3.4. Granger Causality Tests
Before conducting the Granger causality tests, the optimal lag lengths for each of the five phases were determined using information criteria, resulting in lag orders of 1, 1, 2, 1, and 1, respectively. Granger causality tests were then performed to assess the directional price relationships among the three markets across the five phases. The results are reported in
Table 4.
In Phase I, there is no Granger causality between Chinese cotton futures and cotton yarn futures. This suggests that during the initial period following the listing of cotton yarn futures in China, market participation remained limited, liquidity was relatively low, and pricing linkages with cotton futures had yet to form. Moreover, neither Chinese cotton futures nor cotton yarn futures are Granger-caused by U.S. cotton futures; however, U.S. cotton futures are found to Granger-cause both Chinese cotton and cotton yarn futures. This unidirectional causality indicates that China’s cotton futures markets remain in a passive position in relation to U.S. cotton futures, lacking significant influence and leaving considerable room for development.
In Phase II, the previously unidirectional relationship in Phase I—where U.S. cotton futures led Chinese cotton futures—evolves into a bidirectional Granger causality. A plausible explanation lies in the effects of the China-U.S. trade conflict: following the imposition of tariffs on Chinese cotton by the U.S., China adopted countermeasures such as rotating its national cotton reserves and shifting imports toward Brazilian cotton, thereby diminishing the price-setting authority of U.S. cotton in global markets.
In Phase III, the prolonged trade conflict compounded by the impact of the COVID-19 pandemic strengthened the linkage between Chinese cotton and cotton yarn futures, resulting in a bidirectional Granger causality. This could be attributed, on the one hand, to frequent disruptions in logistics caused by the pandemic, which created cotton shortages and pushed up yarn production costs, thereby reinforcing the price transmission from cotton to yarn. On the other hand, mass cancelations of global orders prompted Chinese yarn producers to reduce raw material inventories, leading to inventory pressure in the yarn segment that was transmitted upstream to the cotton market through production cuts. Additionally, heightened market panic during the pandemic triggered a surge in risk-hedging demand, significantly boosting the liquidity of cotton yarn futures. As hedging became widespread throughout the supply chain, cotton yarn futures shifted from a marginal to a central pricing role within the industry. During this phase, U.S. cotton futures continued to Granger-cause both Chinese cotton and cotton yarn futures. However, the reverse causality from Chinese cotton futures to U.S. cotton futures disappeared. This asymmetry reflects the collapse of end-user demand in China’s textile sector due to the pandemic, which eroded China’s pricing power as the world’s largest cotton consumer. Simultaneously, disruptions in global supply chains prompted China to rely more heavily on domestic reserve cotton, further weakening the ability of domestic demand shocks to transmit to international markets, leaving Chinese futures markets subject to the unilateral influence of the financialized U.S. cotton market.
In Phases IV and V, as the effects of the pandemic and the trade conflict gradually subsided, the bidirectional Granger causality between Chinese cotton and cotton yarn futures once again disappeared. This may be attributable to the Chinese government’s temporary interventions via supply stabilization and price control policies, as well as market-based differentiation in risk premiums between the two commodity types. These factors further weakened the traditional pricing linkages along the cotton-textile industrial chain, temporarily nullifying mutual price discovery mechanisms. Additionally, liquidity in the cotton yarn futures market declined during these periods, diminishing its pricing functionality and impairing its role in effective price transmission. Notably, U.S. cotton futures consistently remained a Granger-causal driver of both Chinese cotton and cotton yarn futures throughout all phases, suggesting that despite the shocks of the COVID-19 pandemic and the China-U.S. trade conflict, China’s cotton-related futures markets have yet to establish significant global pricing influence. The U.S. continues to dominate price leadership in the international cotton market.
