Sustainable Growth Rate

Sustainable Growth Rate

The Sustainable Growth Rate (SGR) is a financial metric used to determine the maximum growth a company can achieve without increasing its financial leverage. Essentially, it represents the rate at which a firm can expand its operations while relying solely on internally generated profits, without needing to resort to additional external financing. SGR is calculated by multiplying a firm’s return on equity (ROE) by its retention ratio, which measures the proportion of profits reinvested back into the business after accounting for dividend payouts. This relationship highlights the central role of both profitability and reinvestment policies in sustaining growth within the confines of the firm’s existing capital structure.

The importance of maintaining a sustainable growth rate lies in the balance it strikes between growth ambitions and financial stability. Companies that grow too quickly without regard to their SGR often find themselves forced to seek additional financing, either by taking on debt or issuing new equity, both of which can impose significant costs. Excessive borrowing increases financial risk and may compromise a firm’s ability to meet its obligations, leading to liquidity crises or insolvency in extreme cases. On the other hand, issuing new equity dilutes existing shareholders’ stakes and can depress earnings per share, potentially leading to reduced investor confidence. By adhering to their SGR, companies can avoid such pitfalls and instead pursue growth in a manner that preserves the integrity of their balance sheets and minimizes financial strain. This measured approach enables firms to sustain their operations and expansion while avoiding the instability often associated with aggressive, debt-fueled growth strategies.

Ignoring the sustainable growth rate can have severe consequences. Firms that overestimate their capacity for growth or fail to account for the limitations imposed by their current financial structure may miss warning signs of impending financial strain. Overreliance on external financing, particularly in volatile markets or periods of economic downturn, can expose businesses to heightened risk of default or diminished returns. Conversely, firms that grow too slowly relative to their potential SGR may miss valuable market opportunities, as competitors with more aggressive but balanced growth strategies capture greater market share. Therefore, understanding and integrating SGR into strategic planning is relevant for firms to navigate the delicate balance between seizing growth opportunities and maintaining financial health, ultimately leading to long-term sustainability and competitiveness.

What is Sustainable Growth Rate?

The Sustainable Growth Rate is defined as the maximum rate at which a company can grow its revenues and expand its operations without the need to increase its financial leverage or issue additional equity. This concept is relevant for firms seeking to balance growth with financial stability, as it delineates the boundaries within which a company can sustain expansion purely through internally generated funds. The SGR reflects the capacity of a firm to grow while maintaining its current capital structure, avoiding the need for external financing such as debt or equity issuance. This is particularly important for companies aiming to maintain financial autonomy and avoid the risks associated with heightened debt levels or equity dilution. By adhering to their SGR, companies can pursue growth trajectories that are aligned with their existing resources and financial health, ensuring long-term stability.

The formula for calculating SGR is expressed as:

This equation encapsulates two elements of a firm’s financial strategy: its profitability, represented by Return on Equity (ROE), and its reinvestment policy, captured by the retention ratio (1 – Dividend Payout Ratio). Return on Equity measures how effectively a company generates profit from its shareholders’ equity, reflecting its overall financial performance and operational efficiency. A higher ROE indicates a firm’s ability to generate substantial earnings from the capital invested by shareholders, which, in turn, supports sustainable growth without relying on external sources of capital.

The second component of the formula, the retention ratio, measures the proportion of earnings that the company retains and reinvests in its operations rather than distributing to shareholders in the form of dividends. It is calculated as 1 minus the Dividend Payout Ratio, where the Dividend Payout Ratio represents the fraction of earnings paid out to shareholders. A higher retention ratio indicates that a company is reinvesting a larger share of its profits back into the business, thus fueling its capacity for self-financed growth. Conversely, a higher Dividend Payout Ratio, while potentially satisfying shareholders’ desire for immediate returns, limits the amount of capital available for reinvestment and consequently constrains the company’s potential for internal growth.

The relationship between ROE and the retention ratio is fundamental to understanding SGR. Companies with high profitability (ROE) and a conservative dividend policy (high retention ratio) are better positioned to grow sustainably without the need for external financing. This is because they are able to generate sufficient earnings and reinvest those profits to fund expansion, increasing their asset base and revenues without diluting shareholder value or increasing debt levels. Conversely, firms with lower ROE or more generous dividend policies may find their growth prospects limited by the need to seek external financing to fuel further expansion, potentially exposing themselves to financial risks associated with increased leverage or shareholder dilution.

