aims to investigate the bankruptcy-risk relationship at different stages of corporate life cycle by employing Hierarchical Linear Mixed Model (HLMM) regression estimation on the data of listed non-financial Pakistani firms from 12 diverse industrial segments. We grouped the firms into introduction, growth, mature, shake-out, and decline stages of the life cycle using Dickinson’s model. Empirical results assert that corporate risk-taking at the introduction stage yields superior financial performance in the future, while risk at the growth stage positively contributes to a firm’s current performance. Moreover, because of risk-averse and non-diversified managerial behavior, bankruptcy risk at the mature stage is negatively associated with both current and future performance. Likewise, risk-taking at the decline stage has significant negative implications for firm performance as the managers of such firms undertake heavy investments in a turnaround attempt; however, owing to the risk-averse behavior, they may indulge in negative net present value (NPV) projects. The study findings imply that managers synchronize a firm’s risk exposure with the corresponding life cycle stage to avoid going bankrupt. Moreover, excessive risk-taking during the mature and decline stages can considerably harm the financial sustainability of an enterprise. Hence, investors should exercise a degree of caution when investing in highly indebted later-stage (mature and decline) firms. Overall, bankruptcy risk-return resembles an inverted U-shaped relationship. Our results are robust and can apply to various econometric specifications.


Introduction
Sustainability is a broad concept applicable to almost every aspect of our planet since its inception. However, since the emergence of various environmental, social, and economic issues in the past few decades, sustainability has become the focal area of research among practitioners and academicians alike. In the business world, Corporate Financial Sustainability (CFS) has been considered one of the major challenges faced by financial managers. Although there is no standard definition of CFS, in general it is "being able to be there for your beneficiaries in the long term. It is the opposite of assumed that organizations develop sequentially throughout their life cycle, while ignoring the fact that the nature of the life cycle can be nonsequential [31]. Certainly, these sequential measures have been denounced because of their linear application and unsuitability in the real corporate scenario (see, e.g., [32]). To overcome this issue, we follow Dickinson's (2011) model to measure CLC stages. She proposes a cyclic measure of corporate life cycle grounded on the cash flow patterns of an enterprise. Second, unlike Henderson and Benner [29], who used gains and losses as a measure of risk, our focus is on the bankruptcy risk of firms. Another relevant work is by Habib and Hasan [33]. They examined the association between firm performance and firm earnings (standard deviation of ROA and returns) based on risk proxies at different stages of CLC. However, the present study centers on bankruptcy risk and the associated firm's current and future performance conditional on CLC stages. Thus, the uniqueness of the current research lies in the fact that it is the first empirical attempt to examine the association between one of the most crucial types of risk (bankruptcy risk) at various stages of CLC and firm performance.
The contribution of this research is twofold. First, we categorize firms into various stages of CLC and use HLMM regressions that can process multilevel data when observations are not completely independent. Second, we provide new evidence about the relevance of corporate life cycle model on the bankruptcy risk-return association. The empirical results reinforce the fact that the bankruptcy risk-return relationship varies at different stages of CLC. Thus, practitioners and policymakers can only devise optimal capital structure plans by taking into consideration the corresponding stage of CLC to ensure the sustainable functioning of an enterprise.
Rest of the article is organized as follows. Section 2 constitutes the literature review and hypothesis development. Section 3 outlines research design. Empirical findings and discussion are reported in Section 4, while Section 5 concludes the study.

