Business Cycle Accounting: China vs. India
Christer Ljungwall* and Gao Xu**
*China Center for Economic Research, CCER, and the Stockholm School of Economics. ** World Bank Office, Beijing, China (EASPR). The findings, interpretations, and conclusions expressed in this paper are entirely those of the authors. They do not necessarily represent the view of the World Bank, its Executive Directors, or the countries they represent.
Outline
Motivation Literature Review Quantitative Method (Business Cycle Accounting) Benchmark Model Accounting Procedures Empirical Findings Comparison of Business Cycle Facts Comparison of Business Cycle Accounting Results Conclusions
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Motivation
The rise of China and India is one of the most significant economic developments in nowadays
Great achievement of human development: better life for 1/3 of world population Major representatives of emerging markets: BRIC Big players in the global market: made-in-China, service outsourcing into India
Similar development path of China and India
Start point: planned economy of China and rigid state control in India Market oriented reform and integration into the world economy
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Motivation
Differences between China and India
Average growth: 9.8% of China vs. 3.4% of India Investment-led growth pattern of China vs. consumption-led growth in India Strong competitiveness of China’s manufacturing sector vs. advantages of service outsourcing in India
It is of both theoretic and practical interest to compare China and India within a rigorous quantitative framework
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Literature Review
Business Cycle Accounting (BCA)
Proposed by Mulligan(2002) and Chari, Kehoe and McGratten (2007) A DSGE model with time varying wedges Measure the wedges so the model replicates data exactly. Inspect measured wedges to analysis shocks. Application: Chakraborty (2004), Kobayashi and Inaba (2006) to investigate Japan’s recession. Lama (2005) used it to identify business cycle sources for Argentina, Brazil and Mexico. Cavalcanti (2004)
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Literature Review
Business cycle research on Chinese economy
Descriptive study and summary statistic calculations: Qian (2004), Lu and Qi (2006), Liu (2006) SVAR: Zhang and Wan (2005), Xu (2007)
Little quantitative research on Indian business cycle fluctuation
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Benchmark Model
Model setup
max t t ( s t )U (ct ( s t ), lt ( s t ))
ct ,lt , xt t 0 st
Household
s.t. ct ( s t ) [1 xt ( s t )]xt ( s t ) [1 lt ( s t )]wt ( s t )lt ( s t ) rt ( s t )kt ( s t 1 ) tt ( s t ) (1 )kt 1 ( s t ) (1 ) kt ( s t 1 ) xt ( s t )
Firm
{kt ( s ),lt ( s )}
max t At ( s t ) F (kt ( s t 1 ), lt ( s t )) rt ( s t )kt ( s t 1 ) wt ( s t )lt ( s t ) t
ct ( s t ) xt ( s t ) g t ( s t ) yt ( s t )
Resource constraint
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Benchmark Model
Four wedges (shocks)
At ( s t ) Efficiency wedge
frictions which cause inputs to be used inefficiently financial frictions, etc. sticky wage, powerful labor union, etc. government consumption, net exports
investment wedge 1/[1 xt ( s t )] [0,1]
1 lt ( s t ) [0,1] labor wedge
gt ( s t ) government (exogenous demand) wedge
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Benchmark Model
Equilibrium conditions
Optimal condition for consumption-leisure choice U lt ( s t ) U ct ( s t ) [1 lt ( s t )] At ( s t ) Flt ( s t ) Euler equation
U ct ( s t )(1 )[1 xt ( s t )]
st 1
( s t 1 | s t )U ct 1 At 1 ( s t 1 ) Fkt 1 ( s t 1 ) (1 )[1 xt 1 ( s t 1 )]
Production technology
yt ( s t ) At ( s t ) F (kt ( s t 1 ), lt ( s t ))
Resource constraint
ct ( s t ) xt ( s t ) g t ( s t ) yt ( s t )
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Accounting Procedures
Shocks
st [at xt lt
st 1 Hst t 1 gt ], st 1 ~ i.i.d. N (0,V ), V QQ
Estimation of wedges
Log-linearize equilibrium conditions Solve linearized system with Blanchard-Kahn (1980) method Use Kalman filter to write likelihood function Estimate parameters with MLE combined with prior from long-run relationships (Bayesian approach) Estimate wedges with Kalman smoothing algorithm
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Accounting Procedures
Counterfactual experiments
Marginal effect of each wedge: let one wedge fluctuate and keep the rest fixed, and simulate. Effect of a combination of wedges: let a subset of wedges fluctuate and keep the rest fixed, and simulate. Annual GDP by expenditure data, deflate nominal variables with GDP deflator to construct real series. 4 observation series (to avoid singularity problem): GDP, private consumption, investment, government consumption plus net exports (all are log deviations from their HP trends).