Key Components of SGR

1. Return on Equity (ROE)

Return on Equity (ROE) is a measure of a company's profitability, expressed as the ratio of net income to shareholders' equity. It is a component of the Sustainable Growth Rate as it directly reflects the firm's ability to generate profits from the capital provided by its shareholders. A high ROE indicates that a company is efficiently utilizing its equity base to produce earnings, which can be reinvested into the business to fund growth. This profitability is important for sustainable growth because, without sufficient returns on equity, a firm would need to rely on external funding sources, such as debt or additional equity issuance, to support its expansion, thus potentially destabilizing its financial structure.

The impact of ROE on sustainable growth is grounded in the principle that the more profit a company can generate from its existing equity, the more resources it has available to fund internal growth initiatives. These could include capital investments, research and development, or market expansion activities, all of which are relevant for scaling the business. Therefore, companies with high ROE can expand at a faster rate without increasing their financial leverage. Conversely, a lower ROE limits the firm’s ability to grow from internally generated funds, forcing it to either slow its growth or seek external financing, which could introduce additional risks. Thus, ROE serves as an indicator of a company’s capacity to grow sustainably within the limits of its existing capital base.

2. Dividend Payout Ratio

The Dividend Payout Ratio represents the portion of a company's earnings that are distributed to shareholders in the form of dividends, and it plays a huge role in determining the company’s potential for future growth. This ratio is calculated as the total dividends paid out divided by the company’s net income, and it serves as an indicator of how much of the company’s profits are being returned to shareholders versus how much is being retained for reinvestment. A high Dividend Payout Ratio implies that a significant portion of earnings is being distributed to shareholders, leaving less available for reinvestment in the business. Consequently, companies with a high Dividend Payout Ratio may experience limited growth potential, as they are not retaining sufficient earnings to fund expansion initiatives.

A lower Dividend Payout Ratio indicates that the company is reinvesting a larger portion of its earnings back into the business, thus enhancing its capacity for self-funded growth. The firm can use these retained earnings to finance various growth strategies, such as expanding production capacity, entering new markets, or developing new products. While a generous dividend policy may appease shareholders in the short term by providing immediate returns, it can limit the company’s ability to grow in the long run if it does not retain enough earnings to support future investments. Therefore, the Dividend Payout Ratio is a key determinant of how much a company can grow internally, as it influences the amount of capital available for reinvestment.

3. Retention Ratio

The Retention Ratio, calculated as 1 minus the Dividend Payout Ratio, represents the proportion of a company’s earnings that is retained and reinvested in the business rather than distributed as dividends. This metric is relevant in determining a firm’s potential for sustainable growth, as it reflects the balance between rewarding shareholders and investing in future growth opportunities. A high Retention Ratio suggests that the company is reinvesting a large portion of its profits back into the business, which can fuel expansion, innovation, and operational improvements. Companies with a high Retention Ratio are able to fund growth internally, reducing their reliance on external financing, which in turn lowers financial risk and preserves shareholder value by avoiding equity dilution or excessive debt.

However, the retention of earnings must be carefully balanced with the expectations of shareholders. Investors typically seek returns in the form of dividends, and a company that retains too much of its earnings without delivering sufficient shareholder value may face discontent among its investors. This could lead to a lower stock price or shareholder activism, both of which can be detrimental to the company’s long-term stability. Therefore, firms must strike a balance between retaining enough earnings to fund sustainable growth and distributing a portion of profits to satisfy shareholder expectations. The optimal balance depends on the company’s growth stage, industry dynamics, and profitability. Early-stage companies, for instance, may prioritize a high Retention Ratio to fund aggressive expansion, while more mature firms may opt for a higher Dividend Payout Ratio to provide consistent returns to their shareholders.

Role of SGR in Strategic Business Planning

The Sustainable Growth Rate is a tool in strategic business planning, as it provides management with a clear understanding of the maximum rate at which a company can grow without becoming overly reliant on external funding. By calculating the SGR, management can assess how much of the company’s growth can be financed through internally generated profits, such as retained earnings, without resorting to debt or issuing additional equity. This insight is vital because it helps prevent over-leveraging the business, which could otherwise increase financial risk, erode shareholder value, and lead to long-term instability. Companies that grow beyond their sustainable limits are often forced to take on increasing levels of debt or dilute equity, both of which can impose significant costs in terms of interest payments, financial distress, and reduced earnings per share. Thus, SGR allows companies to align their growth strategies with their financial capacity, ensuring that expansion is balanced with financial discipline.