Literature Review, Theoretical Underpinning, and Hypothesis Development
The literature on corporate risk-taking and firm performance yields inconsistent outcomes. While proponents of the post-Bowman paradox [22,23,25] tried to uncover the underlying factors that explain a negative risk-return association, the prospect theory of Kahneman and Tversky [34] conjectures that managerial risk-taking preferences are dynamic, so troubled firms make hasty decisions in a turnaround attempt and to recoup losses. Furthermore, Bromiley [35] posits that poorly-performing (decline stage) firms not only take more risks, but also invest in risky gambles with lower anticipated returns. Following the prospect theory, it is plausible to maintain that early-stage firms (introduction and growth stage) have more avenues to invest in positive NPV projects, and their sales grow rapidly, which contributes to firm profitability. However, once the sales level stagnates (maturity stage), managers start to invest in long shots that further deteriorate firm performance (decline stage).
Furthermore, in a more recent study, Akbar et al. [7] revealed that introductory firms face higher bankruptcy risk with heavy financing costs because of the information asymmetry. Likewise, Liao [36] suggests that new entrants usually face negative returns because of less efficient production processes and limited access to financial resources. Hence, risk-taking at the early stage of the life cycle yields poor performance [33]. However, over the course of time, younger firms learn to avoid losses [29]. Start-up firms require higher investment in plants and equipment and thus have more options to undertake investments in positive NPV projects [37]. However, heavy investment in capital assets and capacity building at the introduction stage may result in poor current performance. Once the opportunity is properly capitalized, such firms will enjoy substantial profitability in the future. This was confirmed by Navaretti et al. [38]: in a sample of firms from three European countries (France, Italy, and Spain), they found that young firms perform better than older firms.
Growth-stage firms focus on research and development, capacity building, and advertisement to distinguish their product line from competitors, which results in higher profit margins [39]. Furthermore, growth firms focus on rapid sales growth, which boosts firm performance [3]. Ultimately, a risk-reward balance could be attained between the growth and maturity stages of the life cycle [1]. Yazdanfar and Öhman [40] used panel data from 26,721 Swedish small to medium enterprises (SMEs) for 2008-2011 and observed that firms at their introduction and growth stage perform better than mature firms.
Lester and Parnell [41] posit that, owing to the hierarchical and bureaucratic structure of mature firms, introducing structural changes becomes difficult, which increases the likelihood of poor performance during the maturity phase. Moreover, the demand for external borrowing declines as cash flows yielded from internal operations are adequate to satisfy the operational requirements. Though mature firms can borrow at lower rates [42], they face a lack of future growth prospects owing to fewer profitable investment opportunities and a higher level of retained earnings [10]. Hence, any additional borrowing may yield negative returns because of limited positive NPV investment opportunities.
The fourth stage of corporate life cycle is the "revival phase" [3], "termination stage" [43], "renewal" [41], or "shake-out stage" [1]. As suggested by these names, researchers have competing arguments regarding the shake-out stage of a firm's life cycle. Miller and Friesen [3] and Lester and Parnell [41] propose that it is the most interesting stage of CLC. Considerable product innovations take place during this stage. Firm size increases and they expand exponentially. On the contrary, Dickinson and Gort and Klepper [1,44] contend that, during this stage, product lines start to decline and the decline in sales growth leads to declining prices [45]. However, the function of the shake-out stage of CLC is still vague in theory [1]. Thus, following [7,46,47], the shake-out stage is taken as the base in our regression analysis to compare the results of the rest of the CLC stages.
During the decline stage of CLC, firms usually abstain from innovation. They face higher bankruptcy risk [7] and their product lines become outdated and unattractive, which causes a substantial decrease in product price and revenues [3,45]. As a result, managers escalate investments to regain profitability. However, due to risk-averse and nondiversified behavior, they tend to invest in negative NPV undertakings to signal to shareholders that profitable investment options are still available [48]. However, hefty borrowing-driven investments in negative NPV projects may result in poor future performance, thus endangering their financial sustainability.
Thus, in light of the above discussion, we develop the following research hypotheses:

H1:
Risk-taking at the introduction stage yields superior subsequent firm performance.

H2:
Risk-taking at the growth stage yields superior current performance.

H3:
Risk-taking at the mature and decline stages yields poor firm performance.