3.5. Mean Spillover Analysis Based on a Vector Autoregression (VAR) Model
A Vector Autoregression (VAR) model is constructed to examine the influence of both the lagged values of each variable and those of other related variables on future outcomes. This approach provides the foundation for subsequent analysis using impulse response functions and forecast error variance decomposition, which allows for an assessment of the magnitude, direction, and duration of dynamic responses to exogenous shocks within the system. The VAR model facilitates the quantification of inter-variable relationships and enables a structural interpretation of the dynamic interactions among variables, thereby allowing us to identify the direction and intensity of mean spillover effects across the three futures markets.
First, the optimal lag length p for the VAR model is determined using the Akaike Information Criterion (AIC) and the Schwarz Criterion (SC). For all five phases, the optimal lag order is found to be p = 1. Second, stability diagnostics are conducted for each VAR specification. Specifically, the inverse roots of the characteristic equations for all five models lie within the unit circle, indicating that the estimated parameters are stable and that the models possess valid predictive capabilities. This confirms the appropriateness of proceeding with further dynamic analysis. Finally, impulse response analysis and variance decomposition are carried out to investigate the transmission of shocks and the relative contributions of each variable to system fluctuations.
Figure 1,
Figure 2,
Figure 3,
Figure 4 and
Figure 5 illustrate the magnitude and duration of the responses among the three futures markets across five distinct phases under the impulse response analysis framework. The solid line represents the impulse response function of the response variable, the dashed lines denote the 95% confidence intervals. These figures capture how price shocks originating in one market affect the others over time.
As shown in
Figure 1, during Phase I, the response of Chinese cotton futures to shocks from cotton yarn futures occurs between periods 1 and 3, peaking in period 2, though the overall impact remains relatively modest. In contrast, the response to shocks from U.S. cotton futures is both faster and more pronounced. Chinese cotton yarn futures exhibit a strong response to Chinese cotton futures, with the largest effect appearing in period 1. The response to U.S. cotton futures peaks in period 2. U.S. cotton futures display a relatively large response to Chinese cotton futures, but their response to Chinese cotton yarn futures remains weak throughout.
Overall, the results suggest a bidirectional influence between Chinese cotton and cotton yarn futures; however, the influence of cotton yarn futures is markedly weaker. Notably, only Chinese cotton futures exert a limited influence on U.S. cotton futures, while U.S. cotton futures exert significant influence on both Chinese cotton and cotton yarn futures—with a particularly strong impact on the Chinese cotton futures market. These findings are broadly consistent with real-world market dynamics.
As shown in
Figure 2, during Phase II, the response of Chinese cotton futures to shocks from cotton yarn futures remains largely unchanged compared to the previous phase. However, its response to shocks from U.S. cotton futures becomes more pronounced, peaking in period 2. This increased sensitivity may be attributed to the stringent grading standards and advanced testing methods used for U.S. cotton, particularly its “no foreign fiber” quality, which continues to be highly favored by Chinese textile manufacturers. Consequently, despite the ongoing China-U.S. trade conflict, China remains heavily reliant on imports of U.S. cotton, thereby intensifying the influence of U.S. cotton prices on China’s cotton futures market.
Chinese cotton yarn futures also exhibit a significantly stronger response to both domestic and U.S. cotton futures, with the peak impact occurring in period 1. This suggests that as the cotton yarn futures market became more mature and the trade tensions escalated, the linkage between cotton yarn and cotton futures markets strengthened. However, the influence of Chinese cotton yarn futures on U.S. cotton futures remains negligible. This section is not mandatory but may be added if there are patents resulting from the work reported in this manuscript.