Moreover, SGR is closely linked to a company’s long-term strategic goals, such as maintaining financial health, improving competitiveness, and avoiding the risks associated with overexpansion. Growing at a rate that exceeds the SGR can jeopardize a firm’s financial health by straining liquidity and increasing its reliance on volatile external capital markets. This can be particularly dangerous during periods of economic downturn or financial instability, when access to external financing may become more costly or altogether unavailable. On the other hand, maintaining growth at or below the SGR allows companies to preserve their financial flexibility, enabling them to respond to market changes, invest in new opportunities, and maintain competitive positioning without exposing themselves to the risks associated with excessive borrowing or equity dilution. Additionally, SGR plays a vital role in preventing overexpansion, a common issue for companies that pursue aggressive growth strategies without regard to their financial limitations. By adhering to the sustainable growth rate, companies can avoid overextending their resources, which can lead to operational inefficiencies, quality control issues, and ultimately, a loss of market share.

When considering large capital investments, management must evaluate whether the company can generate sufficient internal funds to finance the project without exceeding its SGR. If the investment would push the company beyond its sustainable growth rate, it may signal the need to scale back the project, delay it, or seek alternative financing options with manageable risks. Similarly, when planning to scale operations or expand product lines, management must assess whether these growth initiatives can be supported by the company’s internal financial resources. Expanding too quickly without the necessary capital can lead to operational bottlenecks, increased production costs, and supply chain disruptions, all of which can erode profitability and hinder long-term success.

Furthermore, SGR is used to assess the trade-offs between growth and profitability. In some cases, a company may choose to prioritize profitability over growth by maintaining a conservative dividend policy and reinvesting a higher portion of earnings into the business. This approach can increase the retention ratio, thereby raising the SGR and allowing the company to grow at a faster pace without external funding. Conversely, in more mature industries where growth opportunities are limited, companies may opt to pay out a larger share of profits to shareholders, reducing the SGR but focusing on delivering consistent returns. In this way, SGR serves as a flexible tool that helps management tailor its growth strategies to the company’s unique financial situation and long-term objectives.

Managing Growth

Exceeding the Sustainable Growth Rate poses risks to a company’s financial stability and long-term viability. When a company grows faster than its SGR, it inevitably faces a shortfall in internally generated funds, necessitating external financing to support its expansion. This often leads to increased borrowing, which can result in excessive financial leverage. The dangers of over-leveraging are profound: excessive debt burdens the company with high interest payments, reducing net income and limiting the available cash flow for reinvestment or operational needs. Over time, high levels of debt increase the firm’s vulnerability to external shocks, such as economic downturns or changes in interest rates, potentially leading to liquidity crises or even default. As debt obligations grow, the company may find it increasingly difficult to meet its financial commitments, which can severely damage its credit rating and further raise the cost of borrowing. This cycle of rising debt and increasing financial risk can destabilize the company’s capital structure and compromise its long-term sustainability.

When internal funds are insufficient to support the company’s growth, issuing new shares becomes a common alternative to debt financing. However, equity issuance dilutes the ownership stakes of existing shareholders, effectively reducing their claim on future earnings. This dilution can depress earnings per share (EPS) and weaken investor confidence, potentially leading to a decline in the company’s stock price. Moreover, frequent equity raises signal to the market that the company is unable to finance its growth internally, which may be perceived as a sign of weak financial management. As a result, the firm could face difficulties in attracting further investment, hindering its ability to raise capital in the future.

When growth is pursued without sufficient internal funding, the company’s financial structure becomes imbalanced, with an overreliance on external capital sources. This imbalance can erode profitability as interest payments and dividend obligations increase, reducing the company’s flexibility to invest in long-term growth initiatives. Furthermore, the pressure to maintain rapid growth can lead to inefficient capital allocation, as companies may be forced to prioritize short-term gains over strategic investments that would sustain growth in the future. In the worst-case scenario, unchecked growth can result in operational inefficiencies, overextended resources, and even insolvency. Therefore, exceeding the SGR is a risky strategy that often sacrifices financial stability for short-term expansion, jeopardizing the company’s long-term success.