Dependent Variable
Firm performance is the dependent variable, which can be measured in several ways, such as sales growth, market capitalization, market to book ratio, turnover, and financial performance. The present study uses financial performance as the dependent variable to examine the proposed relationship. Return on Assets (ROA) and Return on Equity (ROE) are the two most commonly used proxies of corporate financial performance. ROA is measured as net income, scaled by total assets, whereas ROE is measured as net income scaled by stockholders' equity. The key difference between these two proxies is that a firm can increase its ROE, at least in the short run, by generous/higher utilization of debt without improving its earnings, though this is not the case with ROA. Moreover, in the present study bankruptcy risk is our main explanatory variable, which is also a function of a firm's debt level. Therefore, to get unbiased findings we employ ROA, measured as net earnings after tax divided by total assets, as our dependent variable. Furthermore, it is evident that when firms acquire capital assets or undertake heavy investments, their debt burden and consequent bankruptcy risk escalates in that particular period. However, this increased risk pays off in the subsequent years. Therefore, to assess the impact of current year bankruptcy risk on a firm's future performance, we also employ one year forward return on assets (ROA t + 1) as our second dependent variable.

Explanatory Variables
A firm's bankruptcy risk and its interaction between CLC stages (CLC stage*bankruptcy risk) are the main explanatory variables in this study. Careless selection of a bankruptcy risk measure can have adverse effects on the empirical outcome. Numerous studies have tried to measure the bankruptcy risk using a single firm-level variable such as book-to-market ratio, size, leverage, age, dividend payout, debt ratings, and group membership. These variables are not the true predictors of bankruptcy risk: for example, highly-leveraged firms have the highest bankruptcy risk, but this may not be true for a well-managed firm in a flourishing industrial segment. Similar views were presented by Clearly and Griffin and Lemmon [49,50]. Therefore, in the literature, a wide range of econometric models are available to gauge a firm's bankruptcy risk. Most of the models use different financial ratios to predict bankruptcy risk; for a good overview of these models, see, e.g., [51][52][53][54]. In the context of Pakistan, studies suggest that the Altman [51] model is an effective tool to measure the financial health of nonfinancial listed firms [55][56][57][58]. The Altman Z-score remains a familiar tool for evaluating the financial health of firms in recent research [7,[59][60][61]. Therefore, we use Altman's Z-score as our primary dependent variable. Altman [51] used five explanatory variables and developed a model called the Altman Z-score. A lower Z-score (1.8 or below) indicates that a firm is at a high risk stage, while a higher Z-score (3 or above) predicts that a firm is in a stable situation. Thus, the inverse of the Altman Z-score is employed in the regression analysis. Table 1 shows the year-wise bankruptcy risk level for sample firms on the basis of the Altman's Z-score. The data of financial ratios to calculate Z-score has been retrieved from a Balance Sheet Analysis  Moreover, it is difficult to calculate the life cycle stage of a particular firm that is offering fairly diverse products in multiple industries [1]. Keeping this in mind, we follow the approach used by Dickinson [1] to calculate the corporate life cycle stages. She posited that a firm's cash flow is a gauge of variations in its profitability, growth, and risk. Thus, we can classify firms into various stages of corporate life cycle, such as introduction, growth, maturity, shake-out, and decline through operating cash flows (OCF), investing cash flows (ICF), and financing cash flows (FCF). The methodology to segregate the firms is elaborated below: Sustainability 2020, 12, 3547 Shake-out = any pattern other than the aforementioned categories, where + indicates cash flows with a value that is > 0, while − shows cash flows with a value < 0. Figure 1 is a pie diagram that shows the life cycle-wise distribution of sample firms based on Dickinson's [1] model. Cash flow data to calculate corporate life cycle stages are retrieved from the OSIRIS database. They show that 43% of the sample firms are mature, while 7% are experiencing the decline stage of the corporate life cycle. Likewise, introduction, growth, and shake-out firms have shares of 18%, 18%, and 14%, respectively.
corporate life cycle, such as introduction, growth, maturity, shake-out, and decline through operating cash flows (OCF), investing cash flows (ICF), and financing cash flows (FCF). The methodology to segregate the firms is elaborated below: Shake-out = any pattern other than the aforementioned categories, where + indicates cash flows with a value that is > 0, while − shows cash flows with a value < 0. Figure 1 is a pie diagram that shows the life cycle-wise distribution of sample firms based on Dickinson's [1] model. Cash flow data to calculate corporate life cycle stages are retrieved from the OSIRIS database. They show that 43% of the sample firms are mature, while 7% are experiencing the decline stage of the corporate life cycle. Likewise, introduction, growth, and shake-out firms have shares of 18%, 18%, and 14%, respectively.