As illustrated in
Figure 3, during Phase III, the response of Chinese cotton futures to cotton yarn futures strengthened compared to the previous phase, while the response of cotton yarn futures to cotton futures weakened. Notably, prior to the COVID-19 pandemic, U.S. cotton futures primarily followed the pricing signals of Chinese cotton futures. However, the outbreak disrupted global supply chains and prompted a shift in the U.S. market’s pricing anchor. On the one hand, China’s strict pandemic containment measures led to a decline in cotton import demand, thereby weakening the influence of Chinese cotton futures on U.S. cotton futures. On the other hand, international logistics bottlenecks and China’s “domestic circulation” policy reinforced the status of cotton yarn as a final consumer product. As textile manufacturers in Europe and the United States were forced to increase local procurement in response to unstable supplies of Chinese cotton yarn, U.S. cotton futures began to reflect domestic demand expectations through cotton yarn prices. Consequently, the responsiveness of U.S. cotton futures to shocks in the cotton yarn futures market increased during this period.
As shown in
Figure 4, during Phase IV, the bidirectional response relationship between Chinese cotton and cotton yarn futures once again shifted compared to the previous phase. Both markets exhibited similar patterns in terms of the magnitude and duration of their responses to shocks from U.S. cotton futures, indicating that cotton yarn had become a key component in the evolving dynamics between Chinese and U.S. cotton markets. This development is partly attributable to the fact that, in addition to importing large volumes of raw cotton, China also imports cotton yarn from the international market to meet the needs of its textile industry. When the relationship between the Chinese and U.S. cotton markets reaches a relative equilibrium, attention naturally shifts toward the pricing of cotton yarn, making it a focal point for both enterprises and investors.
Meanwhile, the responsiveness of U.S. cotton futures to Chinese cotton futures further intensified, reaching a value of 0.6 in the first period. This trend reflects the diminishing impact of the pandemic and the shifting focus of the China-U.S. trade tensions. It also corresponds with a series of domestic initiatives launched by China, including improvements to infrastructure in major cotton-producing regions, the enhancement of quality control throughout the cotton supply chain, targeted financial support at the regional level, and the implementation of centralized government procurement and subsidy programs. These policy interventions have collectively strengthened the resilience and stability of China’s cotton industry, restored market confidence, and effectively elevated China’s pricing influence in the global cotton market.
In Phase V, compared to the previous stage, Chinese cotton futures began to exhibit a clear response to cotton yarn futures prices, where no such response had been observed before. A plausible explanation is that the full retreat of pandemic-related disruptions led to a substantive recovery in end-user demand, revitalizing the cotton yarn market. This recovery enabled yarn producers to resume inventory restocking and cost pass-through practices, thereby enhancing the market influence of cotton yarn futures. Improved market liquidity further strengthened the price signaling capacity of cotton yarn futures, contributing to their increased impact on cotton futures pricing.
Conversely, the responsiveness of Chinese cotton yarn futures to Chinese cotton futures prices disappeared during this phase. This shift likely reflects a fundamental transformation in the pricing dynamics of the cotton yarn market. With the rebound in downstream consumption and the restored ability of producers to manage inventories and transfer costs, the price of cotton yarn has become increasingly driven by its own supply–demand fundamentals rather than upstream cotton costs. As a result, cotton yarn futures began to operate under an independent pricing logic, with greater market autonomy.
Additionally, the responsiveness of U.S. cotton futures to Chinese cotton futures declined markedly. This trend may be attributed to the acceleration of offshore relocation within China’s textile industry since 2023, which led to a reduction in China’s cotton import volumes and, consequently, a diminished global pricing influence of Chinese cotton futures. Furthermore, the release of state reserve cotton has increasingly aligned Chinese cotton futures prices with domestic policy adjustments rather than global market fundamentals, reducing the sensitivity of U.S. cotton futures to pricing signals from China.
Variance decomposition analysis is employed to determine the contribution rates of different factors to the dynamics of Chinese cotton futures, Chinese cotton yarn futures, and U.S. cotton futures markets, thereby assessing the relative importance of each market in explaining forecast error variance.
Table 5,
Table 6,
Table 7,
Table 8 and
Table 9 present the variance decomposition results for the three time series across the five distinct phases, covering the first 8 forecast periods.
