China's Growing Government Debt in a Computable Overlapping Generations Model

AuthorYan Wang,Shuanglin Lin,Fan Zhai,Shiyu Li
Published date01 August 2018
Date01 August 2018
DOIhttp://doi.org/10.1111/1468-0106.12172
Pacif‌ic Economic Review,••:•• (2016) pp. 1-29
doi: 10.1111/1468-0106.12135
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CHINAS GROWING GOVERNMENT DEBT IN A
COMPUTABLE OVERLAPPING GENERATIONS MODEL
SHIYU LIChina Financial Policy Research Center, Renmin University of China
SHUANGLIN LIN*Peking University, and University of Nebraska Omaha
YAN WANG George Washington University, and The World Bank
FAN ZHAI China Investment Corporation, and The Asian Development Bank
Abstract. This paper simulates the effects of Chinas growing government debt in a computable
equilibrium model of overlapping generations. Our model assumes that the government increases
debt to f‌inance its spending in the short run, and then increases taxes or cuts spending to keep the
debtGDP ratio constant. The spending-driven government debt increases public capital and output
in the short run, but decreases private investment, total capital stock, output, and net exports in the
long run, and makes the future generations worse off. Among various means of debt control, a de-
crease in government spending seems to be the least harmful to private investment, capital stock,
and output while an increase in capital taxation is most detrimental.
1. INTRODUCTION
Many years of expansionary f‌iscal policies have resulted in growing government
debt in China, which threatens Chinasf‌iscal sustainability and long-run economic
development. The present paper simulates the effects of Chinas growing govern-
ment debt in a computable equilibrium model of overlapping generations (OLG).
The Chinese Government had neither domestic nor foreign debt before 1978.
In the 1980s and early 1990s, Chinas government debt and def‌icits were kept at
a low level. In the aftermath of the Asian f‌inancial crisis in 1997 the government
adopted an expansionary f‌iscal policy and rapidly increased government spend-
ing. The budget def‌icit reached 2.6% of GDP in 2002.1As f‌iscal policy turned to
be prudent, budget def‌icits declined to 2.2% of GDP in 2003 and 0.8% in 2006.
In 2007, the economy was overheated and the budget was in surplus, although a
budget def‌icit had been planned at the beginning of the year. In 2008, the global
f‌inancial crisis occurred. The Chinese Government adopted a rather aggressive
expansionary f‌iscal policy, with a 4-trillion-yuan investment plan. The govern-
ment budget def‌icitGDP ratio accounted for 2.3% of GDP in 2009, 1.7% of
GDP in 2010, 1.1% in 2011, 1.7% in 2012, 1.9% in 2013 and 2.1% in 2014.2
*Address for Correspondence: China Centre for Public Finance, National School of Development,
Peking University, Beijing 100871, China; Department of Economics, University of Nebraska,
Omaha, NE 68182, USA. E-mail: shuanglin@pku.edu.cn; slin@mail.unomaha.edu. The authors
thank Bert Hofman, Laurence J. Kotlikoff, Shantong Li, Roumeen Islam and Yingyi Qian for their
invaluable comments. Shiyu Li acknowledges the f‌inancial support from the National Natural Sci-
ence Foundation of China (Project No. 71403280) and the Beijing Social Science Fund, China (Pro-
ject No. 14JGC118). Views expressed here are entirely those of the authors and should not be
attributed to the institutions with which they are aff‌iliated.
1Based on the Maastricht Treaty and the subsequent Stability and GrowthPact, in EU countries
the government debtGDP ratio cannot exceed 60% and the def‌icitGDP ratio cannot exceed 3%.
2See National Bureau of Statistics of China (20102013, 2014) and Lou (2014).