Firm-Level Control Variables
Firm performance is influenced by several internal factors (e.g., firm size, growth, leverage, and capital expenditure). Hence, the present study incorporates several firm-level controls that may be associated with firm profitability, as omission of these controls can give rise to unobserved heterogeneity and the correlated omitted variable issue. Comprehensive variable descriptions are presented in Appendix A.

Industry-Level Control Variables
We also employ control for the industry competition (INDCOM). Industry competition is calculated by using the Herfindahl index. It is a measure of firm size relative to the industry and also an indicator of the intensity of competition between firms. The Herfindahl index is calculated as the sum of the squares of the market share of firms within an industry. In such a way, the measure of 18% 18% 43% 14% 7%

Introduction
Growth Mature Shake-out Decline

Firm-Level Control Variables
Firm performance is influenced by several internal factors (e.g., firm size, growth, leverage, and capital expenditure). Hence, the present study incorporates several firm-level controls that may be associated with firm profitability, as omission of these controls can give rise to unobserved heterogeneity and the correlated omitted variable issue. Comprehensive variable descriptions are presented in Appendix A.

Industry-Level Control Variables
We also employ control for the industry competition (INDCOM). Industry competition is calculated by using the Herfindahl index. It is a measure of firm size relative to the industry and also an indicator of the intensity of competition between firms. The Herfindahl index is calculated as the sum of the squares of the market share of firms within an industry. In such a way, the measure of industry competition will range between 0 and 10,000; a larger Herfindahl index suggests highly concentrated industry with lower competition. Following is the criteria declared by the Federal Trade Commission of America to classify an industry in any market structure using the Herfindahl index (HHI): i.
If the HHI value is less than 1000, the industry will be considered unsaturated (competitive market); ii.
An HHI value ranging between 1000 and 1800 means the industry is moderately saturated (monopolistic competition); iii.
If the HHI value is more than 1800, it is a saturated market (oligopoly; if the value is > 10,000 then it is a pure monopoly). Table 2 shows the level of concentration/competition in our sample firms within their industry using HHI scores. Stock prices data to calculate HHI for 2005 to 2013 were obtained from the business recorder group website khistocks.com. HHI scores reveal that the textile sector is the only sector that remained perfectly competitive during the study period. Chemicals, chemical products, and pharmaceuticals and motor vehicles, trailers, and auto parts were moderately saturated industries. Meanwhile, the food industry was a perfectly competitive market for 2005 to 2011. Afterwards, it was categorized as a moderately concentrated industry-except in 2012, when the HHI score reached the 1969 level. Likewise, the fuel and energy sector was found to be a moderately concentrated sector for the observed time period. The rest of the five industries were operating in an oligopolistic competition environment, except for other manufacturing, which remained concentrated during 2005 to 2007; in the subsequent period, it became a moderately concentrated industry-excluding 2011, when the HHI score was 992 (yearly scores are not reported in the table to conserve space).

Country-Level Controls
The study employed country-level economic controls in the regression analysis as these are suggested in the extant literature to have an impact on firm performance. Economic controls, industrial growth (INDGR), and GDP growth (GGDP) are included in the analysis to avoid the unobserved heterogeneity.

Sample and Data Collection
The data to calculate corporate life cycle stage were retrieved from the OSIRIS database. Stock price data were obtained from the business recorder group's website khistocks.com. To calculate bankruptcy risk proxy and control variables, the Balance Sheet Analysis (BSA) published by the State Bank of Pakistan (SBP) has been used. GDP growth data are retrieved from the World Development Index (WDI) of the World Bank. Finally, industrial growth data were obtained from the Central Intelligence Agency (CIA) World Factbook. Additionally, annual reports of the respective firm were also consulted to make up for the missing observations.