As shown in
Table 5, during Phase I, the forecast error variance of Chinese cotton futures is entirely explained by its own innovations in the first period (100%). As the forecast horizon increases, the self-contribution rate gradually declines and stabilizes at 86.555% by period 4. Meanwhile, the contributions from Chinese cotton yarn futures and U.S. cotton futures increase over time, peaking at 0.469% and 12.976% in periods 4 and 5, respectively. For cotton yarn futures, only 28.887% of the forecast error variance in period 1 is explained by its own shocks, while a substantial 71.113% is attributed to Chinese cotton futures, indicating strong dependence. In contrast, U.S. cotton futures display a high level of self-explanatory power, with 89.941% of the variance in period 1 explained by its own shocks and 9.905% explained by Chinese cotton futures. The influence of cotton yarn futures on U.S. cotton futures is negligible. Overall, the variance decomposition results in Phase I suggest that the newly launched cotton yarn futures contract exerted limited influence within the broader cotton-related futures market, while it was already notably affected by U.S. cotton futures.
As shown in
Table 6, during Phase II, the forecast error variance of Chinese cotton futures remained entirely explained by its own innovations in period 1, gradually declining to a stable contribution rate of 86.555% by period 4. The contribution from Chinese cotton yarn futures increased relative to Phase I, stabilizing at 1.181% by period 5, while the contribution from U.S. cotton futures decreased accordingly, stabilizing at 9.411% by period 4.
For Chinese cotton yarn futures, the proportion of variance explained by its own shocks was 33.369% in period 1, with Chinese cotton futures accounting for the remaining 66.631%. As the forecast horizon increased, the contributions from both sources declined, stabilizing at 60.523% (own) and 29.973% (from Chinese cotton futures), while the contribution from U.S. cotton futures rose from 0.000% in period 1 to 9.504%. In the case of U.S. cotton futures, the variance was largely explained by its own shocks—86.888% in period 1, stabilizing at 86.478%. The contributions from Chinese cotton futures and Chinese cotton yarn futures stabilized at 11.337% and 2.185%, respectively.
Taken together, these findings suggest that during Phase II, as the cotton yarn futures market matured, its influence within the cotton-related futures system in China increased. Following the escalation of China-U.S. trade tensions, China’s implementation of diversified cotton import strategies and other countermeasures effectively reduced the influence of U.S. cotton futures on the Chinese cotton futures market. Meanwhile, cotton yarn futures both exerted and received greater influence from U.S. cotton futures. This indicates that the introduction of cotton yarn futures in China has further strengthened the country’s ability to manage risks and enhance price discovery mechanisms within the cotton industry, thereby contributing to the internationalization and growing influence of China’s cotton-related futures markets.
As shown in
Table 7, during Phase III, the forecast error variance of Chinese cotton futures in period 1 was still entirely explained by its own innovations (100%). However, as the forecast horizon extended, the contributions from Chinese cotton yarn futures and U.S. cotton futures stabilized at 2.360% and 15.091%, respectively. For Chinese cotton yarn futures, 41.898% of the forecast variance in period 1 was attributed to its own shocks, while 58.102% was explained by Chinese cotton futures. Over time, the contributions from the three markets stabilized at 52.709% (own), 38.350% (Chinese cotton futures), and 8.941% (U.S. cotton futures). Meanwhile, the contributions of Chinese cotton futures and cotton yarn futures to the variance of U.S. cotton futures stabilized at 8.162% and 2.037%, respectively, both showing a decline compared to Phase II.
These findings indicate that during this period, the pricing independence of China’s cotton yarn futures further increased. The outbreak of the COVID-19 pandemic contributed to a deeper fragmentation of the cotton industry chain between China and the United States, significantly weakening the pricing influence of Chinese cotton futures on U.S. cotton futures. Consequently, global cotton price discovery became increasingly centralized around the Intercontinental Exchange (ICE) in the United States.