Conversely, growing below the Sustainable Growth Rate represents a missed opportunity for companies to capitalize on their full growth potential. Firms that consistently grow at a rate below their SGR are essentially underutilizing their financial resources, leading to suboptimal returns on equity and missed market opportunities. By failing to fully leverage their internal profits for reinvestment in expansion initiatives, these companies limit their ability to enhance their market presence, improve operational efficiencies, and increase shareholder value. In a competitive environment, this conservative approach can result in lost market share to more aggressive competitors that are willing to grow closer to or at their SGR. As competitors expand into new markets, develop innovative products, or capture larger shares of existing markets, companies growing below their SGR risk becoming stagnant, eventually losing their competitive edge.

Growing below SGR also implies that the company is not fully reinvesting its retained earnings into value-generating activities such as research and development, infrastructure improvements, or market expansion efforts. This conservative growth approach may be suitable for mature companies operating in industries with limited growth opportunities, but for firms in more dynamic markets, it can represent a significant drawback. When a company holds back on reinvestment, it may fail to capture emerging trends or capitalize on technological advancements that could drive future growth. Furthermore, underinvestment can result in a diminished innovation pipeline, which can harm long-term competitiveness. As a result, while growing below SGR may seem like a safe strategy in the short term, it often leads to long-term strategic disadvantages, as companies are unable to exploit growth opportunities that would strengthen their position in the market.

Investors typically seek returns through either capital appreciation or dividends, and companies that grow below their potential often fail to deliver the former. While firms with a high Dividend Payout Ratio may provide shareholders with immediate returns, they sacrifice long-term growth and the potential for capital appreciation. Over time, this can lead to a stagnant or declining stock price, as investors seek out companies with more aggressive growth strategies. Moreover, failing to grow at or near the SGR may signal to investors that the company’s management is overly risk-averse or lacks strategic vision, potentially diminishing investor confidence and limiting the firm’s ability to raise capital in the future.

Case Studies

One prominent example of a company that has grown sustainably by aligning its growth targets with its Sustainable Growth Rate is Apple Inc. During its significant growth periods, particularly after the launch of the iPhone, Apple demonstrated a strong ability to balance rapid expansion with its SGR. Apple’s high Return on Equity and judicious dividend policy allowed it to generate substantial internal funds, which the company reinvested into innovation, product development, and strategic acquisitions. Rather than overextending itself through excessive borrowing or frequent equity issuances, Apple relied on its retained earnings and strong cash flows to fund its growth, allowing it to maintain a healthy balance sheet and avoid the financial instability that often accompanies rapid expansion. As a result, Apple was able to scale its operations globally, enhance its product offerings, and continually innovate, all while maintaining financial health and avoiding significant external financing. This alignment with its SGR allowed Apple to grow at a sustainable rate, preserving shareholder value and ensuring long-term profitability.

Another company that exemplifies sustainable growth aligned with its SGR is Costco Wholesale Corporation. Costco has consistently demonstrated a disciplined approach to expansion, carefully managing its growth within the limits of its internally generated funds. The company has a conservative dividend policy, choosing to reinvest a significant portion of its earnings back into the business to fuel its expansion. This strategy has enabled Costco to grow its store base, increase market penetration, and improve operational efficiencies without relying on excessive debt or diluting shareholder equity. Costco’s approach to growth, grounded in a strong ROE and high retention ratio, has allowed it to scale its operations steadily while maintaining financial stability. By adhering to its SGR, Costco has avoided the financial pitfalls of overexpansion and ensured that its growth remains aligned with its long-term financial goals, preserving its competitive position in the retail industry.

In contrast, there are numerous examples of companies that have suffered financial consequences due to their failure to heed their SGR. One such case is WeWork, a high-profile example of a company that grew at an unsustainable rate, far exceeding its SGR. During its rapid expansion phase, WeWork aggressively pursued growth by opening new office locations worldwide, without sufficient internal profits to support such a large-scale operation. As a result, the company relied heavily on external financing, raising billions of dollars through equity issuances and accruing significant debt. However, WeWork’s profitability lagged far behind its expansion, and the excessive reliance on external capital ultimately destabilized the company’s financial structure. When WeWork filed for its initial public offering (IPO) in 2019, investors raised concerns about the company’s unsustainable growth model and mounting losses. WeWork’s failure to align its growth strategy with its financial capacity, as indicated by its SGR, led to a dramatic collapse in its valuation and a failed IPO attempt, forcing the company to scale back operations and restructure its business model. This case highlights the risks associated with growing faster than the SGR, particularly when profitability is insufficient to support such rapid expansion.