Empirical Strategy
The structure of our dataset is hierarchical in nature, consisting of 295 firms nested in 12 industries of Pakistan. From the econometric standpoint, firm-level observations are grouped under higher units (e.g., industries and countries); therefore, data analysis through OLS regressions can give rise to issues like biased estimates of standard errors or correlated error terms, and thus lead to biased interpretation of the results [62]. Moreover, it is essential to differentiate the firm-level effects from the industry-or country-level effects in order to understand the role of firm-versus industry-and country-level variables and to suitably model their interaction. Hence, the present study adopts hierarchical linear mixed models (HLMM) regression estimates, which can process multilevel data when observations are not completely independent; see [63] or [64] for an introduction to HLMM. In the present study, firms within a given industry form the base-level observations, while industries serve as higher-level observations.
There are several benefits to using a multilevel hierarchical model. First, we can test multilevel observations by simultaneously categorizing the variables at lower (firm) and higher (industry) levels without segregating the data. Second, the HLMM estimation can handle unbalanced panel data in cases where the sample size varies significantly across industries. In our study, the number of firms varies considerably across 12 diverse industrial segments. Thus, HLMM is a more suitable econometric approach for this study.

Alternate Methodology
The advantage of using panel-based models is that they help to control unobserved heterogeneity, which minimizes the possibility of getting biased results due to heterogeneity [65]. Therefore, we also apply panel fixed-effects and random-effects regressions as a robustness check. A Hausman post-estimation test was performed to choose the preferred model between fixed-effects and random-effects regressions.

Empirical Model
The following regression models were employed to empirically examine the hypotheses raised in this paper. The first model expresses the association between a firm's bankruptcy risk and current performance. The second model examines the linkage between bankruptcy risk and future corporate performance. ROA and ROA T+1 are the dependent variables for Equations (1) and (2), respectively. Our main variable of interest is Risk * FLCS, which is a vector of the dummy variables that symbolize corporate bankruptcy risk's interaction with firm life cycle stages, whereas β2, β3, β4, and β5 denote bankruptcy risk * introduction, bankruptcy risk * growth, bankruptcy risk * mature, and bankruptcy risk*decline, respectively. SIZE, MTB, FAGR, INDCOM, INDGR, and GGDP are control variables and represent firm size, market to book ratio, growth in fixed assets, industry competition, industrial growth, and GDP growth of the country, respectively. For variables' description and calculation, see Appendix A.  Table 3 presents the descriptive statistics of variables. The average values of ROA, a profitability measure, shows that sample firms generate negative profits at the introduction (−0.080) and decline (−1.73) stages, while profitability is at its peak during the mature (9.41) stage of corporate life cycle. Moreover, the bankruptcy risk measure for the introduction (−1.32), growth (−1.78), and decline (−0.929) stages is higher than for the mature (−2.76) stage. FSIZE shows that firms are smaller in size at the introduction stage (12.8) and grow significantly during the growth (13.5) and mature (13.63) stages. However, they start to shrink again at the decline (12.13) stage. In line with corporate life cycle proposition, the MTB increases when the firm progresses from the introduction (0.217) to the mature (1.29) stages and declines as firms transition from the mature to the decline stage (0.839). Furthermore, fixed assets grow between the introduction and growth stages but diminish during the mature and decline stages. Statistics on industry competition/concentration suggest that firms at the introduction stage are less concentrated (HHI = 983) and face a high level of competition. However, when firms advance from the introduction to the mature stage, they get much more concentrated and face less competition at the successive stages of their life cycle.