As shown in
Table 8, during Phase IV, the forecast error variance of Chinese cotton futures was still entirely explained by its own shocks in period 1. As the forecast horizon extended, its self-contribution stabilized at 88.109%, while the contributions from Chinese cotton yarn futures and U.S. cotton futures stabilized at 0.018% and 11.873%, respectively. Compared with the previous phase, the influence of U.S. cotton futures on Chinese cotton futures showed a slight decline. For Chinese cotton yarn futures, 42.777% of the variance in period 1 was explained by its own shocks and 56.808% by Chinese cotton futures. Over time, the contributions stabilized at 51.190% (own), 38.675% (Chinese cotton futures), and 10.135% (U.S. cotton futures). Regarding U.S. cotton futures, 92.850% of the variance in period 1 was explained by its own shocks, with 7.150% attributed to Chinese cotton futures and 0% to Chinese cotton yarn futures.
These results suggest that during Phase IV, the autonomy of both Chinese cotton and cotton yarn futures markets increased. Despite this, the primary source of variation in cotton yarn futures remained Chinese cotton futures. The influence of both Chinese markets on U.S. cotton futures continued to diminish, highlighting a further divergence in cross-market transmission effects.
As shown in
Table 9, during Phase V, the forecast error variance of Chinese cotton futures in period 1 was still entirely explained by its own shocks. As the forecast horizon extended, its self-contribution stabilized at 93.905%, while contributions from Chinese cotton yarn futures and U.S. cotton futures stabilized at 0.088% and 6.006%, respectively. Compared to the previous phase, the influence of U.S. cotton futures on Chinese cotton futures further declined. For Chinese cotton yarn futures, 41.042% of the variance in period 1 was explained by its own shocks, while 57.022% was attributed to Chinese cotton futures. As the forecast period extended, contributions from the three markets stabilized at 54.373% (own), 41.042% (Chinese cotton futures), and 4.584% (U.S. cotton futures). Regarding U.S. cotton futures, the contribution from its own shocks was 90.025% in period 1, with 9.896% from Chinese cotton futures and only 0.079% from Chinese cotton yarn futures.
These findings suggest that in Phase V, the autonomy of both Chinese cotton and cotton yarn futures further improved. Although the influence of Chinese cotton futures on U.S. cotton futures increased slightly, it remained relatively limited overall, indicating that the global pricing power of China’s cotton-related futures markets had not yet undergone a fundamental shift.
Based on the variance decomposition results across the three futures markets over the five phases, the following conclusions can be drawn:
First, the contribution of U.S. cotton futures to Chinese cotton futures remained around 10% before and after the onset of the China-U.S. trade friction and the COVID-19 pandemic. Notably, following the escalation of trade tensions, the influence of U.S. cotton futures on Chinese cotton futures actually declined. This may be attributed to China’s proactive policy responses aimed at mitigating the impact of U.S. tariff barriers on key domestic industries. As a strategic commodity, cotton was prioritized in policy protections. By the time the U.S. imposed its second round of tariffs on cotton and related textile products, China had already implemented measures to cushion the impact—such as stabilizing and increasing domestic cotton production and diversifying imports from other major cotton-producing countries—to reduce exposure to price volatility in the global cotton market. With the outbreak of COVID-19, domestic cotton production in China experienced some disruption, which in turn negatively affected the downstream textile industry. Simultaneously, India—another major cotton producer—suffered from severe labor shortages due to the pandemic, reducing cotton cultivation. As a result, orders from Western textile companies shifted toward China, increasing China’s demand for raw cotton. Given the high level of mechanization in the U.S. cotton industry, its production was less affected by the pandemic, prompting China to continue importing large volumes of U.S. cotton to meet industrial needs. Consequently, the influence of U.S. cotton futures on Chinese cotton futures increased during this phase. However, as the pandemic receded and sanctions related to cotton and textiles eased, China’s domestic cotton output steadily recovered, market confidence rebounded, and the independence of Chinese cotton futures strengthened.
