Copyright 
by 
Xiaojun Yang 
2003 
The Dissertation Committee for Xiaojun Yang Certifies that this is the 
approved version of the following dissertation: 
Essays on Income Inequality, Exchange Rate, 
and Policy Coordination 
Committee: 
David A. Kendrick, Supervisor 
Li Gan 
Vince Geraci 
William Glade 
Hong Yan 
Essays on Income Inequality, Exchange Rate, 
 and Policy Coordination 
by 
Xiaojun Yang, B.A., M.I.A., M.S. 
Dissertation 
Presented to the Faculty of the Graduate S
                
              
                                            
                                
            
 
            
                
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chool of 
The University of Texas at Austin 
in Partial Fulfillment 
of the Requirements 
for the Degree of 
Doctor of Philosophy 
The University of Texas at Austin 
May 2003 
UMI Number: 3116243 
________________________________________________________ 
UMI Microform 3116243 
Copyright 2004 by ProQuest Information and Learning Company. 
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 iv 
Acknowledgements 
I am deeply indebted to my supervisor Professor David A. Kendrick for 
his kind guidance, advice and encouragement. Under his consistent, 
conscientious and patient supervision, I have gained insight about 
macroeconomics and computational economics, importantly how to approach 
academic research. I will continue to value his friendship. 
I also owe thanks to the other member of the dissertation committee: Dr. 
Li Gan, Dr. Vince Geraci, Dr. William Glade, Dr. Hong Yan, for their valuable 
discussions and suggestions, and for their generosity and kindness. Also, I would 
like to express my appreciation to Seung-Rae Kim and Marco Tucci for their 
intellectual and technical advice. 
Finally, I express my special thanks to my parents for their lasting support 
and love. 
 v 
Essays on Income inequality, Exchange Rate, 
and Policy Coordination 
Publication No._____________ 
Xiaojun Yang, Ph.D. 
The University of Texas at Austin, 2003 
Supervisor: David A. Kendrick 
The goal of this dissertation is to develop and to use computational 
methods to study issues in policy coordination, exchange rates and income 
inequality. 
The topic of policy formulation among interdependent economies has 
received much attention in the literature. In the first essay a two-country model is 
used to illustrate the interdependence of China’s and Hong Kong’s economies. 
Not surprising, we find that the policy effect is asymmetric, due to difference in 
size. Shocks to the Chinese economy will affect Hong Kong’s stable economic 
growth. In order for Hong Kong to keep a stable growth, both governments must 
act in certain ways. Particularly, by importing more China can help Hong Kong’s 
economy, especially during the financial crisis years. We find that fiscal policy is 
 vi 
more effective than monetary policy in affecting economic activities in this 
model. 
In the second essay, we develop a model to study the behavior of the 
Yuan/Dollar exchange rate. The parameter values estimated for the model are 
such that when China increases its relative money supply, the exchange rate 
appreciates, which is different than the conventional result. Also the parameter 
values indicate that in order for China to have a higher level of GDP, China has to 
increase its money supply; and for a stable exchange rate, China either decreases 
its money supply then increases it or increases its money supply during the entire 
period. The right policy hinges on the desired path for the exchange rate. Since 
the model is simple in essence, the results should be interpreted with caution. 
The third essay analyses the contribution of different factors to the 
determination of income inequality. The questions regarding whether greater 
income inequality is conducive to China's growth and the role of degree of reform 
for growth and inequality have been studied in the paper. We find a positive 
correlation between income inequality and growth, that reform plays a dominant 
role in determining growth and income inequality, and that steady growth can not 
be emphasized too much, otherwise the reform process will be reversed, which is 
not practical. Finally, the tradeoff between income inequality and growth is 
analyzed. 
 vii 
Table of Contents 
Chapter One: Introduction...................................................................................... 1 
Chapter Two: Economic Interaction and Policy Coordination Between China 
and Hong Kong .............................................................................................. 3 
2.1 Introduction .............................................................................................. 3 
2.2 The Model ................................................................................................ 4 
2.3 The Optimal Control Theory.................................................................. 10 
2.4 The Model with Price Variables............................................................. 32 
 2.4.1 The Model Equations… ............................................................. 32 
 2.4.2 Simulations................................................................................. 39 
 2.4.2.1 Historical Simulation....................................................... 39 
 2.4.2.2 Policy Simulation ............................................................ 43 
 2.4.2.2.1 Fiscal Expansion ................................................. 43 
 2.4.2.2.2 Monetary Expansion ........................................... 49 
2.5 The Model with Price Variables in the Control Theory Framework ..... 50 
Chapter Three: Yuan - Dollar Exchange Rate Model ......................................... 62 
3.1 Introduction ............................................................................................ 62 
3.2 Developments of China's Foreign Exchange System............................ 63 
3.3 The Model .............................................................................................. 71 
 3.3.1 The Model Equations… ............................................................. 72 
 3.3.2 Data ............................................................................................ 74 
 3.3.3 Estimation................................................................................... 75 
 3.3.4 Policy Simulation ....................................................................... 77 
3.4 The Control .......................................................................................... 82 
 3.4.1 The Control Framework ............................................................. 82 
 3.4.2 Results and Experiments ............................................................ 86 
 viii 
3.5 Conclusion ........................................................................................... 95 
Chapter Four: Reform, Inequality, and Growth .................................................. 96 
4.1 Introduction ............................................................................................ 96 
4.2 Factor Consideration .............................................................................. 97 
 4.3 The Model ............................................................................................ 102 
4.4 Control and Sensitivity Analyses ......................................................... 112 
 4.4.1 The Control Framework ........................................................... 112 
 4.4.2 Sensitivity Analysis.................................................................. 117 
 4.4.2.1 Sensitivity Analysis from 1991 to 1998........................ 119 
 4.4.2.2 Sensitivity Analysis from 1998 to 2010........................ 132 
 4.4.2.2.1 Caring More about Income Inequality .............. 135 
 4.4.2.2.2 Caring More about Growth Rate ....................... 140 
 4.4.2.2.3 Greater Difficulty to Further Reform ................ 144 
 4.4.2.2.4 Inequality verse Growth ................................... 149 
4.5 Conclusion ......................................................................................... 152 
Appendix A-1 Historical Simulation................................................................... 154 
Appendix A-2 Simulation Results for China's Fiscal Expansion........................ 158 
Appendix A-3 Duali Input File 1 ........................................................................ 162 
Appendix A-4 Duali Input File 2 ........................................................................ 179 
Appendix B-1 Comparison of Different Money Supply ..................................... 198 
Appendix B-2 Duali Input File............................................................................ 199 
Appendix C-1 Constant Inequality, Growth and Inflation.................................. 204 
Appendix C-2 Duali Input File............................................................................ 206 
Appendix D-1 Data-China .................................................................................. 212 
Appendix D-2 Data-Hong Kong ......................................................................... 220 
 ix 
Appendix D-3 Data-US....................................................................................... 226 
Bibliography ....................................................................................................... 228 
Vita ................................................................................................................... 231 
 1 
Chapter 1: Introduction 
The topic of policy formulation among interdependent economies has 
received much attention in the literature. China and Hong Kong are economically 
closely linked. Policy initiatives in one economy may influence the evolution of 
economics variables in the other. In the first essay a two-country model is used to 
illustrate the interdependence of these two economies. Not surprisingly, we found 
that the policy effects are asymmetric, due to differences in size. China’s 
economic policies have a big effect on Hong Kong, but the reverse is not true. 
However, China and Hong Kong’s economies are intertwined. A shock to the 
Chinese economy will affect Hong Kong’s stable economic growth. In order for 
Hong Kong to keep a stable growth, both governments must act in certain ways. 
Particularly, by importing more China can help Hong Kong’s economy, especially 
during financial crisis years. In doing so, China has to have higher government 
expenditure and Hong Kong has to have higher money growth. At the same time, 
Hong Kong should steadily increase its government expenditure and China should 
keep a stable money growth. Fiscal policy is more effective than monetary policy 
in affecting economic activities in this model. 
In the second essay, we develop a model to study the behavior of the 
Yuan/Dollar exchange rate. We connect the exchange rate with China and 
America’s income, money supply, interest rate, and current account. The 
parameter values estimated for the model are such that when China increases its 
 2 
relative money supply, the exchange rate appreciates. Also the parameter values 
indicate that in order for China to have a higher level of GDP, China has to 
increase its money supply; and for a stable exchange rate, China can either 
decrease its money supply then increases it or increase its money supply during 
the entire period. The correct policy depends on the desired path of the exchange 
rate. Since the model is simple in essence, the results should be interpreted with 
caution. 
The reform and open-door policies in China have liberated people’s work 
incentive and enthusiasm. Important aspects of this change are that people have 
more job choices and more opportunities, and that income inequality has 
increased. The final chapter analyses the contribution of different factors in the 
determination of income inequality. The questions regarding whether income 
inequality is conducive to China's growth and the role of degree of reform for 
growth and inequality have been studied in the paper. A two-period model with 
two-group households—rural and urban—is introduced to illustrate factors that 
should be considered in income distribution and growth. Based on this 
framework, equations are developed for urban income inequality, rural income 
inequality, growth and inflation. Contradicting a popular view regarding East 
Asian countries, a positive correlation between income inequality and growth was 
found. The other findings are that reform plays a dominant role in determining 
growth and income inequality, and that steady growth can not be emphasized too 
much, otherwise the reform process will be reversed, which is not practical. 
Finally, the tradeoff between income inequality and growth is analyzed. 
 3 
Chapter 2: Economic Interaction and Policy Coordination 
Between China and Hong Kong 
2.1 INTRODUCTION 
The economic reforms that took place in mainland China in the late 1970s 
began a new process that fundamentally changed the economic relationship 
between mainland China and Hong Kong. In the 1960s and 1970s, Hong Kong’s 
economic growth rate reached, on average, almost 10 percent per year. However 
by the early 1980s high land rents and wages began to erode Hong Kong’s 
international competitiveness that had been the basis of its success. 
