## _wp1663

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### Key results and context
- The analysis employs a Global VAR (GVAR) framework comprising 26 region-specific VARX* models within a sample of 33 economies, which together cover more than90%of world GDP.
- Country-specific VARX*(p_i,q_i) lag orders are selected by the Akaike Information Criterion (AIC) with maximum lag orders set top_max= 2 andq_max= 1.
- The univariate financial stress index (FSI_t) model lag order is selected as(2;1)based on the AIC.
- Cointegrating relations (r_i) are selected using trace test statistics with 95% critical values from MacKinnon (1991); in some countries r_i was reduced below the trace-statistic suggestion to ensure well-behaved persistence profiles and global-model stability.

### Lag orders and cointegrating relations (country-specific)
- Argentina: p_i 2 q_i 1 relations (r_i) 1
- Australia: p_i 2 q_i 1 relations (r_i) 4
- Brazil: p_i 1 q_i 1 relations (r_i) 1
- Canada: p_i 1 q_i 1 relations (r_i) 3
- China: p_i 1 q_i 2 relations (r_i) 2
- Chile: p_i 2 q_i 1 relations (r_i) 3
- Euro Area: p_i 2 q_i 1 relations (r_i) 2
- India: p_i 2 q_i 1 relations (r_i) 2
- Indonesia: p_i 2 q_i 1 relations (r_i) 3
- Japan: p_i 1 q_i 1 relations (r_i) 4
- Korea: p_i 1 q_i 3 relations (r_i) 3
- Malaysia: p_i 1 q_i 2 relations (r_i) 2
- Mexico: p_i 1 q_i 3 relations (r_i) 3
- Norway: p_i 2 q_i 1 relations (r_i) 3
- New Zealand: p_i 2 q_i 1 relations (r_i) 3
- Peru: p_i 2 q_i 1 relations (r_i) 2
- Philippines: p_i 2 q_i 1 relations (r_i) 2
- South Africa: p_i 2 q_i 1 relations (r_i) 1
- Saudi Arabia: p_i 2 q_i 1 relations (r_i) 1
- Singapore: p_i 2 q_i 1 relations (r_i) 2
- Sweden: p_i 2 q_i 1 relations (r_i) 3
- Switzerland: p_i 2 q_i 1 relations (r_i) 2
- Thailand: p_i 1 q_i 1 relations (r_i) 2
- Turkey: p_i 1 q_i 3 relations (r_i) 3
- UK: p_i 1 q_i 3 relations (r_i) 3
- USA: p_i 2 q_i 1 relations (r_i) 2

### Model specification and variables
- Country domestic variable vector x_it includes up to six variables: y_it (log real GDP), π_it (inflation), eq_it (log real equity prices), r_Sit (short-term interest rate), r_Lit (long-term interest rate), ep_it (real exchange rate).
- Foreign variables x*_it are cross-sectional averages constructed with bilateral weights w_ij; alternative weights explored include trade, trade in value added (TiVa), and financial weights.
- The United States model excludes foreign financial variables eq*_US,t, r*_SUS,t, and r*_LUS,t; the U.S. model includes e*_US,t - p*_US,t as a weakly exogenous foreign variable instead of the real exchange rate.
- A common financial stress index (FSI_t) is included as a weakly exogenous common variable in all country models, with allowance for feedback effects from macro variables; oil price (log nominal oil price in U.S. dollars) is also included as a common variable.

### Empirical findings — effects of a 1 percent permanent negative GDP shock in China
- Global aggregate effects (GVAR estimated over 1981Q1–2013Q1):
  - Global growth reduces by0:23percentage points in the short-run following a one percent permanent negative Chinese GDP shock.
  - Oil prices fall by around2:8%in the long run.
  - Evidence of falls in global inflation and short-term interest rates; the median effect on global equity prices is negative but not statistically significant.
- Country/region-specific average annual output elasticities over the first year (following a 1% permanent negative Chinese GDP shock):
  - ASEAN-5 countries (Indonesia, Malaysia, Philippines, Singapore, Thailand): large and statistically significant impacts for all except the Philippines; output elasticities range between 0:23and 0:35percent.
  - Other Asia-Pacific countries (except India): statistically significant elasticities ranging between 0:06and 0:17percent.
  - India: negligible spillover (output reduction less than0:1 percent after one year), reflecting weak trade links with China.
  - Systemic economies (average elasticities): euro area  0:12percent, U.K.  0:04percent, U.S.  0:07percent.
- Robustness to alternative weight constructions:
  - Elasticity magnitudes are very similar when foreign variables x*_it are constructed using trade weights (Trade), trade in value added weights (TiVa), or mixed (trade for y*_it and π*_it; financial weights for eq*_it, r*_Sit, r*_Lit). Choice of weights is of second-order importance; trade weights retained for main results.