Second, since its launch, China’s cotton yarn futures market has been influenced by both domestic cotton futures and U.S. cotton futures. Initially, limited market maturity, investor hesitation, and insufficient hedging participation by relevant enterprises led to poor liquidity and a weak correlation with cotton futures prices. During this early stage, price fluctuations were primarily self-driven. As the market matured, with greater investor engagement and improved functionality in price discovery and risk hedging, the linkage between cotton yarn and domestic cotton futures strengthened significantly. Moreover, as the United States is China’s largest importer of textile products, U.S. cotton futures increasingly influence Chinese cotton yarn futures indirectly through their impact on Chinese cotton futures. The heightened market uncertainty brought on by the trade war and the pandemic further incentivized stakeholders to use cotton yarn futures for risk management. As a key downstream product in the cotton value chain, cotton yarn futures gradually exhibited more dependency on upstream cotton prices. However, with the dissipation of adverse market conditions and a cooling of speculative enthusiasm, trading volumes in the cotton yarn futures market declined sharply, contributing to a partial recovery of its pricing independence.
Third, U.S. cotton futures have consistently exhibited a high degree of autonomy. Particularly in the wake of the U.S.-China trade conflict and the COVID-19 pandemic, the interdependence between the Chinese and U.S. cotton markets weakened. The influence of Chinese cotton-related futures on U.S. cotton futures further diminished. Although some level of interconnection was reestablished after market stabilization, China’s cotton futures markets remained in a relatively passive position in the transmission of global cotton price shocks, continuing to lack significant pricing power.
3.6. Volatility Spillovers Between Chinese and U.S. Cotton and Cotton Yarn Futures Markets
Before establishing the GARCH model, it is essential to ensure the model’s appropriateness by testing for the presence of ARCH effects in the residuals. ARCH effects are used to evaluate volatility clustering in time series data—that is, the tendency for large changes in asset prices to be followed by large changes, and small changes to be followed by small changes, indicating temporal dependence in volatility.
Given that the autocorrelation function (ACF) and partial autocorrelation function (PACF) of the three futures return series exhibit trailing characteristics, ARMA(p, q) models are employed to fit the return series of the Chinese cotton futures, Chinese cotton yarn futures, and U.S. cotton futures markets. The optimal lag orders (p and q) for each ARMA model are determined based on autocorrelation patterns and information criteria. Subsequently, the residuals from each fitted model are subjected to the Lagrange Multiplier (LM) test for serial correlation and the ARCH test for heteroskedasticity. As shown in
Table 10, the LM test results indicate that none of the three return series exhibit significant autocorrelation (
p-values > 0.05), whereas all three series demonstrate significant ARCH effects (
p-values < 0.05), confirming the presence of conditional heteroskedasticity. Therefore, it is appropriate to proceed with further analysis using the BEKK-GARCH model.
To further investigate the bilateral volatility spillover effects among the three futures markets, this study employs the BEKK-GARCH(1,1) model, estimated using the WinRATS 7.0 time-series regression software. The BFGS algorithm is selected for optimization, and Student’s t-distribution is applied to better capture the empirical distributional characteristics of the data. The estimation results of the BEKK-GARCH parameters are presented in
Table 11. It is important to note that the magnitude of individual coefficients in the BEKK-GARCH model is not directly interpretable; thus, the Wald test is utilized to examine the statistical significance and directional implications of volatility spillovers among the futures markets. The Wald test results are summarized in
Table 12.
(1) In Phase I, at the 1% significance level, coefficients A(1,1), A(2,2), A(3,3), B(1,1), B(2,2), and B(3,3) are statistically significant, indicating that price volatilities in China’s cotton futures, cotton yarn futures, and U.S. cotton futures all exhibit pronounced ARCH and GARCH effects. In other words, both short-term shocks and long-term volatility persistence from previous periods significantly influence current price fluctuations in these markets.