Coincidentally, the emergence of such pressures coincided with China’s open-
door policies. Thus a mutual benefit situation arose between the two and the 
forging of much closer economic relations began. We want to know how the two 
economies interact, how policy interaction can increase their welfare, and what 
policy instrument is more effective in affecting the economies. In this paper a 
two-country model is used to illustrate the interdependence of these two 
economies and also answer those questions. We found the policy effect is 
asymmetric, due to different size. China’s economic policies have a big effect on 
Hong Kong, but the reverse is not true. However, China and Hong Kong’s 
economies are intertwined. The shock of the Chinese economy will affect Hong 
Kong’s stable economic growth. In order for Hong Kong to keep a stable growth, 
both governments must act in certain ways. China can help Hong Kong 
government reduce expenditure without hurting Hong Kong’s economic growth. 
 4 
Fiscal policy is more effective than monetary policy in affecting economic 
activities. 
The chapter is organized as follows. Section 2 describes the model. The 
optimal control theory is presented in section 3, where we describe the quadratic 
linear problem, give the solution process for the system, and associate the 
dynamic optimization method with our problem. In section 4, the price variables 
are added to the model to see the role of monetary policy, where we also present 
policy simulations. Section 5 puts the expanded model in the control theory 
framework and gives a sensitivity analyse. 
2.2 THE MODEL 
2.2.1 The Model Setup 
The model consists of the GDP identity and functions for each of its 
components. Specifically, for the Chinese economy we have: 
 CYt+1 = CCt+1 + CIt+1 + CGt+1 + CXt+1 – CMt+1 
 CCt+1 = a0 + a1CCt + a2CYt+1 + a3CYt 
CIt+1 = b0 + b1CIt + b2CYt+1 + b3CYt 
CMt+1 = c0 + c1CMt + c2CYt+1 
CXt+1 = d0 + d1CXt + d2HYt+1 
where CY, CC, CI, CG, CX, and CM stand for China’s GDP, consumption, 
investment, government expenditure, exports, and imports respectively; 
 5 
For the Hong Kong economy we have: 
HYt+1 = HCt+1 + HIt+1 + HGt+1 + HXt+1 – HMt+1 
 HCt+1 = e0 + e1HCt + e2HYt+1 
HIt+1 = f0 + f1HIt + f2HYt+1 + f3HYt 
HMt+1 = g0 + g1HYt + g2HYt+1 
HXt+1 = h0 + h1CYt + h2CYt+1 
where HY, HC, HI, HG, HX, and HM stand for Hong Kong’s GDP, 
consumption, investment, government expenditure, exports, and imports 
respectively. Economic theory has little to say about the lag structure, and the lag 
variables are included in the stochastic equations, since they result in a better fit 
of the model to the data. 
 Since all the endogenous variables are interrelated between China and 
Hong Kong as well as within each economy, we use two-stage least squares to 
estimate the model. We use all the relevant variables as the instrumental 
variables. When the Durbin-Watson statistic indicates a first-order serial 
correlation, we use the Cochrane-Orcutt technique to correct it. 
The following is the estimation result1: 
For the Chinese economy: 
CYt+1 = CCt+1 + CIt+1 + CGt+1 + CXt+1 – CMt+1 
1 The data we used is from “Statistical Yearbook of China” from 1987 to 2001 by SSB. 
 6 
 CCt+1 = -6402 + 0.85 CCt + 0.48 CYt+1 - 0.4 CYt 
 (11300) (0.26) (0.044) (0.14) R2 = 0.99 
CIt+1 = 10660 + 0.65 CIt + 0.46CYt+1 – 0.35 CYt 
 (9863) (0.22) (0.045) (0.1) R2 = 0.98 
CMt+1 = -8486 + 0.75 CMt + 0.07 CYt+1 
 (13960) (0.39) (0.068) R2 = 0.8 
CXt+1 = -10677 + 0.9 CXt + 0.3 HYt+1 
 (19072) (0.22) (0.3) R2 = 0.93 
For the Hong Kong economy: 
HYt+1 = HCt+1 + HIt+1 + HGt+1 + HXt+1 – HMt+1 
 HCt+1 = -2799 + 0.5 HCt + 0.41 HYt+1 
 (15177) (0.23) (0.15) R2 = 0.99 
HIt+1 = -9118 + 0.42 HIt + 0.74HYt+1 – 0.5HYt 
 (3901) (0.23) (0.13) (0.14) R2 = 0.95 
HMt+1 = -28400 + 2.27HYt+1 – 0.680 HYt 
 (12419) (0.46) (0.41) R2 = 0.95 
HXt+1 = 35263 + 0.4CYt+1 - 0.216 CYt 
 (24486) (0.19) (0.19) R2 = 0.55 
 7 
The standard errors are in parentheses. All the signs meet our expectation. 
The interaction of the two economies is represented by the export functions: 
China’s export is a function of Hong Kong’s GDP, and Hong Kong’s export is a 
function of China’s GDP. 
2.2.2 The Estimation Technique2 
This section describes a consistent estimator of a simultaneous-equations 
model in which there is a lagged dependent variable and serial correlation. 
Consider the following equations (in deviation form): 
t1t3t2t qapaq ε++= − (1) 
t1tt v+ρε=ε − (2) 
tt2t uybp += (3) 
where ut and vt are independent over time and are uncorrelated with each other. 
The first equation is identified and contains an autoregressive error term. 
Plugging (2) into (1), we get 
t2t1t31tt21tt v)qq(a)pp(aqq +ρ−+ρ−=ρ− −−−− (4) 
Since ρ is not known, the estimate of the serial correlation coefficient, r, may not 
equal ρ . Then (4) becomes 
2 This section is heavily drawn from Pindyck and Rubinfeld (1998). 
 8 
])r(v[)rqq(a)rpp(arqq 1tt2t1t31tt21tt −−−−− ε−ρ++−+−=− (5) 
According to Fair, a consistent estimator can be obtained by the following 
procedure. 
Stage one: estimate the equation 
t2t51t41t3t2t wqpqyp +γ+γ+γ+γ= −−− (6) 
and get the predicted values pˆ t. 
Stage two: estimate the equation 
]wˆa)r(v[
)rqq(a)rppˆ(arqq
t21tt
2t1t31tt21tt
+ε−ρ+
+−+−=−
−
−−−−
 (7) 
where ttt ppw ˆˆ −= , the residual from the first stage. The estimate of ρ can be 
obtained via the Cochrane-Orcutt procedure. 
The following figure is out of sample prediction based on above 
estimation. 
 9 
Figure 1.1 Actual verse Prediction 
310
320
330
340
350
360
370
380
390
400
1997 1998 1999 2000
Panel a: China's Consumption
actual predicted
160
210
260
310
360
410
1997 1998 1999 2000
Panel b: China's Investment
actual predicted
0
20
40
60
80
100
120
140
160
180
1997 1998 1999 2000
Panel c: China's Import
actual predicted
0
10
20
30
40
50
60
1997 1998 1999 2000
Panel e: Hong Kong's Investment
actual predicted
0
50
100
150
200
250
1997 1998 1999 2000
Panel e: Hong Kong's Import
actual predicted
64
66
68
70
72
74
76
78
80
82
84
86
1997 1998 1999 2000
Panel d: Hong Kong's Consumption
actual predicted
 10 
2.3 OPTIMAL CONTROL THEORY3 
Many problems in economics are formulated as dynamic models. Control 
theory is a dynamic optimization method, in which controls are used to move an 
economic system over time from a less desirable to a more desirable state. The 
basic idea of control theory is that an objective function is optimized subject to a 
set of state or system equations. The objective function of a model depends on the 
decision maker’s objectives. Variables in the system are separated into two 
groups: state and control variables. The state of the economic system at any point 
in time is represented by the state variables. Controls represent policy variables, 
that can be altered by decision makers. The application of optimal control in 
economics normally centers on a class of control problems called quadratic linear 
tracking problems. The goal in the quadratic linear tracking problem is to cause 
the state variables and control variables to follow their desired paths as closely as 
possible. That is also the model we use in this study. 
The objective function in the quadratic linear tracking problem is 
)~()~(
2
1 '
NNNNN xxWxxJ −−= 
[ ]∑−
=
−Λ−+−−+
1
0
'' )~()~()~()~(
2
1 N
t
tttttttttt uuuuxxWxx 
and the system equations are in the structural form used by Pindyck (1973), i.e. 
3 See Kendrick (1981) (2002) for discussion of control theory methods. 
 11 
ttttt zCuBxAxAx 111101 +++= ++ 
where 
xt = state vector of period t 
tx~ = desired path for the state vector 
tu = control vector of period t 
tu~ = desired path for the control vector 
 zt = purely exogenous variable vector of period t 
tW = penalty weight matrix for the state vector which is a diagonal matrix 
tΛ = penalty weight matrix for the control vector which is a diagonal 
matrix 
A0, A1, B1, and C1 are the coefficient matrices and vectors 
To specify, in our model we have: 
=
t
t
t
t
t
t
t
t
t
t
t
HM
HX
HI
HC
HY
CM
CX
CI
CC
CY
x , 
=
t
t
t HGLead
CGLead
u , [ ]Constzt = . 
 12 
Since we are going to represent this model in Duali software written by Amman 
and Kendrick (1999), and Duali software does not allow variables in concurrent 
terms, we introduce Lead CGt and Lead HGt, where 
 Lead CGt = CGt+1 
 Lead HGt = HGt+1 
−
−
=
000027.200000
0000000004.0
000074.000000
000041.000000
1111000000
00000000007.0
00003.000000
00000000046.0
00000000048.0
0000011110
0A 
 13 
−
−
−
−
−
=
00006.000000
000000000216.0
0042.005.000000
0005.0000000
0000000000
0000075.00000
0000009.0000
000000065.0035.0
0000000085.04.0
0000000000
1A 
=
00
00
00
00
10
00
00
00
00
01
1B 
−
−
−
−
−
=
28400
35263
9118
2799
0
8486
10677
10660
6402
0
1C 
The desired paths of all the state variables are computed using their average 
growth value -- the same growth rate -- from 1987 to 2000 except for the control 
variables which are from 1988 to 2000, for example, China’ GDP in 1987 and 
2000 are 359 billion and 815 billion US dollars (both in 1990 price) respectively. 