### Effects of a surge in global financial market volatility (FSI_t shock)
- Shock definition:
  - A one standard deviation increase in the financial stress index (FSI_t) is used to represent a surge in global financial market volatility.
- Global aggregate impacts (short-run, first four quarters unless noted):
  - World output falling by around0:29%below the pre-shock level on average over the first year.
  - Negative peak effects in the first quarter after the shock: global equity prices  3:7%, oil prices  6:5%, long-term interest rates  0:03%.
  - The FSI_t index measures price movements relative to trend with a historical average value of zero; the magnitude of the shock is comparable to the 2002 episode of market volatility in advanced economies and is much smaller than the Global Financial Crisis shock.
- Country-level responses (average output responses over the first year):
  - Asia: output falls between0:17and0:47percent below the pre-shock level; effects statistically significant for all countries except Korea.
  - China: real output falls by around0:17percent on average over the first year.
  - Japan: real output falls by around0:37percent on average over the first year.
  - Australia and New Zealand (commodity exporters): output falls by0:17and0:21percent respectively.
  - India (large commodity importer): real output falls by about0:19percent on average over the first year.
  - Euro area, U.K., U.S.: output falls by0:32,0:24and0:31percent respectively.
- Robustness and channel identification:
  - Heterogeneities reflect trade and financial linkages.
  - Alternative configurations of cross-country linkages (bilateral trade weights, trade in value weights, mixed trade-financial weights) yield generally similar magnitudes and directions of impulse responses.

### Time variation and comparative magnitudes
- Median generalized impulse responses to a one standard deviation fall in China’s GDP are reported quarterly; figures show larger median effects for 2002/07/12 weights versus 1980s/1990s weights.
- Estimates based on trade weights from the 1980s and 1990s are not statistically significant, whereas estimates based on the 2002/07/12 weights are significant.
- Median effects of a Chinese GDP shock are generally much larger than those of three decades ago, reflecting China’s growing role in the global economy and evolving trade linkages.

### Policy-relevant implications
- China’s slowdown generates negative spillovers to the rest of the world, with considerable cross-country heterogeneity and larger effects for countries with large trade exposures to China.
- Growth-spillover elasticities have become larger over time due to evolving trade patterns and China’s expanding role in world commodity markets.
- A sharp increase in global financial market volatility can lead to a short-run global growth decline of around0:29percentage points and significant negative spillovers to emerging market economies through trade and financial channels.
- Policy considerations implied by results:
  - Countries with strong trade exposures to China and those sensitive to commodity-price fluctuations should account for larger spillovers from Chinese growth shocks.
  - Sound fundamentals and policy frameworks are important but may not fully insulate countries from sudden global financial market volatility, especially amid monetary policy normalization uncertainty in advanced economies.
  - Monitoring and preparing for commodity-price and financial-stress channels can help mitigate short-run adverse effects on output and inflation.

*Source: IMF Working Paper content unit _wp1663 - References and related figures/results as reported in the source.*

### References .............................................................................................................

### _wp1663 - References ...............................................................................................................

### Figures

- 1. Average Output Elasticities Over the First Year Following a Negative GDP Shock in China  (Using Various Weights) ........................................................................................................ 12
- 2. Average Output Elasticities Over the First Year Following a Negative GDP Shock in China (Using Time-Varying Bilateral Trade Weights)  .................................................................... 13
- 3. Implications of a Negative China GDP Shock for the Global Economy ............................ 14
- 4. Implications of an Increase in Financial Market Volatility for the Global Economy ......... 16
- 5. Average Output Responses to an Increase in Global Financial Market Volatility over the  First Year (Using Various Weights)........................................................................................ 16

### Tables

- 1. Countries and Regions in the GVAR Model ......................................................................... 8

*Source: _wp1663 - References.*

### 2. Lag Orders of the Country-Specific VARX*(p,q) Models Together with the Number of

### 2. Lag Orders of the Country-Specific VARX*(p,q) Models Together with the Number of

### Key results and context
- The analysis employs a Global VAR (GVAR) framework comprising 26 region-specific VARX* models within a sample of 33 economies, which together cover more than90%of world GDP.
- Country-specific VARX*(p_i,q_i) lag orders are selected by the Akaike Information Criterion (AIC) with maximum lag orders set top_max= 2 andq_max= 1.
- The univariate financial stress index (FSI_t) model lag order is selected as(2;1)based on the AIC.
- Cointegrating relations (r_i) are selected using trace test statistics with 95% critical values from MacKinnon (1991); in some countries r_i was reduced below the trace-statistic suggestion to ensure well-behaved persistence profiles and global-model stability.