Descriptive Analysis
The mean values of INDGR and GGDP are 4.49 and 3.87 respectively. Life cycle-wise statistics indicate that when the values of industrial 5.09 and GDP 4.33 growth were higher, firms were at the growth stage. Contrarily, during the period of low industrial 3.76 and GDP 3.25 growth, firms switched to the decline stage. Figure 2 depicts variations in firm bankruptcy risk and financial performance at different stages of the corporate life cycle. Whereas Return on Assets (ROA) and one-year-ahead Return on Assets (ROA+1) is used to measure corporate financial performance, the Altman z-score is deployed as a bankruptcy risk measure. It is evident that firms engaged in higher risk at the introduction stage, which gradually decreased and reached at a minimum level during the mature stage of the life cycle. However, consistent with the expectations, when firms transition from the mature to the decline stage, their bankruptcy risk tends to escalate rapidly. Interestingly, firm performance is inversely proportionate to its bankruptcy risk. Financial performance improves when firms move from the introduction to the mature stage and begins to deteriorate from the mature to the decline stage. The evidence strongly supports the notion that not only does the financial sustainability of firms vary across the corporate life cycle, but also their associated financial performance is influenced differently at each stage of CLC. 3.25 Statistics on industry competition/concentration suggest that firms at the introduction stage are less concentrated (HHI = 983) and face a high level of competition. However, when firms advance from the introduction to the mature stage, they get much more concentrated and face less competition at the successive stages of their life cycle.
The mean values of INDGR and GGDP are 4.49 and 3.87 respectively. Life cycle-wise statistics indicate that when the values of industrial 5.09 and GDP 4.33 growth were higher, firms were at the growth stage. Contrarily, during the period of low industrial 3.76 and GDP 3.25 growth, firms switched to the decline stage.  one-year-ahead Return on Assets (ROA+1) is used to measure corporate financial performance, the Altman z-score is deployed as a bankruptcy risk measure. It is evident that firms engaged in higher risk at the introduction stage, which gradually decreased and reached at a minimum level during the mature stage of the life cycle. However, consistent with the expectations, when firms transition from the mature to the decline stage, their bankruptcy risk tends to escalate rapidly. Interestingly, firm performance is inversely proportionate to its bankruptcy risk. Financial performance improves when firms move from the introduction to the mature stage and begins to deteriorate from the mature to the decline stage. The evidence strongly supports the notion that not only does the financial sustainability of firms vary across the corporate life cycle, but also their associated financial performance is influenced differently at each stage of CLC. Table 4 shows the results of a pairwise correlation analysis of the baseline variables. The performance proxy ROA has a negative correlation with bankruptcy risk and fixed assets growth, but a positive association with FSIZE, MTB, INCOM, INGR, and GDPG. Firm size has a significant positive coefficient with market to book ratio, referring to the findings of Table 1, which suggests that firms at the introduction phase are smaller in size (12.8); however, their size increases as they pass  Table 4 shows the results of a pairwise correlation analysis of the baseline variables. The performance proxy ROA has a negative correlation with bankruptcy risk and fixed assets growth, but a positive association with FSIZE, MTB, INCOM, INGR, and GDPG. Firm size has a significant positive coefficient with market to book ratio, referring to the findings of Table 1, which suggests that firms at the introduction phase are smaller in size (12.8); however, their size increases as they pass through the growth (13.5) stage and is largest during the mature stage (13.63) of the life cycle. This correlation shows that, during the introduction phase of the life cycle, firms have limited information available to investors, which leads to a higher risk being associated with their stocks. However, as firms pass through different stages of the life cycle, they have more information available for stakeholders. Therefore, as compared to infant firms, investors tend to attribute more value to the stocks of growing and mature firms. Furthermore, growth in fixed assets is negatively associated with ROA, while this relationship is positive for ROA+ 1 . It reflects that investment in fixed assets yields profitability in the future.
Overall, in some cases the correlation among control variables is significant, which may give rise to a multicollinearity issue in the proposed models. Therefore, we applied Variance Inflation Factor (VIF) analysis to check if such a problem exists in our data. A VIF value of 10 or higher shows that variables have multicollinearity [66]. However, none of our variables have a VIF value greater than the prescribed limit, thus eradicating the possibility of multicollinearity in our analysis (see Appendix B).  Table 5 reports the results of our baseline analysis, using HLMM regression to examine the association between corporate performance and bankruptcy risk at various stages of the life cycle. Robust t-statistics are in parentheses, while *** , ** , and * indicate 1%, 5%, and 10% significance levels, respectively. We estimate two regression models with current ROA and one-year-ahead ROA as the dependent variables. Key variables of interest in both regression models are the interaction between corporate bankruptcy risk and life cycle stages (Risk*CLC stages), and firms' current (ROA) and future performance (ROA +1 ).