Another notable example of a company that experienced financial difficulties due to exceeding its SGR is Tesla, Inc. In its earlier years, Tesla struggled with the challenge of scaling its production capabilities to meet growing demand for its electric vehicles while maintaining financial stability. The company frequently exceeded its SGR, leading to significant cash flow problems and necessitating repeated rounds of external financing, both through equity issuances and debt offerings. These capital raises diluted existing shareholders and increased Tesla’s financial leverage, creating concerns about the company’s long-term viability. Although Tesla eventually achieved profitability and stabilized its operations, its early struggles underscore the dangers of pursuing growth that outpaces internally generated funds. The company’s reliance on external financing to fuel its expansion left it vulnerable to financial instability, particularly in the face of production delays and operational challenges. Tesla’s experience illustrates the importance of aligning growth targets with SGR, especially for capital-intensive businesses where scaling operations requires substantial investment.

Strategies to Improve SGR

To improve the SGR, companies must focus on enhancing profitability through a variety of strategies. One approach is improving operational efficiency, which involves streamlining processes, reducing waste, and optimizing resource allocation. By enhancing efficiency, companies can reduce their operating costs and improve their profit margins, which directly contributes to higher net income and, therefore, a higher ROE. For example, implementing advanced technologies such as automation and data analytics can lead to more efficient production processes, faster decision-making, and reduced labor costs, all of which bolster profitability.

Another way to improve ROE is by optimizing the company’s product mix. Firms can increase their profitability by focusing on higher-margin products or services, thereby boosting overall returns without necessarily expanding their asset base. This might involve discontinuing underperforming products, entering more profitable market segments, or enhancing existing offerings to capture more value from customers. Innovation also plays a huge role in increasing ROE. Companies that invest in research and development (R&D) to create cutting-edge products or services can gain a competitive advantage, allowing them to command premium pricing and generate higher returns. Successful innovation not only increases revenue but can also enhance brand reputation and customer loyalty, further driving profitability. By focusing on these strategies—operational efficiency, product optimization, and innovation—companies can sustainably increase their ROE, enabling them to grow at a faster rate without relying on external financing.

The Dividend Payout Ratio is another component in SGR equation, as it determines how much of a company’s earnings are distributed to shareholders versus how much is retained for reinvestment in growth. To optimize their dividend policy, companies must carefully balance the trade-off between retaining earnings to fuel future growth and maintaining shareholder satisfaction through dividend payouts. A lower Dividend Payout Ratio means a higher retention ratio, which increases the amount of capital available for reinvestment and boosts the SGR. However, retaining too much of the earnings without providing adequate returns to shareholders can lead to investor dissatisfaction, as many shareholders, particularly income-focused investors, rely on dividends as a source of income.

To strike the right balance, companies should assess their growth prospects and capital requirements. Firms in high-growth industries or those with significant investment opportunities may benefit from retaining a larger portion of their earnings to finance expansion, thereby increasing their SGR. In contrast, mature companies with limited growth opportunities may opt to distribute a higher percentage of their profits to shareholders in the form of dividends, as reinvesting excess capital may not yield high returns. Moreover, companies can use share buybacks as an alternative to dividends to return value to shareholders. Buybacks reduce the number of outstanding shares, thereby increasing earnings per share (EPS) and enhancing shareholder value without increasing the Dividend Payout Ratio. This strategy allows firms to preserve more of their earnings for reinvestment while still rewarding shareholders. By optimizing their dividend policy in line with their growth strategy and market conditions, companies can improve their SGR while maintaining investor confidence and satisfaction.

One key strategy for enhancing efficiency is improving asset turnover, which measures how effectively a company uses its assets to generate revenue. Companies can boost asset turnover by increasing sales without a proportionate increase in asset base, such as through better inventory management, optimizing production processes, or improving sales strategies. For example, implementing just-in-time inventory systems can reduce excess inventory and lower storage costs, thereby improving efficiency and increasing profitability. Additionally, businesses can focus on customer relationship management (CRM) and marketing to drive higher sales from existing customers, further increasing asset utilization.