### Lag orders and number of cointegrating relations (Table 2 items)
- Argentina: p_i 2 q_i 1 relations (r_i) 1
- Australia: p_i 2 q_i 1 relations (r_i) 4
- Brazil: p_i 1 q_i 1 relations (r_i) 1
- Canada: p_i 1 q_i 1 relations (r_i) 3
- China: p_i 1 q_i 2 relations (r_i) 2
- Chile: p_i 2 q_i 1 relations (r_i) 3
- Euro Area: p_i 2 q_i 1 relations (r_i) 2
- India: p_i 2 q_i 1 relations (r_i) 2
- Indonesia: p_i 2 q_i 1 relations (r_i) 3
- Japan: p_i 1 q_i 1 relations (r_i) 4
- Korea: p_i 1 q_i 3 relations (r_i) 3
- Malaysia: p_i 1 q_i 2 relations (r_i) 2
- Mexico: p_i 1 q_i 3 relations (r_i) 3
- Norway: p_i 2 q_i 1 relations (r_i) 3
- New Zealand: p_i 2 q_i 1 relations (r_i) 3
- Peru: p_i 2 q_i 1 relations (r_i) 2
- Philippines: p_i 2 q_i 1 relations (r_i) 2
- South Africa: p_i 2 q_i 1 relations (r_i) 1
- Saudi Arabia: p_i 2 q_i 1 relations (r_i) 1
- Singapore: p_i 2 q_i 1 relations (r_i) 2
- Sweden: p_i 2 q_i 1 relations (r_i) 3
- Switzerland: p_i 2 q_i 1 relations (r_i) 2
- Thailand: p_i 1 q_i 1 relations (r_i) 2
- Turkey: p_i 1 q_i 3 relations (r_i) 3
- UK: p_i 1 q_i 3 relations (r_i) 3
- USA: p_i 2 q_i 1 relations (r_i) 2

### Model specification and variables
- Country domestic variable vector x_it includes up to six variables: y_it (log real GDP), π_it (inflation), eq_it (log real equity prices), r_Sit (short-term interest rate), r_Lit (long-term interest rate), ep_it (real exchange rate).
- Foreign variables x*_it are cross-sectional averages constructed with bilateral weights w_ij; alternative weights explored include trade, trade in value added (TiVa), and financial weights.
- The United States model excludes foreign financial variables eq*_US,t, r*_SUS,t, and r*_LUS,t; the U.S. model includes e*_US,t - p*_US,t as a weakly exogenous foreign variable instead of the real exchange rate.
- A common financial stress index (FSI_t) is included as a weakly exogenous common variable in all country models, with allowance for feedback effects from macro variables; oil price (log nominal oil price in U.S. dollars) is also included as a common variable.

### Empirical findings: effects of a one percent permanent negative GDP shock in China
- Global aggregate effects (GVAR estimated over 1981Q1–2013Q1):
  - Global growth reduces by0:23percentage points in the short-run following a one percent permanent negative Chinese GDP shock.
  - Oil prices fall by around2:8%in the long run.
  - Evidence of falls in global inflation and short-term interest rates; the median effect on global equity prices is negative but not statistically significant.
- Country/region-specific average annual output elasticities over the first year (following a 1% permanent negative Chinese GDP shock):
  - ASEAN-5 countries (Indonesia, Malaysia, Philippines, Singapore, Thailand): large and statistically significant impacts for all except the Philippines; output elasticities range between 0:23and 0:35percent.
  - Other Asia-Pacific countries (except India): statistically significant elasticities ranging between 0:06and 0:17percent.
  - India: negligible spillover (output reduction less than0:1 percent after one year), reflecting weak trade links with China.
  - Systemic economies (average elasticities): euro area  0:12percent, U.K.  0:04percent, U.S.  0:07percent.
- Robustness to alternative weight constructions:
  - Elasticity magnitudes are very similar when foreign variables x*_it are constructed using trade weights (Trade), trade in value added weights (TiVa), or mixed (trade for y*_it and π*_it; financial weights for eq*_it, r*_Sit, r*_Lit). Choice of weights is of second-order importance; trade weights retained for main results.

### Effects of a surge in global financial market volatility (FSI_t shock)
- A one standard deviation shock to the financial stress index translates into:
  - World output falling by around0:29%below the pre-shock level on average over the first year.
  - Negative peak effects in the first quarter after the shock: global equity prices  3:7%, oil prices  6:5%, long-term interest rates  0:03%.
- The FSI_t index measures price movements relative to trend with a historical average value of zero; the magnitude of the shock is comparable to the 2002 episode of market volatility in advanced economies and is much smaller than the Global Financial Crisis shock.