The growth rate of GDP during this period is 6.5 percent per year. The desired 
 14 
path of China’s GDP then is calculated according the growth rate of 6.5% each 
year. The desired paths are shown in Table 2.1. 
Table 2.1: Desired Paths for the State and Control Variables 
Year CY CC CI CX CM HY HC HI HX HM CG HG 
1987 359 184 133 45 50 54 32 15 66 63 
1988 383 195 142 51 55 58 34 16 72 68 51 4 
1989 407 207 151 56 60 62 36 17 78 74 55 5 
1990 434 219 160 63 66 66 39 18 84 80 58 5 
1991 462 233 171 70 73 70 41 19 91 87 62 5 
1992 492 247 181 79 80 74 44 21 98 94 66 6 
1993 524 261 193 88 88 79 47 22 106 102 70 7 
1994 558 277 205 98 97 84 49 23 115 111 74 7 
1995 595 294 218 109 106 90 53 25 125 120 79 8 
1996 633 312 232 122 117 96 56 26 135 130 84 8 
1997 675 330 246 136 129 102 60 28 146 141 89 9 
1998 719 350 262 152 141 109 63 30 158 153 95 10 
1999 765 371 278 170 155 116 67 32 171 165 101 11 
2000 815 394 296 189 171 123 72 34 185 179 107 12 
 Following Shih (1997), The penalty weights for the base case are chosen 
according to: 
)/(559 iofmeanWi = 
Where 559 is the average for China’s GDP. 
 i: state variables or control variables. 
For example, China’s consumption average from 1987 to 2000 is 277 
billion dollars. The penalty weight for China’s consumption is 559 divided by 
277, and which is about two. 559 is China’s GDP average, which is the largest 
 15 
average value among all variables. We chose 559, since we want the penalty 
weights to be greater than one. 
 Since variables in our model have different units, this normalization will 
give the same importance on each variable. Sometimes the weights are 
normalized with different methods, for example, normalized with squares. 
Fonseca (1999) gave a detailed description about different normalization 
approaches. Here we follow Shih (1997)’s method. This normalization is simple 
to calculate and also it achieves normalization goal. The following table lists the 
penalty weights. 
Table 2.2: Penalty Weights on State and Control Variable 
CY CC CI CX CM HY HC HI HX HM CG HG 
1 2 2.7 5.5 5.6 6.6 11.3 24 4.8 5 7.9 80.5 
In fact the quadratic linear tracking problem can be transformed to the 
quadratic linear problem (QLP), as described in Kendrick (1981, page 6-8). The 
quadratic linear problem (QLP) is to obtain the solution paths for all the relevant 
variables by optimizing a quadratic objective function subject to system equations 
and a given initial condition. The variables in the model are separated into two 
groups: state and control variables. Kendrick (1981) states the QLP as to find 
1
0)(
−
=
N
kku to minimize the criterion (2.1) next page. 
 16 
∑−
=
 +Λ++++
+=
1
0
'''''
''
2
1
2
1
2
1
N
k
kkkkkkkkkkkkk
NNNNN
uuuuFxxwxWx
xwxWxJ
λ
 (2.1) 
subject to the system equations 
 kkkkkk cuBxAx ++=+1 for k = 0,1,2,…,N-1 (2.2) 
and the given initial condition 0x , 
where 
kx = state vector of period k with n elements 
ku = control vector of period k with n elements 
kW = n by n weight matrix of period k 
kw = n element weight vector of period k 
kF = n by m weight matrix of period k 
kΛ = m by m weight matrix of period k 
kλ = m element weight vector of period k 
kA , kB and kc = coefficient matrices and vectors 
 Thus the problem is to find the time paths for the m control variables in 
each period for the time periods from 0 to N-1 to minimize the quadratic form 
(2.1) given 0x and following (2.2). 
 17 
Solution Process 
 The problem (2.1) to (2.2) can solved by the method of dynamic 
programming to obtain the feedback-control solution. The derivation of the 
solution for this model is described in detail in Chapter 2 of Kendrick (1981). The 
cost-to-go at time k is defined as 
∑−
=
 +Λ++++
+=
1
'''''
''
2
1
2
1
2
1)(
N
kt
ttttttttttttt
NNNNNk
uuuuFxxwxWx
xwxWxxf
λ
 (2.3) 
Which is the summation of the objective function from period k to the terminal 
period. 
 Suppose the economic system is in state kx at time k and the optimal cost-
to-go at time k+1 is )( 1
*
1 ++ kk xf . Then the problem at k is to choose ku to 
minimize: 
)(
2
1
2
1)( 1
*
1
'''''
++++Λ+++= kkkkkkkkkkkkkkkkk xfuuuuFxxwxwxxf λ (2.4) 
The optimal cost-to-go at k+1 will be: 
 1
'
111
'
11
*
1 2
1)( +++++++ += kkkkkkk xpxPxxf (2.5) 
We ignore the constant term since the optimal cost-to-go is quadratic. 1+kP and 
1+kp are coefficient matrix and vector determined backward from the terminal 
period, and we will explain it later. 
 Substituting the system equation (2.2) for 1+kx in equation (2.5) to express 
the optimal value in terms of kx , we get: 
++++= ++++++ kkkkkkkkkkkkkkkkkk uBPAxxpAcPAxAPAxxf 1'''1'1'1''1* 1 )(2
1)( 
 18 
 kkkkkkkkkkk upBcPBuBPBu
'
1
''
1
'
1
'' )(
2
1
+++ ++ (2.6) 
 Plugging (2.6) into (2.4) and taking the first order condition with respect 
to ku , we get the optimal solution: 
 kkkk gxGu +=* (2.7) 
where 
 ][][ '1
'1
1
'
kkkkkkkkk FAPBBPBG +Λ+−= +−+ (2.8) 
 ][][ 1
''
1
'1
1
'
++
−
+ ++Λ+−= kkkkkkkkkkk pBcPBBPBg λ (2.9) 
(2.7) is called a feedback rule, which says that if the economy is in state kx at k, 
the best policy is *ku . 
 Now substituting the feedback rule in equation (2.6) and further 
substituting the feedback rule and the resulting equation (2.6) in equation (2.4), 
we get: 
 kkkkkkk xpxPxxf
''*
2
1)( += (2.10) 
where 
kkkkkkkkkkkkkkk GGGFWAPAGBPBGP Λ++++= ++ '1'1'' 22 (2.11) 
++++= +++ kkkkkkkkkkkkk gBPBGcPApGBAp ' 1''1'1')( 
 kkkkkkkkkkkk GgGgFwcPBG λ'''' 1'' +Λ++++ (2.12) 
Equations (2.11) and (2.12) are the Riccati equations for the problem. The Riccati 
equations dictate the backward relationships in the time dimension and kP and 
kp are functions of 1+kP and 1+kp . That means if we have the terminal values for 
NP and Np , then we can solve kP and kp by integrating the Riccati equations 
 19 
backward in time. NP and Np can be obtained from the minimization of the 
terminal period cost-to-go 
 NnNNNNN xwxWxxf
''
2
1)( += 
we get 
 NN WP = (2.13) 
 NN wp = (2.14) 
Because the objective function at N is constant in terms of the control vector Nu 
and thus is the same as its optimal value. 
Results and Experiment 
If we apply the desired paths and penalty weights above and use the Duali 
software written by Amman and Kendrick (1999), we get the optimal values for 
each variable, and also this is our base case value for each variable in the 
following experiment. The experiments here are a warm up, they set the stage 
for the second model with prices. 
Experiment one: lower government expenditure. 
 Due to the relative size of the two economies, China’s policy change will 
have a substantial effect on the Hong Kong economy, but not vice versa. For 
example, if China should decide to lower government expenditure to slow 
inflation, the effect on Hong Kong would be substantial. However if Hong Kong 
should cut gove._.rnment expenditure, the effect on China’s GDP would be 
negligible. To do this experiment, we first let Chinese government’s desired 
 20 
expenditure be 80% of its previous level each year, which is reflected in “low1” 
case in Figures 2.1 – 2.4. Then we restore Chinese government expenditure to its 
initial level and let Hong Kong government expenditure be 80% of its previous 
level, which is reflected in “low2” case in those Figures 2.1 – 2.4. “low1” and 
“low2” stand for optimal solutions for all variables under the reduced China and 
Hong Kong’s government expenditure respectively. Figures 2.1 and 2.2 reflect 
what happens to China and Hong Kong’s government expenditure after the 
change respectively. 
Figure 2.1: China’s Government Expenditure 
40
60
80
100
120
140
160
88 89 90 91 92 93 94 95 96 97 98 99 2000
base low1 low2
 21 
Figure 2.2: Hong Kong’s Government Expenditure 
It is obvious, from Figure 2.1, that China’s government expenditure is lower 
under “low1” than in the base case which reflects optimal solutions for all 
variables before making any change, and from Figure 2.2, Hong Kong’s 
Government expenditure is lower under “low2” than the base case. At the same 
time, the reduction of China’s government expenditure has a big effect on Hong 
Kong’s government expenditure, see Figure 2.2 “low1” case. Hong Kong’s 
government expenditure is increased substantially over the base path in order to 
offset the loss of income which comes from the decrease in exports to China. 
However the reverse in not true – China’s government expenditure under “low2” 
is almost the same as the base case, see Figure 2.1. The reduction of China’s 
government expenditure also has a big effect on Hong Kong’s export. Figures 3 
below reflect the optimal paths for Hong Kong’s export. From Figure 2.3, Hong 
1
6
11
16
21
26
88 89 90 91 92 93 94 95 96 97 98 99 2000
base low1 low2
 22 
Kong’s export path is apparently lower than the base level. So the Hong Kong 
government must greatly increase expenditure to offset the loss in exports caused 
by a decrease in government expenditure in China but the reverse is not true. 
Not surprisingly, Hong Kong’s government expenditure change has a negligible 
effect on China’s export, see Figure 2.4 under “low2” case. 