Pacif‌ic Economic Review,••:•• (2016)
doi: 10.1111/1468-0106.12172
© 2016 John Wiley & Sons Australia, Ltd
© 2016 John Wiley & Sons Australia, Ltd
Pacif‌ic Economic Review
, 23: 3 (2018) pp. 359–384
doi:10.1111/1468-0106.12172
© 2016 John Wiley & Sons Australia, Ltd
Pacif‌ic Economic Review
, 23: 3 (2018) pp. 359–384
doi:10.1111/1468-0106.12172
Chinas debtGDP ratio was 5% in 1994 and it has been increasing since.3In
addition to the central government debt, local governments have also accumu-
lated a huge amount of debt through borrowing from banks. Based on a recent
report of the China National Audit Off‌ice, by the end of June 2013, total govern-
ment debt (including central and local government debts) accounted for more
than 50% of GDP.4
Many believe that if both the contingent and implicit debt are included in the
total government debt, the debtGDP ratio will be much higher.5As the resi-
dential housing market bubbles burst, the debt of many state-owned real estate
developers will undoubtly increase, and the debt of local governments, which
have relied on land sales to the real estate developers, will also increase. In addi-
tion, Chinas government healthcare expenditure is low, and if the government
increases its healthcare expenditure in the future, Chinas government debt will
rapidly increase. Moreover, with population aging, the implicit pension debt
arising from Chinas current pay-as-you-go system will also turn into an explicit
debt. Recently, with Chinas economic growth slowing down, the central gov-
ernment has continued its expansionary f‌iscal policy and local governments have
been allowed to issue revenue bonds. Li (2016) suggests that the Chinese Gov-
ernment will pursue a more proactive f‌iscal policy and that the government def-
icit to GDP ratio will be 3%.6Thus, Chinas government debt will continue to
grow. The growth of debt has signif‌icant implications for Chinasf‌iscal sustain-
ability, private investment, capital accumulation, output, trade balance, and the
welfare of current and future generations.
So far, there are few studies on the effects of Chinas government debt based
on a rigorous general equilibrium model.7This paper investigates the impact of
Chinas growing government debt in a computable equilibrium model of over-
lapping generations. With simple theoretical models, comparative static analysis
can be performed to examine the effect of a change in a policy variable. How-
ever, for analysing large policy changes in a complicated model based on
Chinas actual data, simulation analysis is the best alternative.8Auerbach
and Kotlikoff (1987) developed a computable equilibrium model of overlapping
3See Krumm and Wong (2002) for discussions of Chinas government debt in the earlier years.
4See China National Audit Off‌ice (2013). In one province, government debtGDP ratio has reached
90% in 2013.
5Government liabilities can be classif‌ied into four categories: explicit and direct, explicit and contin-
gent (e.g. local government borrowing from banks), implicit and direct (e.g. social insurance expen-
diture), and implicit and contingent (e.g. liabilities in the event of bankruptcy of banks, SOEs and
social insurance funds). See Brixi and Schick (2002).
6In 2016, local governments can issue special bonds of 400 billion yuan to replace local govern-
mentsbank loans, and bonds will continue to be issued for this purpose. See Li (2016).
7Wang et al. (2001) are among the f‌irst to provide quantitative analyses of Chinas pension reform
based on a large computable equilibrium model. The model, although very useful, has its limitations
when considering the issues involving saving behaviour, labour supply and intergenerational redistri-
bution. Lin (2003) and Li and Lin (2011) estimated the size of Chinas government debt, but did not
rigorously analyse the effects of the debt.
8Shoven and Whalley (1972), Fullerton et al. (1983) and Ballard et al. (1985) were among the f‌irst
researchers to utilize simulation models to study the incidence and eff‌iciency effects of a variety of
f‌iscal regimes in both closed and open economy.
S. LI ET AL.2
© 2016 John Wiley & Sons Australia, Ltd
generations, called the A-K model, to simulate various government budgetary
policies on the US economy. Altig et al. (2001) extended the A-K model by in-
troducing 12 different groups of heterogeneous agents and simulated the impacts
of f‌ive different types of tax reforms in the United States; and Li and Lin (2016)
employed the A-K model to study Chinas social security reforms. Government
debt and def‌icits inevitably involve intergenerational redistribution, and, thus,
the A-K model is the most suitable one.