Moreover, coefficients A(1,2), A(2,1), and B(2,1) are also significant at the 1% level, coefficient B(1,2) is statistically insignificant at the 10% significance level, implying that China’s cotton futures exhibit a negative ARCH-type volatility spillover to cotton yarn futures, whereas cotton yarn futures exert both a negative ARCH-type and a positive GARCH-type spillover to cotton futures. This suggests that new information shocks in either market reduce volatility in the other, while the historical volatility of cotton yarn futures tends to amplify fluctuations in cotton futures. Based on the Wald test, hypotheses 1, 2, and 3 are rejected at the 1% significance level, confirming the existence of bidirectional volatility spillovers between China’s cotton and cotton yarn futures. Furthermore, the magnitude of spillovers from cotton yarn to cotton is greater—likely due to the high volatility and risk associated with the newly launched cotton yarn futures contract during this early phase of market development.
In addition, coefficients A(3,1), B(1,3), and B(3,1) are statistically significant at the 1% level, coefficient A(1,3) is statistically insignificant at the 10% significance level, and Wald test hypotheses 4, 5, and 6 are rejected, indicating bidirectional volatility spillovers between China’s cotton futures and U.S. cotton futures. Notably, China’s cotton futures exert a positive GARCH-type spillover effect on U.S. cotton futures, and the spillover from China to the U.S. is stronger in magnitude.
In contrast, only B(3,2) is significant among the coefficients involving China’s cotton yarn futures and U.S. cotton futures, while A(2,3), A(3,2), and B(2,3) are not statistically significant. Additionally, Wald test hypotheses 7, 8, and 9 cannot be rejected, suggesting that there is no clear bidirectional volatility spillover between these two markets. A unidirectional GARCH-type spillover from U.S. cotton futures to China’s cotton yarn futures is observed, likely because the latter market was still underdeveloped and had not yet established a strong linkage with international cotton price dynamics during this phase.
(2) In Phase II, coefficients A(1,1), A(2,2), B(1,1), B(2,2), and B(3,3) are statistically significant at the 1% level, coefficient A(3,3) is statistically insignificant at the 10% significance level, indicating that China’s cotton and cotton yarn futures continue to exhibit strong ARCH and GARCH effects, while the volatility of U.S. cotton futures is driven primarily by GARCH effects.
Significance in A(1,2) and B(1,2), along with the rejection of Wald Hypothesis 1, and coefficient A(2,1), B(2,1) is statistically insignificant at the 10% significance level, suggesting that China’s cotton futures exert unidirectional ARCH- and GARCH-type volatility spillovers on cotton yarn futures. This indicates that, as cotton yarn futures matured, they became increasingly influenced by price volatility originating from upstream cotton markets.
The spillover relationship between Chinese and U.S. cotton futures remains directionally consistent with that of Phase I. However, in contrast to the previous phase, the volatility clustering effect from U.S. cotton futures to China’s cotton yarn futures becomes more evident, while its long-term persistence fades—reflecting a shift in the nature of cross-market influences as market conditions evolved.
(3) In Phase III, the coefficients A(1,1), A(3,3), B(2,2), and B(3,3) are statistically significant at the 1% level, while A(2,2) is significant at the 5% level. During this phase, the volatility persistence of China’s cotton futures is found to be insignificant, which may be attributed to the disruption caused by the COVID-19 pandemic. The volatility characteristics of China’s cotton futures became disordered, weakening the persistence of the impact from past information on current price movements.
Moreover, the significance of A(2,1) at the 5% level and B(1,2) at the 1% level, along with the rejection of hypotheses 1, 2, and 3 in the Wald test, suggest the presence of bidirectional volatility spillover effects between China’s cotton futures and cotton yarn futures during this phase.