Regression Analysis
The findings of Model 1 reveal that, irrespective of firm life cycle stages, ROA has a negative relationship with bankruptcy risk, inferring that escalated risk levels lead to a decline in corporate profitability. Similar findings were reported by [22,23] using different proxies of risk. RISK*Intro shows a positive yet insignificant correlation with ROA, which could be attributed to the fact that introductory firms focus on breakthrough innovations that can unleash their productivity potential and performance in the succeeding years. Likewise, RISK*Grow has a significantly (p < 0.05) positive association with ROA, having a coefficient of 0.479. This shows that growing firms borrow heavily through external funding sources [7]; however, high revenue growth and an emphasis on product innovation with a growing market share help to improve the firm's profitability. In line with H3, RISK*Mature has a significantly negative relationship with ROA. This suggests that, during the introduction stage, firms have more possibilities to invest in profitable avenues. Their product and process innovation will also be more attractive for customers; therefore, by assuming more risk, such firms can gain higher profitability. However, mature firms have very limited profitable investment avenues; therefore, managers may invest in negative NPV projects to give positive signals to stakeholders. Nevertheless, their innovation level also declines with stagnating sales [1,3]. Therefore, risk-taking at the mature stage generates negative future profitability. Consistent with the prospect theory, RISK*Decline has a negative and statistically significant relationship with performance, suggesting that managers of decline firms undertake hefty investments in a turnaround effort yet a risk-averse attitude may lead to investing in bad gambles, which generates poor returns. t statistics are in parentheses; * p < 0.1, ** p < 0.05, *** p < 0.01.
Interestingly, the regression results of Model 2 reveal that overall bankruptcy risk has a significant negative coefficient with firms' future performance. However, the coefficients show that the average impact of bankruptcy risk is much higher on current performance as compared to the future performance of firms. This implies that firms borrow heavily to buy capital assets, which reduces their current earnings; however, as those assets start contributing to the income/value of the firm, corporate profitability increases, which helps to improve firm performance in subsequent years. Unlike in Model 1, risk-taking at the introduction stage has a significantly (p < 0.05) positive association with ROA t+1 . It strengthens the proposition that introduction firms take time to establish their business and start to generate profits. In addition, introduction firms engage in major innovation projects with a long-term strategic orientation, so risk-taking at this stage generates positive outcomes. RISK*Grow is also positively associated with future performance-though, unlike with Model 1, this association is not significant. This shows that the performance of growth firms does not respond to past risk propensities; instead, it is associated with their current level of bankruptcy risk. Similar to Model 1, RISK*Mature has a significantly (p < 0.01) negative association with future performance. Likewise, bankruptcy risk at the decline stage has a negative yet insignificant association with future ROA.
As with the control variables, the reported results belong to Model 1. FSIZE indicates a positive and significant relationship with firm performance, meaning that large firms intend to generate better performance. As expected, a firm's market to book ratio and sales growth contribute to its performance. Growth in fixed assets has an insignificant correlation with firm performance. This reveals that investment in fixed assets such as land and machinery is a part of long-term planning that will contribute to firm performance in the long run. Industry competition has no significant association with firm-level performance. Among country-level variables, industrial growth rates reveal a negative and significant link with future performance, while GDP growth is positively associated with a firm's future performance. Table 6 presents the random part of our HLMM model. In this table, the observation's residual is partitioned into three parts that define its value in relation to the firm, industry, and grand means. Statistics reveal that the observations diverge from their firm mean by an average of 9.06, with a standard error of 0.144, and firm mean deviates from the respective industry mean by an average of 6.39. The industry mean of sample observations deviates from the grand mean by 0.00002. In short, this evidence strengthens our belief that the model specification is reasonable. To check the robustness, in Table 7 we examine the similar regression models using the panel fixed effects regression estimation. Bankruptcy risk indicates a significant (0.01) and negative association with current and future firm performance. Consistent with the findings of HLMM, the coefficient for future performance is much lower than that of the current performance. RISK*Intro is positively associated with ROA and ROA t+1 . Similarly, bankruptcy risk has a positive correlation with the performance of the growth firms; however, this association is significant only for the current performance. RISK*Mature shows a negative and statistically significant coefficient with current and future performance (p < 0.01). Similarly, risk-taking at the decline stage also reveals a negative coefficient. Among control variables, sales growth, market to book ratio, firm size, and growth in fixed assets have positive and statistically significant associations with corporate performance. Summing up, the findings of Table 7 are highly aligned with the findings of Table 5, which indicates that our results are robust. t statistics in parentheses; * p < 0.1, ** p < 0.05, *** p < 0.01.