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Data
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Comparison of Business cycle Facts
Growth rate
China: high and persistent India: relatively low
Real GDP Growth 20 15
Real GDP growth (%)
10 5 0 -5 China -10 India
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
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2006
12
Comparison of Business cycle Facts
Expenditure structure
China: significant role of investment India: predominant role of private consumption Similarity: Shrinking relative size of private consumption
China: Real GDP Growth and GDP Decomposition 16 14
Different Expenditure Structure in 2006 Unit: percent of GDP China India
Private Consumption Investment Government Consumption 1/ 1/ Net export is included.
India: Real GDP growth and GDP decomposition 90 80 9 8 7 6 5 4 3 2 1 0 -1 -2
36 43 21
59 32 9
60 50
Share in GDP (%)
70 60 50 40 30 20 10 0
Share in GDP (%)
12 40 30 20 10 0 10 8 6 4 2 0
Real grwoth (%)
1980/81
1982/83
1984/85
1986/87
1988/89
1990/91
1992/93
1994/95
1996/97
1998/99
2000/01
2002/03
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
Real GDP growth (RHS) Investment
Private consumption Government consumption plus net exports
Real GDP growth (RHS) Investment
Private consumption Government consumption plus net exports
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2004/05
Real growth (%)
Comparison of Business cycle Facts
Business cycle fluctuation
China: big output fluctuation, even bigger consumption volatility, high output persistence, investment lag output India: small output fluctuation, smaller consumption volatility, less output persistence, investment co-moves with output
A. China: 1978-2006 variables Output Private Consumption Investment Government Consumption 2/ B. India: 1980/81-2005/06 variables Output Private Consumption Investment Government Consumption 2/ SD% 1.70 1.43 7.38 7.80 Cross Correlation of Output with variable at Lag k= -2 .01 - .09 .12 - .45 -1 .32 .02 .53 - .11 0 1.00 .70 .64 .00 1 .32 .20 .13 .41 2 .01 .10 - .14 .09 SD% 3.20 4.13 8.02 8.98 Cross Correlation of Output with variable at Lag k= -2 .17 - .09 - .48 - .10 -1 .72 .28 - .17 - .18 0 1.00 .65 .27 - .39 1 .72 .68 .65 - .33 2 .17 .43 .80 .13
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Comparison of BCA Results
China: Data and Predictions of Models with Just One Wedge: Output (1978-2006) 15
Percentage Deviation from Trend
10 5 0 -5 -10
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006
15
arial
Observed fluctuations of real GDP Model with Investment Wedge Model with Government Consumption Wedge
Model with Efficiency Wedge Model with Labor Wedge
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Comparison of BCA Results
Indian: Data and Predictions of Models with Just One Wedge: Output (1980/81-2005/06) 10 8 6 4 2 0 -2 -4 -6 -8 -10 -12
1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 Percentage Deviation from Trend
Observed fluctuations of real GDP Model with Investment Wedge Model with Government Consumption Wedge
Model with Efficiency Wedge Model with Labor Wedge
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Comparison of BCA Results
Main driving force in both countries: efficiency wedge (Solow residual)
Important role played by technology advances and infrastructure change
Missing factors of RBC model
Bigger damping effect of labor wedge points to more labor market rigidities in India Ignorable roles played by financial frictions and government consumption in both countries
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Conclusions
Both of China and India’s business cycle fluctuations are mainly driven by efficiency wedge (including technology advance and institutional change)
More rigid labor market (sticky wage and powerful labor union) is spotted in India Minor roles played by financial frictions and government consumption in both countries
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Thanks!
comments welcome
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