*Source: Author’s estimations as reported in the specified content unit.*

### 2012. Figure 2 shows that based on trade weights more than 30 years ago, a negative Chinese

### _wp1663 - 2012. Figure 2 shows that based on trade weights more than 30 years ago, a negative Chinese

### A. Global effects of a negative Chinese GDP shock
- Median generalized impulse responses are computed to a one standard deviation fall in China’s GDP; impact reported in percentage and horizon is quarterly.
- Global growth impact:
  - Following a permanent1%negative Chinese GDP shock, global growth reduces by0:23%in the short run.
- Commodity prices and channels:
  - Oil prices fall by2:8percent below their pre-shock levels in response to a negative China output shock.
  - China’s rebalancing affects commodity-exporting economies mainly through global demand for commodities and associated prices, translating into lower overall economic growth for those countries.
- Other macro variables:
  - There is evidence for a short-run fall in both global inflation and short-term interest rates.
  - The median effect on global equity prices is negative but not statistically significant.
- Time-varying spillovers:
  - Estimates based on trade weights from the 1980s and 1990s are not statistically significant, whereas estimates based on the 2002/07/12 weights are significant.
  - Median effects of a Chinese GDP shock are generally much larger than those of three decades ago, reflecting China’s growing role in the global economy and evolving trade linkages.
- Cross-country heterogeneity (short-run elasticities / percentage points):
  - ASEAN-5 countries (except the Philippines): growth elasticities range between 0:23and 0:35percentage points (largest impact).
  - Other Asia-Pacific countries (except India): effects statistically significant and fall between 0:06and 0:17percentage points.
  - Systemic countries (average elasticities): euro area 0:12, U.K. 0:04, U.S. 0:07percentage points.

### B. Effects of a surge in global financial market volatility
- Shock definition:
  - A one standard deviation increase in the financial stress index (FSI_t) is used to represent a surge in global financial market volatility.
- Global aggregate impacts (short-run, first four quarters unless noted):
  - World output falls on average by0:29%below the pre-shock level in the first four quarters after the surge; this effect is statistically significant.
  - Oil prices fall by6:5% (peak effect in the first quarter).
  - Global equity prices fall by3:7% (peak effect in the first quarter).
  - Long-term interest rates fall by0:03% (peak effect in the first quarter).
  - Widening of the output gap and lower commodity prices likely moderate global inflation slightly.
- Country-level responses (average output responses over the first year; 16th and 84th percentile error bands reported in figures):
  - Asia: output falls between0:17and0:47percent below the pre-shock level; effects statistically significant for all countries except Korea.
  - China: real output falls by around0:17percent on average over the first year.
  - Japan: real output falls by around0:37percent on average over the first year.
  - Australia and New Zealand (commodity exporters): output falls by0:17and0:21percent respectively, reflecting the commodity-price channel.
  - India (large commodity importer): real output falls by about0:19percent on average over the first year.
  - Euro area, U.K., U.S.: output falls by0:32,0:24and0:31percent respectively.
- Robustness and channel identification:
  - Heterogeneities reflect trade and financial linkages.
  - Alternative configurations of cross-country linkages (bilateral trade weights, trade in value weights, mixed trade-financial weights) yield generally similar magnitudes and directions of impulse responses.

### C. Methodology and scope
- Model and sample:
  - A GVAR model is estimated for 26 countries/regions over the period 1981Q1–2013Q1.
- Impulse response reporting:
  - Figures report median generalized impulse responses together with the 16th and 84th percentile error bands; impact measured in percentage and horizon is quarterly.
- Auxiliary notes:
  - Figures showing statistical significance for different weights are not reported in the text but are available from the authors upon request.

### D. Concluding remarks and policy-relevant implications
- Overall findings:
  - China’s slowdown generates negative spillovers to the rest of the world, with considerable cross-country heterogeneity and larger effects for countries with large trade exposures to China.
  - Growth-spillover elasticities have become larger over time due to evolving trade patterns and China’s expanding role in world commodity markets.
  - A sharp increase in global financial market volatility can lead to a short-run global growth decline of around0:29percentage points and significant negative spillovers to emerging market economies through trade and financial channels.
- Policy implications (implicit from results):
  - Countries with strong trade exposures to China and those sensitive to commodity-price fluctuations should account for larger spillovers from Chinese growth shocks.
  - Sound fundamentals and policy frameworks are important but may not fully insulate countries from sudden global financial market volatility, especially amid monetary policy normalization uncertainty in advanced economies.
  - Monitoring and preparing for commodity-price and financial-stress channels can help mitigate short-run adverse effects on output and inflation.

*Italic: IMF Working Paper content unit _wp1663 - 2012 (figures and numerical results as reported in the source).*

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_Source: https://www.imf.org/-/media/websites/imf/imported-full-text-pdf/external/pubs/ft/wp/2016/_wp1663.pdf_