Figure 2.3: Hong Kong's Export
50
70
90
110
130
150
170
190
87 89 91 93 95 97 99
base low1 low2
 23 
Figure 2.4: China’s Export 
From this experiment, we have seen that the size of an economy matters. Since 
China’s economy size is bigger than Hong Kong’s, China’s economic policy has 
a large effect on Hong Kong, but the reverse is not true. 
Experiment two: China has lower GDP growth 
 In this experiment, we want to see what happens to Hong Kong’s 
economy if China’s GDP growth is slower. In order to mitigate this adverse 
effect on Hong Kong’s economy, what should both governments do? First we let 
the growth rate of China’s GDP be 4% each year, which is lower than the base 
case which was 6.5%. “lowy1” in Figures 2.5 – 2.8 reflects the optimal paths for 
30
50
70
90
110
130
150
170
190
87 88 89 90 91 92 93 94 95 96 97 98 99 2000
base low1 low2
 24 
all variables. From Figure 2.5 panel a and Figure 2.6 panel a, we can see both 
China and Hong Kong have a lower optimal GDP path (lower than the base case) 
after the change. Now we want China’s GDP growth rate still to be the lower 
level – 4% – each year, but at the same time, we want Hong Kong’s optimal GDP 
stays as almost the same level as the base case, the case where China’s GDP 
growth rate is 6.5%. In order to achieve this, we increase Hong Kong GDP’s 
desired level – higher than the base case and “lowy1” case (Hong Kong’s GDP 
has same desired level under base and “lowy1” case). This is reflected in 
“lowy2” in panel b of Figures 2.5 – 2.8. Panel a of figures 5 – 8 show base and 
“lowy1” and panel b of Figures 2.5 – 2.8 then add “lowy2”. Now we describe 
this scenario. As mentioned above, the optimal path for China’s GDP stays at 
lower level under “lowy1”, as can be seen from Figure 2.5 panel a. 
Figure 2.5: China’s GDP 
250
350
450
550
650
750
850
87 89 91 93 95 97 99
b
base low y1 low y2
250
350
450
550
650
750
850
87 89 91 93 95 97 99
a
base low y1
 25 
The shock of the Chinese economy also makes Hong Kong’s GDP stay at lower 
level, as can be seen in Figure 6 panel a under “lowy1”. 
Figure 2.6: Hong Kong’s GDP 
In order to reduce this adverse effect on Hong Kong’s economy, we increase 
Hong Kong GDP’s desired path, that is the “lowy2” case. Under “lowy2”, the 
optimal path of Hong Kong’s GDP is almost the same as that in the base case, as 
can be seen in Figure 2.6 panel b. The higher growth rate of Hong Kong’s GDP 
helps China’s growth in the presence of the adverse shock. We can see the 
optimal path of China’s GDP is higher under “lowy2” than under “lowy1”, as can 
be seen in Figure 2.5 panel b. That means under “lowy2” both Hong Kong and 
China gain. In order to achieve this, what should the governments do? The 
answer lies in Figures 2.7 and 2.8 panel b, which represents the optimal paths of 
40
60
80
100
120
140
160
87 89 91 93 95 97 99
a
base low y1
40
60
80
100
120
140
160
87 89 91 93 95 97 99
b
base low y1 low y2
 26 
China and Hong Kong’s government expenditure respectively. Comparing the 
optimal paths under “lowy1” with that under “lowy2”, we can see after the shock 
of the Chinese economy, in order for Hong Kong to avoid the adverse effect, 
China should reduce its government expenditure initially, then increase their 
expenditure thereafter, and Hong Kong should increase its government 
expenditure significantly, as can be seen from Figures 2.7 and 2.8 panel b. 
Figure 2.7: China’s Government Expenditure 
50
60
70
80
90
100
110
120
130
140
150
88 90 92 94 96 98 2000
a
base low y1
50
60
70
80
90
100
110
120
130
140
150
88 90 92 94 96 98 2000
b 
base low y1 low y2
 27 
Figure 2.8 Hong Kong’ Government Expenditure 
3
4
5
6
7
8
9
10
11
88 89 90 91 92 93 94 95 96 97 98 99 2000
a
base lowy1
3
5
7
9
11
13
15
88 89 90 91 92 93 94 95 96 97 98 99 2000
b
base lowy1 lowy2
 28 
Experiment three: Hong Kong has a lower government expenditure. 
 In this experiment, we want to see how much China can help Hong Kong 
with its economic growth, when Hong Kong has to cut its government 
expenditure. We let Hong Kong’s government desired expenditure be 80% of its 
previous level each year. Figure 2.9 panel a reflects what happens to Hong Kong 
government’s expenditure after the change. It is obvious that Hong Kong 
government’s expenditure is lower than the base case. “lowg1” in the figure 
reflects this change. “lowg1” stands for optimal solutions for all variables under 
the reduced government expenditure. Panel a in Figures 2.9 – 2.11 show the 
optimal path under the base case and the “lowg1” case. 
Figure 2.9: Hong Kong’s Government Expenditure 
1
3
5
7
9
11
13
15
17
88 90 92 94 96 98
a
base low g1
1
3
5
7
9
11
13
15
17
88 90 92 94 96 98
b
base low g1 low g2
 29 
“lowg2” is the case that we let Hong Kong ‘s GDP track its desired path as 
closely as possible after Hong Kong government expenditure reduction. Hong 
Kong’s GDP weight under “lowg2” case is as large as 10 times the previous 
weights. Panel b of Figure 2.9 – 2.11 add the “lowg2” case. From Figure 2.10 
panel b, we can see Hong Kong’s GDP is closer to its desired path under 
“lowg2”. At the same time, Hong Kong’s government expenditure also stays at 
lower level, as can be seen in Figure 2.9 panel b. 
Figure 2.10: Hong Kong’s GDP 
Under “lowg2”, Hong Kong has both stable economic growth and lower 
government expenditure. But what happens to the Chinese economy? From 
30
50
70
90
110
130
150
170
87 89 91 93 95 97 99
b
desired low g1 low g2
30
50
70
90
110
130
150
170
87 89 91 93 95 97 99
a
desired low g1
 30 
Figures 2.11 and 2.12, we can see the reduction of government expenditure in 
Hong Kong and stable economic growth have little effect on China. 
Figure 2.11: China’s GDP 
200
300
400
500
600
700
800
900
1000
1100
87 88 89 90 91 92 93 94 95 96 97 98 99
a
desired base low g1
200
300
400
500
600
700
800
900
1000
1100
87 88 89 90 91 92 93 94 95 96 97 98 99
b
desired base low g1 low g2
 31 
Figure 2.12 shows when Hong Kong has to reduce its government expenditure, 
China should reduce its government expenditure in both the initial and last 
periods, in order to help Hong Kong has a more stable economic growth. 
It is obvious that because of difference in size, the Chinese and Hong 
Kong economies will have different effects on one another. Since China’s 
economy size is bigger than Hong Kong’s, China’s economic policy has big effect 
on Hong Kong, but the reverse is not true. However the question is open as to the 
size of these effects over time. From those experiments, we can see China and 
Hong Kong’s economies are intertwined. The shock of the Chinese economy will 
affect Hong Kong’s stable economic growth. In order for Hong Kong to keep a 
stable growth, both governments should act accordingly to make that happen. 
30
50
70
90
110
130
150
170
190
88 89 90 91 92 93 94 95 96 97 98 99
Figure 2.12: China's Governmen Expenditure
lowg1 lowg2
 32 
China can help Hong Kong government reduce expenditure without hurting Hong 
Kong’s economic growth. 
2.4 THE MODEL WITH PRICE VARIABLES 
In this section, price variables are added to the previous model. The 
reason for adding price variables is that we want to see the role of monetary 
policy in the interaction of the two economies, the effect of monetary policy on 
the domestic economy and the difference between fiscal and monetary policy. 
The price variables are the price level, wages, the interest rate and the 
exchange rate. The unemployment rate also is added. The basic relationship 
among GDP, consumption, investment, exports and imports are the same as 
before. 
2.4.1 The Model Equations. 
Consumptions 
China’s consumption (cc): 
cc = -6518 + 0.856cc(-1) + 0.48cy – 0.40cy(-1) 
 (11253) (0.2563) (0.04) (0.13) Adjusted R-squared = .98 
Hong Kong’s consumption (hc): 
hc = -5577 + 0.036779hc(-1) + 0.62hy; 
 (12177) (0.07) (0.05) Adjusted R-squared = .99 
 33 
There is a positive relationship between national income and consumption. The 
explanatory variables also include lagged consumption. Wages were not one of 
the explanatory variables due to multicollinearity with national income. The 
equations explain the consumption in China and Hong Kong respectively. In 
theory, consumption is also a function of the interest rate and the price level: the 
higher the interest rate or the price level, the lower consumption. However, the 
interest rate and the price level are not included in either of the consumption 
equations, since the data doesn’t support these two variables. 
Investment 
China’s investment (ci): 
ci = 10611 + 0.65ci(-1) + 0.46cy – 0.35cy(-1) 
 (9858) (0.22) (0.05) (0.1) Adjusted R-squared = .977751 
Hong Kong’s investment (hi): 
hi = -8653 + 0.4237hi(-1) + 0.718hy – 0.4839hy(-1) 
 (3884) (0.23) (0.13) (0.14) Adjusted R-squared = .93 
In theory, investment is a positive function of national income, a negative 
function of the interest rate, and also a function of lagged investment and national 
income. We don’t have the interest rate in either China’s or Hong Kong’s 
investment functions, since interest rates are not significant in the investment 
 34 
functions. This is important, because it means monetary policy has a very limited 
effect on investment. 
Export 
China’s exports (cx): 
cx = -12910 + 0.86cx(-1) + 0.355hy 
 (19165) (0.22) (0.34) Adjusted R-squared = .927 
Hong Kong’s exports (hx): 
hx =213572 + 0.22cy - 0.18cy(-1) – 78882er 
 (26593) (0.07) (0.065) (11031) Adjusted R-squared = .94 
Exports are a function of foreign income. Both China and Hong Kong’s economic 
growth hinge on the growth of the demand for each other’s export. If foreign 
income increases, the demand for domestic goods and services also increase. In 
theory, exports are also a function of the exchange rate. If a country depreciate its 
currency, the foreign demand for the country’s good will increase, since exporting 
goods and services become cheaper for foreigners. However, the data does not 
support the use of the exchange rate in China’s export function and thus is 
omitted. 