The significance of A(3,1) and B(3,1) at the 1% level, whereas A(1,3) and B(1,3) show no statistical significance at the 10% level, coupled with the rejection of Hypothesis 2, indicates that the U.S. cotton futures market served as the primary transmitter of volatility to China’s cotton market in this period. As the pandemic spread globally, China achieved effective domestic containment while the U.S. cotton futures market experienced increasing instability, reinforcing the role of the U.S. as the main source of external risk spillovers.
(4) In Phase IV, A(1,1) and A(3,3) are significant at the 10% level, A(2,2) at the 5% level, and B(1,1) and B(2,2) at the 1% level. The coefficients A(1,2) and B(2,1) are also significant at the 5% level, and hypotheses 1, 2, and 3 are rejected based on the Wald test, whereas A(2,1) and B(1,2) show no statistical significance at the 10% level. These results indicate the presence of ARCH-type volatility spillovers from cotton futures to cotton yarn futures in China, implying that past volatility in cotton futures significantly influences the volatility of cotton yarn futures. Furthermore, a unidirectional GARCH-type volatility spillover from cotton yarn futures to cotton futures is observed, suggesting that new information in the cotton yarn market dampens short-term fluctuations in cotton futures.
This pattern may be explained by the post-pandemic recovery in China, during which overseas orders resumed and yarn mills rushed to secure raw material costs. The short-term volatility in cotton futures, driven by procurement sentiment, had a direct impact on cotton yarn futures, whose prices also directly reflect downstream textile demand. As the pandemic gradually subsided, clothing consumption began a slow and steady recovery, while the relatively low liquidity in the cotton yarn futures market contributed to more persistent volatility
Additionally, A(3,1) is significant at the 1% level, whereas A(1,3), B(1,3), B(3,1) show no statistical significance at the 10% level, and Hypothesis 2 is rejected in the Wald test, indicating that the U.S. cotton futures market exerts a unidirectional ARCH-type volatility spillover on China’s cotton futures. This may stem from China’s rigid dependence on cotton imports and herd behavior in the futures market, rendering China’s cotton futures a “passive recipient” of short-term volatility from the U.S. market. Moreover, China’s policy tools, due to implementation lags, can only mitigate medium- to long-term volatility (GARCH effects) and are less effective in buffering short-term ARCH shocks
The significance of A(2,3) and A(3,2) further reveals bidirectional ARCH-type volatility spillovers between U.S. cotton futures and China’s cotton yarn futures, suggesting that historical volatility in either market significantly influences the contemporaneous volatility in the other.
(5) In Phase V, A(1,1), B(1,1), and B(3,3) are significant at the 5% level, while A(2,2) and B(2,2) are significant at the 1% level. Based on the BEKK-GARCH model estimates and the Wald test results, there is no significant volatility spillover between China’s cotton futures and cotton yarn futures. With the waning impact of COVID-19 and the easing of China-U.S. trade tensions, China’s domestic cotton production became relatively stable. The policy of reserve cotton rotation increased market supply, and the import quota mechanism likely helped regulate the timing of cotton imports. On the demand side, yarn production capacity remained excessive, especially during periods of weak demand, and spinning mills operated at relatively low utilization rates.
The absence of strong shocks on either the supply or demand side reduced the sources and transmission channels of price volatility. However, A(3,1) and B(3,1) are significant at the 1% level, and A(3,2) and B(3,2) are significant at the 5% level, whereas A(1,3), B(1,3), A(2,3), B(2,3) show no statistical significance at the 10% level, while hypotheses 5 and 8 are rejected. These findings indicate that U.S. cotton futures exert unidirectional volatility spillovers on both China’s cotton and cotton yarn futures. This phenomenon may be explained by the global supply chain restructuring and weak domestic demand in China following the “dual downturn” of 2023. As a result, China’s cotton-related futures markets exhibited limited global price-setting power and became more susceptible to unidirectional risk spillovers from the U.S. cotton futures market.