The present paper focuses on the effects of Chinasf‌iscal policies on consump-
tion, private investment, capital accumulation, output, trade balance and indi-
vidualswelfare. The government increases spending for a short period
f‌inanced by government debt, and then raises taxes or cuts government spending
to keep the debtGDP ratio constant. Both private capital and public capital are
included in our model. Throughout the paper, we assume that China is open to
international trade. However, China is able to control its cross-border capital
f‌lows.9
We construct a baseline growth path with the debtGDP ratio being constant,
and then simulate the change of the economy over the baseline after increasing
the debtGDP ratio. Our simulations show that, although increasing public cap-
ital and output in the short run, the spending-driven government debt reduces
private investment, capital stock, output, and net exports in the long run, and
makes the future generations worse off. Among various means of debt control,
a decrease in the government spending seems to be the least harmful to private
investment, capital stock, and output, while an increase in capital taxation is
most detrimental.
The paper proceeds as follows. Section 2 develops an equilibrium model of
overlapping generations with government debt. Section 3 discusses the data,
the model calibration and the baseline scenario. Section 4 provides simulation
analyses of the expansionary f‌iscal policy. Section 5 concludes.
2. THE BASIC MODEL
There are many multi-period-lived consumers in the economy. Each adult
chooses a sequence of consumption over his or her lifetime to maximize
his/her lifetime utility subject to a lifetime budget constraint. Firms, which are
owned by households, use capital and labour to maximize their values. The re-
source markets are competitive and the rate of returns to each resource is the
marginal product. The government lives forever, collecting taxes and issuing
short-term debt to f‌inance its spending. Public capital enters private production
9China still has capital control in place. For example, external borrowing is restricted, outward di-
rect investment by domestic enterprises must be approved by the government agencies and Chinese
currency is not freely convertible. The purpose of capital control is to prevent investments in certain
industries and especially to stop domestic capital from leaving the country. While before the eco-
nomic crisis in Asia China was under attack for having those capital controls in place, it shielded
the countrys economy against the worst fallout of the economic crisis. Many of the criticisms were
no longer heard following the crisis.
CHINAS GOVERNMENT DEBT 3
© 2016 John Wiley & Sons Australia, Ltd
© 2016 John Wiley & Sons Australia, Ltd
S. LI ET AL.
360
Chinas debtGDP ratio was 5% in 1994 and it has been increasing since.3In
addition to the central government debt, local governments have also accumu-
lated a huge amount of debt through borrowing from banks. Based on a recent
report of the China National Audit Off‌ice, by the end of June 2013, total govern-
ment debt (including central and local government debts) accounted for more
than 50% of GDP.4
Many believe that if both the contingent and implicit debt are included in the
total government debt, the debtGDP ratio will be much higher.5As the resi-
dential housing market bubbles burst, the debt of many state-owned real estate
developers will undoubtly increase, and the debt of local governments, which
have relied on land sales to the real estate developers, will also increase. In addi-
tion, Chinas government healthcare expenditure is low, and if the government
increases its healthcare expenditure in the future, Chinas government debt will
rapidly increase. Moreover, with population aging, the implicit pension debt
arising from Chinas current pay-as-you-go system will also turn into an explicit
debt. Recently, with Chinas economic growth slowing down, the central gov-
ernment has continued its expansionary f‌iscal policy and local governments have
been allowed to issue revenue bonds. Li (2016) suggests that the Chinese Gov-
ernment will pursue a more proactive f‌iscal policy and that the government def-
icit to GDP ratio will be 3%.6Thus, Chinas government debt will continue to
grow. The growth of debt has signif‌icant implications for Chinasf‌iscal sustain-
ability, private investment, capital accumulation, output, trade balance, and the
welfare of current and future generations.
So far, there are few studies on the effects of Chinas government debt based
on a rigorous general equilibrium model.7This paper investigates the impact of
Chinas growing government debt in a computable equilibrium model of over-
lapping generations. With simple theoretical models, comparative static analysis
can be performed to examine the effect of a change in a policy variable. How-
ever, for analysing large policy changes in a complicated model based on
Chinas actual data, simulation analysis is the best alternative.8Auerbach
and Kotlikoff (1987) developed a computable equilibrium model of overlapping
3See Krumm and Wong (2002) for discussions of Chinas government debt in the earlier years.