Import 
China’s import (cm): 
cm = 60485 + 0.137cy - 34364er 
 (41560) (0.04) (17581) Adjusted R-squared = .83 
 35 
Hong Kong’s import (hm): 
hm = -33299 + 2.54hy – 0.915hy(-1) 
 (130270) (0.49) (0.44) Adjusted R-squared = .949060 
If a country has higher income, the country will have higher demand for imports. 
If a country depreciates its currency, imports will become more expensive, and 
the demand for imports will decrease. Thus, import is a function of national 
income and exchange rate. The exchange rate is not significant in Hong Kong 
import function, and thus it is excluded. That means currency depreciation played 
a very limited role for export expansion in China. 
Price level 
China’s price level (cp): 
cp = 0.12 + 0.68387cp(-1) + 0.1347cmg(-1); 
 (3.9) (0.26) (0.16) Adjusted R-squared = .297384 
Hong Kong’s price level (hp): 
 hp = 5.1533 + 0.882358hp(-1) -0.0000545hy + 0.0836hmg(-1) 
 (3.4) (0.16) (0.000025) (0.067) Adjusted R-squared = .82 
The inflation rate is a function of unemployment rate, national income, and 
money supply. We want to find whether there is a tradeoff between inflation and 
unemployment, and the data tells there is no such relationship. Also for 
 36 
institutional reasons, we don’t have data on China’s overall unemployment rate. If 
an economy prints too much money, the overall price level will increase. So the 
money supply growth (mg) has a positive relationship with inflation. By the same 
logic, if an economy’s money supply is fixed, but goods supply increases, and 
then the price level will decrease. Here we look at national income from supply 
perspective, not a source of demand pull. We observe this in Hong Kong’s 
economy. The data doesn’t support national income as an explanatory variable in 
China’s price equation. 
Wage 
China’s rural income (crw): 
crw = -4.66 + 0.27crw(-1) + 0.000256cy 
 (9.7) (0.11) (0.000037) Adjusted R-squared = .973402 
China’s urban wage (cuw): 
cuw = 2193 + 0.150806cy + 95.537cp(-1) 
 (5159) (0.0077) (144) Adjusted R-squared = .97 
Hong Kong’s wage (hw): 
hw = 236 + 0.95hw(-1) + 0.003hy(-1) 
 (159) (0.09) (0.004) Adjusted R-squared = .99 
 37 
The explanatory variables for wage equations are the unemployment rate, prices 
and national income. The wage rate is positively related to prices and national 
income while negatively related to the unemployment rate. A rise in prices leads 
to an increase in wages when workers demand more pay to offset losses incurred 
under higher price level. A reduction in unemployment and an increase in national 
income mean a higher demand for labor, and higher demand for labor leads to 
higher wages. Since unemployment is not significant in both China and Hong 
Kong’s wage equations, the variable is excluded. It is also the same reason that 
price variables are not included in Hong Kong’s wage equation. For China, we 
have two wage equations: one for the urban area, and one for the rural area. The 
urban area’s wage we use the wages of staff and workers, and the rural area’s 
wage we use annual individual net income instead. 
Unemployment rate 
China’s urban unemployment rate (cun): 
cun = 1.535 + 0.000013355cuw – 0.00184cp 
 (0.32) (0.000003) (0.010) Adjusted R-squared = .77 
Hong Kong’s unemployment rate (hun): 
hun = 0.26 -0.22hun(-1) + 0.0021hw -0.000057hy 
 (0.99) (0.31) (0.00064) (0.000025) Adjusted R-squared = .79 
Unemployment rate is negatively related to national income and positively 
related to wage. Wage increases reduce employment by raising input costs. This 
 38 
relationship is important in the simulations. Due to lack of data, we don’t have 
unemployment equation for China’s rural area. Since GDP is not significant in 
China’s urban unemployment equation and thus it is omitted. 
Interest rate 
China’s interest rate (cr): 
cr = -12.7 + 0.53cr(-1) + 0.000094ci(-1) -0.7cmg(-1) 
 (9.6) (0.4) (0.000058) (0.4) Adjusted R-squared = .13 
Hong Kong’s interest rate (hr): 
hr = 4.223 + 0.237hr(-1) -0.127hmg 
 (1.4) (0.28) (0.06) Adjusted R-squared = .25 
The interest rate is negatively related to money growth, and also the interest rate 
is influenced by investment demand. Higher investment spending increases the 
demand for credit and therefore increases the interest rate. The data doesn’t 
support investment as an explanatory variable in Hong Kong’s interest rate 
equation and thus is omitted. 
Exchange rate 
 er = 0.044 + 0.86er(-1) +0.0000036(cx(-1)-cm(-1)); 
 (0.1) (0.07) (0.00000186) Adjusted R-squared = .87 
 39 
In theory, the exchange rate is a function of the differential between China’s 
interest rate and Hong Kong’s interest rate, and it is also a function of trade 
balance –either Hong Kong’s trade balance or China’s trade balance. Here we use 
China’s trade balance. An increase in the differential between China’s interest rate 
and Hong Kong’s interest cause China’s RMB Yuan appreciate. An increase in 
the China’s trade surplus leads China has more US dollar, and thus China’s RMB 
Yuan appreciates relatively to Hong Kong dollar. 
 2.4.2 Simulations 
 In this section we report on simulations, including historical simulations 
and policy simulations. In the historical simulation, we will see the fitness of our 
estimated model. In the policy simulations, we will see how state variables in 
our model respond to the changes in policy variables. Both temporary and 
permanent changes are considered. We will do four different policy simulations: 
both fiscal and monetary policy for each economy. 
2.4.2.1 Historical Simulation 
 Figures 2.13 and 2.14 present the results of historical simulation from 
1988 to 2000 for the Chinese and Hong Kong’s economies, respectively. These 
results also will be used as a base case to which the policy simulation results are 
compared. Each figure consists of four panels: GDP, price level, unemployment 
and wage. A complete presentation of historical simulation is in Appendix A-1. 
 40 
Figure 2.13: Simulation Result for the Chinese Economy 
From Figures 2.13 and 2.14 we can see all the trends for each variable are well 
captured, especially the two wage variables and the two GDP variables are quite 
300
400
500
600
700
800
900
88 90 92 94 96 98
20
00
Panel a: China's GDP
Historical Simulated
-5
0
5
10
15
20
25
88 90 92 94 96 98
20
00
Panel b: China's Inflation
Historical Simulated
1
1.5
2
2.5
3
3.5
88 90 92 94 96 98
20
00
Panel c: China's Urban Unemployment Rate
Historical Simulated
50
60
70
80
90
100
110
120
130
140
88 90 92 94 96 98
20
00
Panel d: China's Urban Wage Income
Historical Simulated
 41 
well simulated. The predicted unemployment rates deviate a little from the 
historical values in both economies. 
Figure 2.14: Simulation Result for Hong Kong’s Economy 
50
60
70
80
90
100
110
120
130
140
150
88 90 92 94 96 98
20
00
Panel a: Hong kong's GDP
Historical Simulated
-6
-4
-2
0
2
4
6
8
10
12
14
88 90 92 94 96 98
20
00
Panel b: Hong Kong's Inflation
Historical Simulated
0
1
2
3
4
5
6
7
88 90 92 94 96 98
20
00
Panel c: Hong Kong's Unemployment Rate
Historical Simulated
1
2
3
4
5
6
7
88 90 92 94 96 98
20
00
Panel d: Hong Kong's Wage
Historical Simulated
 42 
 Figure 2.15 presents the simulation result for exchange rate and current 
account for each economy. The exchange rate is well predicted and the 
simulated current accounts capture well the trends of the variable. 
Figure 2.15: Simulation Result for Current Accounts and the Exchange Rate 
0.5
0.7
0.9
1.1
1.3
1.5
1.7
1.9
2.1
2.3
88 90 92 94 96 98
20
00
 Exchange Rate
Historical Simulated
-12
-7
-2
3
8
13
18
23
28
33
38
88 90 92 94 96 98
20
00
 China's Current Account
Historical Simulated
-5.5
-3.5
-1.5
0.5
2.5
4.5
6.5
8.5
10.5
88 90 92 94 96 98
20
00
 Hong Kong's Current Account
Historical Simulated
 43 
2.4.2.2 Policy Simulations 
 We will see what happens if each economy changes its government 
expenditure and money growth rate. Only policy expansion cases ― increases of 
government expenditure and money growth rate ― are considered. The increases 
of each policy instrument include both temporary and permanent increases. The 
temporary increase refers to the increase in the initial year, and the permanent 
increase refers to the increase during the entire time period. 
2.4.2.2.1 Fiscal expansion 
 First we let China’s government expenditure increase by10% in 1988, that 
is an increase of $5,127 million. This leads to China’s GDP increase of $26,025 
million ―about 5 times the increase in the government expenditure. All other 
variables are affected to different extents by this change in 1988. Figures 2.16 
and 2.17 show the results of China’s fiscal expansion for the Chinese and Hong 
Kong’s economies respectively, where “tempg” stands for the case: China’s 
temporary fiscal expansion. Each figure consists of two variables: GDP and 
unemployment rate, and each variable has two panels – one shows the base case 
and temporary fiscal expansion, and the other shows the base case and permanent 
fiscal expansion. A complete presentation of the simulation is attached in 
Appendix B. We can see the temporary fiscal expansion has negligible effect on 
the variables in the subsequent years in the model. One reason for this is that the 
fiscal expansion has little effect on the price variables in the model for both 
economies, even for the first couple of periods ( the price variables are shown in 
Appendix A-2 ), so the price variables are almost intact in the subsequent years. 