High levels of debt can burden a company with interest payments, reducing net income and constraining cash flow, which limits the ability to reinvest in growth. By managing debt levels effectively—through refinancing at lower interest rates, repaying high-cost debt, or optimizing capital structures—companies can reduce financial costs and improve their profitability. Lower debt levels also reduce financial risk, which can enhance investor confidence and lower the company’s cost of capital. A more balanced capital structure allows firms to operate with greater flexibility, freeing up resources for strategic investments that can drive long-term growth.

In addition to asset turnover and debt reduction, companies should focus on controlling operational costs. Cost control can be achieved through various methods, such as renegotiating supplier contracts, automating routine processes, and improving workforce productivity. For instance, implementing advanced supply chain management practices can reduce procurement and logistics costs, while lean manufacturing techniques can minimize waste and optimize production. By systematically identifying and eliminating inefficiencies, firms can lower their cost base, improve margins, and generate higher returns on equity. All of these efforts contribute to a healthier financial position and a higher SGR, allowing the company to grow faster while remaining within the boundaries of its internal financial resources.

Conclusion

By providing a clear framework that links profitability, reinvestment policies, and dividend distributions, SGR offers a quantitative measure of the maximum rate at which a company can expand without relying excessively on external financing. This is important in today’s competitive and often volatile market environments, where companies that grow too quickly can face significant financial risks, such as over-leveraging and ownership dilution. Conversely, firms that underutilize their internal resources and grow below their SGR may miss valuable opportunities for expansion, innovation, and market leadership. Therefore, SGR functions as a guiding metric that helps management navigate between these extremes, ensuring that growth is both ambitious and financially sustainable.

SGR provides business leaders with a clear understanding of the financial limits within which their company can operate, allowing for growth that is internally financed and less dependent on external factors such as capital markets or debt financing. Companies that adhere to their SGR are better positioned to maintain a stable capital structure, minimize financial risks, and preserve shareholder value. By using SGR as a benchmark, firms can also make more informed decisions about capital investments, product expansions, and operational scaling, ensuring that these initiatives are aligned with their long-term financial capacity. In an increasingly competitive global market, where growth must be strategic and sustainable, the use of SGR allows companies to grow at a pace that maximizes their potential while maintaining financial health.

For business leaders, integrating SGR analysis into both financial and strategic decision-making processes is really important for ensuring stable and sustainable business expansion. By regularly assessing their company’s SGR, leaders can make data-driven decisions about reinvestment, dividend policies, and capital allocation that support long-term growth objectives. Furthermore, SGR can serve as a diagnostic tool, helping management identify when growth strategies are misaligned with the company’s financial capabilities, allowing them to take corrective action before financial imbalances arise. As businesses face increasing pressure to grow in competitive markets, a focus on sustainable growth, guided by SGR, can provide a strategic advantage. Leaders who embed SGR analysis into their planning processes will be better equipped to pursue growth that is not only ambitious but also grounded in financial stability, ensuring that their company remains resilient and competitive over the long term.

Literature:

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3. Higgins, R. C. (2012). Analysis for financial management (10th ed.). McGraw-Hill.

4. Ross, S. A., Westerfield, R. W., Jaffe, J., & Jordan, B. D. (2016). Corporate finance (11th ed.). McGraw-Hill Education.

5. Penman, S. H. (2013). Financial statement analysis and security valuation (5th ed.). McGraw-Hill Education.

6. Berk, J., & DeMarzo, P. (2020). Corporate finance (5th ed.). Pearson Education.

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8. Petersen, C., & Plenborg, T. (2012). Financial statement analysis: Valuation, credit analysis, executive compensation (2nd ed.). Pearson Education.

9. Altahtamouni, F., Alfayhani, A., Qazaq, A., Alkhalifah, A., Masfer, H., Almutawa, R., & Alyousef, S. (2022). Sustainable growth rate and ROE analysis: an applied study on Saudi banks using the PRAT model. Economies, 10(3), 70.

10. Afshan, S., Yaqoob, T., Ho, W. K., & Leong, K. Y. (2024). Achieving sustainable growth in emerging economies: Insights from advance method moment of quantile regression. Gondwana Research, 127, 182-198.

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