4See China National Audit Off‌ice (2013). In one province, government debtGDP ratio has reached
90% in 2013.
5Government liabilities can be classif‌ied into four categories: explicit and direct, explicit and contin-
gent (e.g. local government borrowing from banks), implicit and direct (e.g. social insurance expen-
diture), and implicit and contingent (e.g. liabilities in the event of bankruptcy of banks, SOEs and
social insurance funds). See Brixi and Schick (2002).
6In 2016, local governments can issue special bonds of 400 billion yuan to replace local govern-
mentsbank loans, and bonds will continue to be issued for this purpose. See Li (2016).
7Wang et al. (2001) are among the f‌irst to provide quantitative analyses of Chinas pension reform
based on a large computable equilibrium model. The model, although very useful, has its limitations
when considering the issues involving saving behaviour, labour supply and intergenerational redistri-
bution. Lin (2003) and Li and Lin (2011) estimated the size of Chinas government debt, but did not
rigorously analyse the effects of the debt.
8Shoven and Whalley (1972), Fullerton et al. (1983) and Ballard et al. (1985) were among the f‌irst
researchers to utilize simulation models to study the incidence and eff‌iciency effects of a variety of
f‌iscal regimes in both closed and open economy.
S. LI ET AL.2
© 2016 John Wiley & Sons Australia, Ltd
generations, called the A-K model, to simulate various government budgetary
policies on the US economy. Altig et al. (2001) extended the A-K model by in-
troducing 12 different groups of heterogeneous agents and simulated the impacts
of f‌ive different types of tax reforms in the United States; and Li and Lin (2016)
employed the A-K model to study Chinas social security reforms. Government
debt and def‌icits inevitably involve intergenerational redistribution, and, thus,
the A-K model is the most suitable one.
The present paper focuses on the effects of Chinasf‌iscal policies on consump-
tion, private investment, capital accumulation, output, trade balance and indi-
vidualswelfare. The government increases spending for a short period
f‌inanced by government debt, and then raises taxes or cuts government spending
to keep the debtGDP ratio constant. Both private capital and public capital are
included in our model. Throughout the paper, we assume that China is open to
international trade. However, China is able to control its cross-border capital
f‌lows.9
We construct a baseline growth path with the debtGDP ratio being constant,
and then simulate the change of the economy over the baseline after increasing
the debtGDP ratio. Our simulations show that, although increasing public cap-
ital and output in the short run, the spending-driven government debt reduces
private investment, capital stock, output, and net exports in the long run, and
makes the future generations worse off. Among various means of debt control,
a decrease in the government spending seems to be the least harmful to private
investment, capital stock, and output, while an increase in capital taxation is
most detrimental.
The paper proceeds as follows. Section 2 develops an equilibrium model of
overlapping generations with government debt. Section 3 discusses the data,
the model calibration and the baseline scenario. Section 4 provides simulation
analyses of the expansionary f‌iscal policy. Section 5 concludes.
2. THE BASIC MODEL
There are many multi-period-lived consumers in the economy. Each adult
chooses a sequence of consumption over his or her lifetime to maximize
his/her lifetime utility subject to a lifetime budget constraint. Firms, which are
owned by households, use capital and labour to maximize their values. The re-
source markets are competitive and the rate of returns to each resource is the
marginal product. The government lives forever, collecting taxes and issuing
short-term debt to f‌inance its spending. Public capital enters private production
9China still has capital control in place. For example, external borrowing is restricted, outward di-
rect investment by domestic enterprises must be approved by the government agencies and Chinese
currency is not freely convertible. The purpose of capital control is to prevent investments in certain
industries and especially to stop domestic capital from leaving the country. While before the eco-
nomic crisis in Asia China was under attack for having those capital controls in place, it shielded
the countrys economy against the worst fallout of the economic crisis. Many of the criticisms were
no longer heard following the crisis.
CHINAS GOVERNMENT DEBT 3
© 2016 John Wiley & Sons Australia, Ltd
© 2016 John Wiley & Sons Australia, Ltd
CHINA’S GOVERNMENT DEBT 361
© 2016 John Wiley & Sons Australia, Ltd
S. LI ET AL.
360

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