 44 
The other reason is that the effects due to the expansion are canceled out. For 
example, in China’s investment function: 
 CI = 10611 + 0.65CI(-1) + 0.46CY – 0.35CY(-1) 
We can see, initially when China’s government expenditure increases, both CI 
and CY increase in the first year, and the increase in CY is bigger than the 
Figure 2.16: China’s Fiscal Expansion Results for the Chinese Economy 
Temporary Changes
1
1.5
2
2.5
3
3.5
88 90 92 94 96 98
20
00
Panel c: China's Urban Unemployment Rate
base tempg
Temporary Changes
300
400
500
600
700
800
900
88 90 92 94 96 98
20
00
Panel a: China's GDP
base tempg
Permanent Change
300
400
500
600
700
800
900
1000
88 90 92 94 96 98
20
00
Panel b: China's GDP
base permg
Permanent Changes
1
1.5
2
2.5
3
3.5
88 90 92 94 96 98
20
00
Panel d: China's Urban Unemployment Rate
base permg
 45 
increase in CI. So, when we calculate CI in the second year according to the 
equation, the increase in CY and the rise in CI are cancelled out, because CY’s 
coefficient is negative, and further the absolute value of CY’s coefficient is 
Figure 17: China’s Fiscal Expansion Results for the Hong Kong’s Economy 
Temporary Changes
0
1
2
3
4
5
6
88 90 92 94 96 98
20
00
Panel c: Hong Kong's Unemployment Rate
base tempg
Temporary Changes
50
60
70
80
90
100
110
120
130
140
88 90 92 94 96 98
20
00
 Panel a: Hong Kong's GDP
base tempg
Permanent Changes
50
60
70
80
90
100
110
120
130
140
150
88 90 92 94 96 98
20
00
 Panel b: Hong Kong's GDP
base permg
Permanent Changes
0
1
2
3
4
5
6
88 90 92 94 96 98
20
00
Panel d: Hong Kong's Unemployment Rate
base permg
 46 
smaller than CI’s. Even though CY has a bigger increase from the beginning, it 
played a smaller role in the investment equation due to the smaller coefficient. 
So, the effects are cancelled out when we calculate subsequent year’s investment. 
 In the permanent China’s fiscal expansion case, we let China’s 
government expenditure increase 10% each year from 1988 to 2000. Figures 2.16 
and 2.17 also present this change, which is represented by “permg” in each 
graph. As in the temporary case, China’s permanent fiscal expansion not only has 
a big effect on China’s GDP and unemployment, but also has important effects 
on Hong Kong’s GDP and unemployment. Higher government expenditure leads 
to higher GDP, higher GDP gives rise to higher consumption, higher investment 
and higher wage rate, and higher wage rate results in higher unemployment rate. 
At the same time, China’s higher GDP lets China import more, and Hong Kong 
export more. With higher export, Hong Kong has a higher GDP, which lets Hong 
Kong have a higher consumption, higher investment and higher wage rate, and 
higher wage rate gives rise to higher unemployment. China’s fiscal expansion has 
small effect on the price variables in the model, which is not shown here and can 
be seen in Appendix B. China’s interest rate has a positive relationship with 
fiscal expansion, since higher investment leads to higher interest rate, but the 
effect is small. China’s price level is a function of its own lag and China’s money 
supply, and government expenditure is negligible in the effect on the price level. 
Hong Kong’s interest rate is a function of its own lag and Hong Kong’s money 
supply, so China’s fiscal expansion also has a negligible effect on Hong Kong’s 
interest. Hong Kong’s price level is a function of its own lag, Hong Kong’s 
 47 
money supply and Hong Kong’s GDP. Higher GDP means higher supply and 
higher supply leads to lower price. Since China’s fiscal expansion affect Hong 
Kong’s GDP, it also affects Hong Kong’s price, but the effect is small. Table 2.3 
shows this effect. 
 Table 2.3: The Effect of China’s Fiscal Expansion on Hong Kong’s Price 
Above we have seen what happens in the two economies if China increases its 
government expenditure. Figure 2.18 presents what happens to the Hong Kong 
Year Price Change(%) 
1988 0.13005 
1989 0.14429 
1990 0.1194 
1991 0.12942 
1992 0.14956 
1993 0.1791 
1994 0.15536 
1995 0.17429 
1996 0.19962 
1997 0.21722 
1998 0.23285 
1999 0.24985 
2000 0.27233 
 48 
economy if Hong Kong has a fiscal expansion. The analysis of Hong Kong’s 
fiscal expansion is the same as China’s fiscal expansion. The only difference is 
that Hong Kong’s fiscal expansion has very small effect on China’s economy due 
to its small size of economy. 
Figure 2.18: Hong Kong’s Fiscal Expansion Results for the Hong Kong’s 
Economy 
 80
100
120
140
160
180
200
88 90 92 94 96 98
20
00
Panel d: Hong Kong's Import 
base permhg
-4
-2
0
2
4
6
8
10
12
14
88 90 92 94 96 98
20
00
Panel b: Hong Kong's Price Level
base permhg
0
1
2
3
4
5
6
88 90 92 94 96 98
20
00
Panel c: Hong Kong's Unemployment Rate
base permhg
50
60
70
80
90
100
110
120
130
140
88 90 92 94 96 98
20
00
Panel a: Hong Kong's GDP
base permhg
 49 
2.4.2.2.2 Monetary Expansion 
 Both a monetary expansion in China and a monetary expansion in Hong 
Kong have a negligible effect on the other economy. Even in the same economy, 
the effect of monetary expansion is limited: Only the price variables are 
significantly affected, since interest rates do not affect investment in the model. 
Figures 2.19 and 2.20 show the results of China’s monetary expansion on the 
Chinese price variables and Hong Kong’s monetary expansion on the Hong 
Kong’s price variables respectively, where “permm” stands for China’s 
permanent monetary expansion, and “permhm” represents Hong Kong’s 
permanent monetary expansion. In both economies, higher money growth lead to 
higher price level and lower interest rate. 
Figure 2.19: China’s Monetary Expansion Results on China’s Price Variables 
-10
-5
0
5
10
15
20
25
30
88 90 92 94 96 98
20
00
Panel b: China's Interest Rate
base permm
-2
0
2
4
6
8
10
12
14
16
18
88 90 92 94 96 98
20
00
Panel a: China's Inflation 
base permm
 50 
Figure 2.20: Hong Kong’s Monetary Expansion Results for Hong Kong’s Price 
Variables 
2.5 THE MODEL WITH PRICE VARIABLES IN THE CONTROL THEORY 
FRAMEWORK 
Now we put the model into the control theory framework. Table 4 presents 
the desired paths for the new state and control variables: the added price variables. 
With Table 2.1, Table 2.4 completes the desired paths for all variables. The 
desired paths for the new variables are the means of their historical values. Table 
2.5 shows the penalty weights for the new state and control variables. To get the 
penalty weights we used the same procedure as we did for the old variables in 
Table 2.2. 
-5
-3
-1
1
3
5
7
9
11
13
15
88 90 92 94 96 98
20
00
Panel a: Hong Kong's Inflation
base permhm
0
1
2
3
4
5
6
7
88 90 92 94 96 98
20
00
Panel b: Hong Kong's Interest Rate
base permhm
 51 
Table 4.4: Desired Paths for the new State and Control Variables 
Year CP CRW CUW CUN CR HP HW HUN HR ER CMG HMG 
1987 7.4 124 51 2.67 0.17 6.2 1.73 2.66 3.8 1.26 12 8.5 
1988 7.4 132 54 2.67 0.17 6.2 1.92 2.66 3.8 1.26 12 8.5 
1989 7.4 140 58 2.67 0.17 6.2 2.12 2.66 3.8 1.26 12 8.5 
1990 7.4 149 63 2.67 0.17 6.2 2.35 2.66 3.8 1.26 12 8.5 
1991 7.4 158 67 2.67 0.17 6.2 2.6 2.66 3.8 1.26 12 8.5 