Conclusions
Risk is a fundamental factor affecting the financial health and smooth functioning of an enterprise. The financial crisis of 2008 and the liquidity crunch that followed have forced managers and researchers to evaluate the implications of corporate risk-taking on sustainable financial performance. This study investigates the association between a firm's bankruptcy risk and its current and future performance at various stages of the corporate life cycle. Following the entrepreneurial activity approach and prospect theory, we suppose that, at the early stages of their life cycle, firms have considerable opportunities to grow by investing in positive NPV projects; however, as firms mature, further investment in existing projects tends to cause a decline in profitability due to a nondiversified and self-serving approach, as managers may avoid investing in risky NPV undertakings. Hence, bankruptcy risk at the introduction and growth stages is positively associated with a firm's financial performance and negatively linked with the performance of mature and decline firms.
Empirical evidence suggests that, irrespective of the life cycle stages, bankruptcy risk results in negative current and future profitability. Moreover, the performance of introduction and growth firms responds positively to risk-taking. Contrarily, risk-taking during the mature and decline stages negatively correlates with firm performance, giving an inverted-U shaped pattern. This research unveils some noteworthy findings, as introduction firms have a positive but insignificant association with current performance; however, this relationship is significant for future performance, indicating that, during the start-up stage, firms mainly focus on breakthrough innovations and product development processes. Once this innovation activity is successful, it is likely to yield profitable outcomes in subsequent years. Similarly, risk-taking at the growth stage is significantly associated with current performance but insignificantly associated with the next year's performance. This indicates that the performance of these firms is quite responsive to their current capital inflows.
This study makes some important contributions to the corporate sustainability domain. First, it contributes to the enterprise management literature by directly examining the impact of firm life cycle stages on the relationship between bankruptcy risk and firm performance. Prior studies have ignored the perceived impact of life cycle stages in determining the risk-return relationship. Moreover, most earlier studies such as [20,22] report conflicting empirical findings. Second, the results of the present research suggest that managerial decisions of mature and decline firms are not aligned with the wealth maximization objective of shareholders and excessive risk-taking at these stages can considerably endanger a firm's financial sustainability. The study has practical implications for various corporate stakeholders. Managers should adjust the bankruptcy risk of their firms to be in line with the respective life cycle stage to avoid a bank run. Likewise, investors should be more cautious when investing in mature and declining firms. Furthermore, a firm's shareholders should also exert pressure on the management to align their financial decisions with the respective CLC stage to ensure the sustainable functioning of their business in crisis situations.
However, the study also has some limitations that are worth mentioning. First, the research sample is confined to listed Pakistani firms. Hence, the findings of this study can only be generalized to listed firms in developing countries with similar macroeconomic dynamics. Further studies in this area can explore how this relationship prevails in the context of advanced economies. Second, our research only takes into account the bankruptcy form of risk, ignoring other risk categories such as country risk, political risk, market risk, operational risk, etc. Therefore, future studies in this domain can explore the influence of CLC stages on the association between other risk categories and the financial performance of an enterprise.   Fixed assets growth is measured as current years' fixed assets scaled by lagged fixed assets Growth in fixed assets is expected to generate better future performance

Industry competition INCOM
Industry competition is measured by the Herfindahl index. It is calculated as the sum of the squares of market share of firms within a given industry. Higher value of index suggests a high market concentration and a low level of competition An increase in competition is anticipated to have negative effects on a firm's ROA

Country-Level Control Variables
Industrial growth rate INGR Annual percentage increase in industrial production of Pakistan Increased industrial growth is expected to have a positive association with future returns on assets Growth in Gross domestic product GDPG Annual GDP growth rate GDP growth is also anticipated to have a positive relationship with future performance