1992 7.4 168 72 2.67 0.17 6.2 2.88 2.66 3.8 1.26 12 8.5 
1993 7.4 178 78 2.67 0.17 6.2 3.18 2.66 3.8 1.26 12 8.5 
1994 7.4 190 84 2.67 0.17 6._. 3288.00 3288.00 3288.00 
 6.60 6.60 6.60 6.60 
 11.30 11.30 11.30 11.30 
 24.00 24.00 24.00 24.00 
 4.80 4.80 4.80 4.80 
 193 
 5.00 5.00 5.00 5.00 
 90.00 90.00 90.00 90.00 
 154.00 154.00 154.00 154.00 
 210.00 210.00 210.00 210.00 
 147.00 147.00 147.00 147.00 
 444.00 444.00 444.00 444.00 
 lams 
 7.90 7.90 7.90 7.90 7.90 
 47.00 47.00 47.00 47.00 47.00 
 80.50 80.50 80.50 80.50 80.50 
 66.00 66.00 66.00 66.00 66.00 
 lams 
 7.90 7.90 7.90 7.90 7.90 
 47.00 47.00 47.00 47.00 47.00 
 80.50 80.50 80.50 80.50 80.50 
 66.00 66.00 66.00 66.00 66.00 
 lams 
 7.90 7.90 7.90 
 47.00 47.00 47.00 
 80.50 80.50 80.50 
 66.00 66.00 66.00 
 x0 
 359236.00 
 184088.00 
 194 
 133468.00 
 45333.00 
 49667.00 
 7.30 
 124.00 
 50539.00 
 2.00 
 -0.10 
 54185.00 
 32090.00 
 14945.00 
 66163.00 
 62814.00 
 5.50 
 1731.00 
 1.70 
 2.13 
 2.09 
 xtws 
 359236.00 382606.00 407496.00 434006.00 462240.00 
 184088.00 195170.00 206918.00 219374.00 232579.00 
 133468.00 141896.00 150855.00 160380.00 170507.00 
 45333.00 50600.00 56479.00 63041.00 70365.00 
 49667.00 54620.00 60067.00 66057.00 72645.00 
 195 
 7.40 7.40 7.40 7.40 7.40 
 124.00 132.00 140.00 149.00 158.00 
 50539.00 54307.00 58357.00 62708.00 67384.00 
 2.67 2.67 2.67 2.67 2.67 
 0.17 0.17 0.17 0.17 0.17 
 54185.00 57730.00 61506.00 65530.00 69817.00 
 32091.00 34140.00 36319.00 38638.00 41105.00 
 14945.00 15922.00 16962.00 18070.00 19251.00 
 66163.00 71616.00 77518.00 83906.00 90821.00 
 62814.00 68094.00 73819.00 80025.00 86753.00 
 6.20 6.20 6.20 6.20 6.20 
 1731.00 1916.00 2121.00 2348.00 2599.00 
 2.66 2.66 2.66 2.66 2.66 
 3.80 3.80 3.80 3.80 3.80 
 1.26 1.26 1.26 1.26 1.26 
 xtws 
 492310.00 524337.00 558448.00 594778.00 633471.00 
 246579.00 261422.00 277159.00 293843.00 311531.00 
 181273.00 192719.00 204888.00 217825.00 231579.00 
 78540.00 87664.00 97849.00 109217.00 121906.00 
 79890.00 87857.00 96618.00 106254.00 116850.00 
 7.40 7.40 7.40 7.40 7.40 
 168.00 178.00 190.00 201.00 214.00 
 72409.00 77808.00 83610.00 89844.00 96544.00 
 196 
 2.67 2.67 2.67 2.67 2.67 
 0.17 0.17 0.17 0.17 0.17 
 74385.00 79251.00 84436.00 89960.00 95845.00 
 43730.00 46522.00 49492.00 52652.00 56014.00 
 20509.00 21849.00 23276.00 24797.00 26417.00 
 98306.00 106408.00 115177.00 124669.00 134944.00 
 94046.00 101953.00 110524.00 119815.00 129888.00 
 6.20 6.20 6.20 6.20 6.20 
 2877.00 3184.00 3524.00 3901.00 4318.00 
 2.66 2.66 2.66 2.66 2.66 
 3.80 3.80 3.80 3.80 3.80 
 1.26 1.26 1.26 1.26 1.26 
 xtws 
 674681.00 718572.00 765318.00 815105.00 
 330284.00 350166.00 371244.00 393591.00 
 246202.00 261747.00 278275.00 295845.00 
 136069.00 151878.00 169523.00 189218.00 
 128504.00 141319.00 155412.00 170911.00 
 7.40 7.40 7.40 7.40 
 227.00 241.00 256.00 272.00 
 103743.00 111479.00 119791.00 128724.00 
 2.67 2.67 2.67 2.67 
 0.17 0.17 0.17 0.17 
 102116.00 108796.00 115914.00 123497.00 
 197 
 59591.00 63396.00 67443.00 71750.00 
 28144.00 29982.00 31942.00 34029.00 
 146065.00 158102.00 171132.00 185236.00 
 140808.00 152546.00 165479.00 179390.00 
 6.20 6.20 6.20 6.20 
 4779.00 5290.00 5856.00 6481.00 
 2.66 2.66 2.66 2.66 
 3.80 3.80 3.80 3.80 
 1.26 1.26 1.26 1.26 
 utws 
 51269.00 54526.00 57990.00 61674.00 65592.00 
 12.00 12.00 12.00 12.00 12.00 
 4248.00 4628.00 5042.00 5492.00 5984.00 
 8.50 8.50 8.50 8.50 8.50 
 utws 
 69760.00 74191.00 78905.00 83917.00 89249.00 
 12.00 12.00 12.00 12.00 12.00 
 6519.00 7102.00 7737.00 8429.00 9183.00 
 8.50 8.50 8.50 8.50 8.50 
 utws 
 94919.00 100949.00 107362.00 
 12.00 12.00 12.00 
 10004.00 10899.00 11874.00 
 8.50 8.50 8.50 
 198 
Appendix B-1: Comparison of Different Money Supply 
ADebug File 
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1981 1984 1987 1990 1993 1996 1999
Panel a: Exchange Rate Difference
higher-cm highest-cm
-7
-6
-5
-4
-3
-2
-1
1981 1984 1987 1990 1993 1996 1999
Panel b: Interest Rate Difference
higher-cm highest-cm
-7.5
-7
-6.5
-6
-5.5
-5
-4.5
-4
-3.5
1981 1984 1987 1990 1993 1996 1999
Panel c: Income Difference
higher-cm highest-cm
-5
-4
-3
-2
1981 1984 1987 1990 1993 1996 1999
Panel d: Money Supply Difference
higher-cm highest-cm
0
1
2
3
4
5
6
1981 1984 1987 1990 1993 1996 1999
Panel e: China's Current Account
higher-cm highest-cm
 199 
Appendix B-2: Duali Input File 
 a 
 0.88 0.00 2.15 
 0.00 0.00 27.22 
 0.00 0.00 0.81 
 b 
 -5.46 -0.04 
 -60.58 0.00 
 0.34 0.00 
 capc 
 -5.71 
 -49.82 
 -0.14 
 zs 
 1.00 1.00 1.00 1.00 1.00 
 zs 
 1.00 1.00 1.00 1.00 1.00 
 zs 
 1.00 1.00 1.00 1.00 1.00 
 zs 
 1.00 1.00 1.00 1.00 
 cs 
 200 
 -5.71 -5.71 -5.71 -5.71 -5.71 
 -49.82 -49.82 -49.82 -49.82 -49.82 
 -0.14 -0.14 -0.14 -0.14 -0.14 
 cs 
 -5.71 -5.71 -5.71 -5.71 -5.71 
 -49.82 -49.82 -49.82 -49.82 -49.82 
 -0.14 -0.14 -0.14 -0.14 -0.14 
 cs 
 -5.71 -5.71 -5.71 -5.71 -5.71 
 -49.82 -49.82 -49.82 -49.82 -49.82 
 -0.14 -0.14 -0.14 -0.14 -0.14 
 cs 
 -5.71 -5.71 -5.71 -5.71 
 -49.82 -49.82 -49.82 -49.82 
 -0.14 -0.14 -0.14 -0.14 Debug File for 
QLP 
 ws 
 16.70 16.70 16.70 16.70 16.70 
 1.80 1.80 1.80 1.80 1.80 
 1.00 1.00 1.00 1.00 1.00 
 ws 
 16.70 16.70 16.70 16.70 16.70 
 1.80 1.80 1.80 1.80 1.80 
 201 
 1.00 1.00 1.00 1.00 1.00 
 ws 
 16.70 16.70 16.70 16.70 16.70 
 1.80 1.80 1.80 1.80 1.80 
 1.00 1.00 1.00 1.00 1.00 
 ws 
 16.70 16.70 16.70 16.70 16.70 
 1.80 1.80 1.80 1.80 1.80 
 1.00 1.00 1.00 1.00 1.00 
 lams 
 2.30 2.30 2.30 2.30 2.30 
 1.00 1.00 1.00 1.00 1.00 
 lams 
 2.30 2.30 2.30 2.30 2.30 
 1.00 1.00 1.00 1.00 1.00 
 lams 
 2.30 2.30 2.30 2.30 2.30 
 1.00 1.00 1.00 1.00 1.00 
 lams 
 2.30 2.30 2.30 2.30 
 1.00 1.00 1.00 1.00 
 x0 
 0.75 
 -2.51 
 202 
 -3.90 
 xtws 
 0.75 0.70 0.65 0.60 0.55 
 -2.70 -2.70 -2.70 -2.70 -2.70 
 -3.96 -4.06 -4.16 -4.26 -4.37 
 xtws 
 0.50 0.45 0.40 0.35 0.30 
 -2.70 -2.70 -2.70 -2.70 -2.70 
 -4.47 -4.58 -4.69 -4.81 -4.93 
 xtws 
 0.25 0.20 0.15 0.10 0.05 
 -2.70 -2.70 -2.70 -2.70 -2.70 
 -5.05 -5.17 -5.30 -5.43 -5.56 
 xtws 
 0.00 0.00 0.00 0.00 0.00 
 -2.70 -2.70 -2.70 -2.70 -2.70 
 -5.70 -5.83 -5.98 -6.12 -6.27 
 utws 
 -1.33 -1.40 -1.47 -1.55 -1.62 
 5.00 5.00 5.00 5.00 5.00 
 utws 
 -1.71 -1.79 -1.88 -1.98 -2.08 
 5.00 5.00 5.00 5.00 5.00 
 utws 
 203 
 -2.18 -2.29 -2.41 -2.53 -2.66 
 5.00 5.00 5.00 5.00 5.00 
 utws 
 -2.79 -2.93 -3.08 -3.23 
 5.00 5.00 5.00 5.00 
 204 
Appendix C-1: Constant Inequality, Growth, and Inflation 
1
2
3
4
5
1998 2001 2004 2007 2010
Panel a: Urban Income Inequality
desired solution new
10
13
16
19
1998 2001 2004 2007 2010
Panel b: Rural Income Inequality
desired solution new
3
7
11
1998 2001 2004 2007 2010
Panel c: Per Capita GDP Growth
desired solution new
6
8
10
12
1998 2001 2004 2007 2010
Panel d: Inflation
desired solution new
0
2
4
6
1998 2000 2002 2004 2006 2008
Panel e: Urban Degree of Reform
desired solution new
49.45
49.48
49.51
49.54
1998 2001 2004 2007
Panel f: Foreign Direct Investment
desired solution new
 205 
70
73
76
79
1998 2000 2002 2004 2006 2008
Panel g: Rural Degree of Reform
desired solution new
0.2
0.4
0.6
0.8
1998 2000 2002 2004 2006 2008
Panel h: Agriculture Tax
desired solution new
8
12
16
20
1998 2000 2002 2004 2006 2008
Panel i: International Trade
desired solution new
8
12
16
20
1998 2000 2002 2004 2006 2008
Panel j: Fixed Assets Investment
desired solution new
4.2
4.3
4.4
4.5
4.6
1998 2000 2002 2004 2006 2008
Panel k: Human Capital
desired solution new
23
24
25
26
27
1998 2000 2002 2004 2006 2008
Panel l: Money Growth
desired solution new
 206 
Appendix C-2 Duali Input File 
a 
 0.14 0.00 0.00 0.00 
 0.00 0.67 0.00 0.01 
 0.08 0.12 0.31 0.00 
 0.00 0.01 0.02 0.53 
 b 
 0.92 0.00 0.00 -0.00 0.00 
 0.00 0.00 0.52 -2.29 0.00 
 0.55 0.00 0.09 -0.41 0.09 
 0.03 0.00 0.00 -0.02 0.00 
 b 
 0.00 0.00 0.00 
 0.00 0.00 0.01 
 0.11 0.05 0.00 
 0.01 0.00 0.53 
 capc 
 0.72 
 -33.43 
 -6.96 
 -9.04 
 z 
 207 
 1.00 
 cs 
 0.72 0.72 0.72 0.72 0.72 
 -33.43 -33.43 -33.43 -33.43 -33.43 
 -6.96 -6.96 -6.96 -6.96 -6.96 
 -9.04 -9.04 -9.04 -9.04 -9.04 
 cs 
 0.72 0.72 0.72 0.72 0.72 
 -33.43 -33.43 -33.43 -33.43 -33.43 
 -6.96 -6.96 -6.96 -6.96 -6.96 
 -9.04 -9.04 -9.04 -9.04 -9.04 
 cs 
 0.72 0.72 
 -33.43 -33.43 
 -6.96 -6.96 
 -9.04 -9.04 Debug File for QLP 
 ws 
 18.00 18.00 18.00 18.00 18.00 
 4.00 4.00 4.00 4.00 4.00 
 8.00 8.00 8.00 8.00 8.00 
 8.00 8.00 8.00 8.00 8.00 
 ws 
 18.00 18.00 18.00 18.00 18.00 
 208 
 4.00 4.00 4.00 4.00 4.00 
 8.00 8.00 8.00 8.00 8.00 
 8.00 8.00 8.00 8.00 8.00 
 ws 
 18.00 18.00 18.00 
 4.00 4.00 4.00 
 8.00 8.00 8.00 
 8.00 8.00 8.00 
 lams 
 22.00 22.00 22.00 22.00 22.00 
 1.50 1.50 1.50 1.50 1.50 
 1.00 1.00 1.00 1.00 1.00 
 165.00 165.00 165.00 165.00 165.00 
 5.00 5.00 5.00 5.00 5.00 
 5.00 5.00 5.00 5.00 5.00 
 17.00 17.00 17.00 17.00 17.00 
 3.00 3.00 3.00 3.00 3.00 
 lams 
 22.00 22.00 22.00 22.00 22.00 
 1.50 1.50 1.50 1.50 1.50 
 1.00 1.00 1.00 1.00 1.00 
 165.00 165.00 165.00 165.00 165.00 
 5.00 5.00 5.00 5.00 5.00 
 5.00 5.00 5.00 5.00 5.00 
 209 
 17.00 17.00 17.00 17.00 17.00 
 3.00 3.00 3.00 3.00 3.00 
 lams 
 22.00 22.00 
 1.50 1.50 
 1.00 1.00 
 165.00 165.00 
 5.00 5.00 
 5.00 5.00 
 17.00 17.00 
 3.00 3.00 
 x0 
 4.40 
 18.00 
 9.53 
 9.50 
 xtws 
 4.40 4.40 4.40 4.40 4.40 
 18.00 18.00 18.00 18.00 18.00 
 9.53 9.53 9.53 9.53 9.53 
 9.50 9.50 9.50 9.50 9.50 
 xtws 
 4.40 4.40 4.40 4.40 4.40 
 18.00 18.00 18.00 18.00 18.00 
 210 
 9.53 9.53 9.53 9.53 9.53 
 9.50 9.50 9.50 9.50 9.50 
 xtws 
 4.40 4.40 4.40 
 18.00 18.00 18.00 
 9.53 9.53 9.53 
 9.50 9.50 9.50 
 utws 
 3.54 3.54 3.54 3.54 3.54 
 49.50 49.50 49.50 49.50 49.50 
 77.39 77.39 77.39 77.39 77.39 
 0.47 0.47 0.47 0.47 0.47 
 14.40 14.40 14.40 14.40 14.40 
 17.00 17.00 17.00 17.00 17.00 
 4.50 4.50 4.50 4.50 4.50 
 26.00 26.00 26.00 26.00 26.00 
 utws 
 3.54 3.54 3.54 3.54 3.54 
 49.50 49.50 49.50 49.50 49.50 
 77.39 77.39 77.39 77.39 77.39 
 0.47 0.47 0.47 0.47 0.47 
 14.40 14.40 14.40 14.40 14.40 
 17.00 17.00 17.00 17.00 17.00 
 4.50 4.50 4.50 4.50 4.50 
 211 
 26.00 26.00 26.00 26.00 26.00 
 utws 
 3.54 3.54 
 49.50 49.50 
 77.39 77.39 
 0.47 0.47 
 14.40 14.40 
 17.00 17.00 
 4.50 4.50 
 26.00 26.00 
 212 
Appendix D-1: Data-China 
Year GDP (1 million us$ 1990 price) C I G 
1978 427864.0415 209198.4489 163864.7847 57083.31275 
1979 469941.5831 231989.3969 170538.9294 71028.96665 
1980 480025.5147 245120.6956 168202.454 69714.09884 
1981 411762.3527 219281.3506 133129.9932 59365.36697 
1982 390191.2091 205121.5269 125895.2236 55072.90203 
1983 400962.0591 211195.2174 133054.646 55610.8695 
1984 385351.4796 198495.0813 133352.8256 55100.00896 
1985 360728.7738 189806.4905 140048.9816 48971.64627 
1986 344017.7298 178480.7343 132644.8124 47146.50508 
1987 359235.9903 184088.3916 133468.0984 46012.83357 
1988 432436.8439 226602.3116 163128.965 51269.10327 
1989 458972.834 238497.0269 170544.8911 56885.60517 
1990 381021.4499 190501.2751 134704.6281 47075.54664 
1991 380281.5311 185997.6322 135532.9347 51025.43638 
1992 436062.5834 210362.8994 162687.7557 58961.64894 
1993 540998.3939 246088.7064 235349.0804 70609.43172 
1994 475996.38 212918.3479 197067.4938 61248.63354 
1995 604981.759 276725.1915 245221.3772 68712.72036 
1996 680433.2271 322262.9157 269290.2905 78696.68759 
1997 739954.0848 342108.7383 279320.1939 85636.62529 
1998 770001.5922 357336.1204 285956.1952 91797.41759 
1999 785508.1908 372959.7293 291105.5063 98499.47009 
2000 815105.4965 393591.3652 295845.4295 107361.9441 
 213 
Year X M 
Exchange 
rate7 US Cpi (ifs) US Cpi percent (ifs) 
1978 19521.42265 21803.92745 1.6836 49.94513041 7.54 
1979 24572.43631 28188.14619 1.555 55.59074334 11.30363036 
1980 28722.42876 31734.16246 1.4984 63.08658697 13.48397806 
1981 31601.95401 31616.31201 2.2524 69.64759202 10.4 
1982 30213.44608 26111.88956 2.38 73.87439334 6.06884058 
1983 29145.81 28044.48385 2.396 76.27168365 3.245089667 
1984 32858.93356 34455.36989 2.558 79.55218617 4.301075269 
1985 33220.7869 51319.1315 2.9367 82.32797159 3.489263526 
1986 36844.50467 51098.82661 3.4528 83.97453102 2 
1987 45333.33333 49666.66667 4.55 87 3.602841176 
1988 52508.28729 61071.8232 5.01 90.5 4.022988506 
1989 55363.54057 62318.22972 4.77 94.9 4.861878453 
1990 62090 53350 5.29 100 5.374077977 
1991 68944.33781 61218.80998 5.77 104.2 4.2 
1992 79087.52328 75037.24395 6.82 107.4 3.071017274 
1993 82947.55877 93996.38336 8.1 110.6 2.979515829 
1994 106710.7584 101948.8536 8.6187 113.4 2.53164557 
1995 127598.6278 113276.1578 8.3507 116.6 2.821869489 
1996 125875 115691.6667 8.3142 120 2.915951973 
1997 148730.6753 115842.1481 8.2898 122.9 2.416666667 
1998 147283.6538 112371.7949 8.2791 124.8 1.545972335 
1999 153006.2794 130062.7943 8.2783 127.4 2.083333333 
2000 189217.9195 170911.1617 8.2784 131.7 3.4 
7 The data from 1987-1992 is from the world bank (1994), 93’s data is estimated; 94-2000’s data 
is from China Statistical Yearbook; 78-79 and 85-86 year data are official rate according to 
Zhongxia Jin (1995); 1981-1984’s data is estimated (per settlement rate 2.8 and official rate 
weighted by export divided by total trade. 
 214 
Year China cpi (General Retail price index) 
interest 
rate 
real interest 
rate 
m1 (1 million 
us$) 
1978 100.7 4 3.3 112799.0045 
1979 102 4 2 136169.7014 
1980 106 5.4 -0.6 152693.9761 
1981 102.4 5.4 3 144059.9572 
1982 101.9 5.8 3.9 136924.1086 
1983 101.5 5.8 4.3 144833.798 
1984 102.8 5.8 3 158363.9081 
1985 108.8 7.2 -1.6 138183.5921 
1986 106 7.2 1.2 145964.4761 
1987 107.3 7.2 -0.1 152818.1934 
1988 118.5 8.6 -9.9 177702.215 
1989 117.8 11.3 -6.5 178581.0671 
1990 102.1 8.6 6.5 159055.5625 
1991 102.9 7.6 4.7 168731.9227 
1992 105.4 7.6 2.2 198066.7711 
1993 113.2 11 -2.2 255472.5409 
1994 121.7 11 -10.7 210165.014 
1995 114.8 11 -3.8 246352.1253 
1996 106.1 7.7 1.6 285804.2065 
1997 100.8 5.7 4.9 341830.965 
1998 97.4 3.8 6.4 377008.3782 
1999 97 2.3 5.3 434617.7433 
2000 98.5 2.42 3.92 487470.3522 
 215 
Year 
m2(1 million 
us$) 
total industry gross value 
 (million us$) 
state-owned industry 
 (million us$) 
1978 137844.3079 503879.1586 391161.0222 
1979 168676.4434 541543.8137 424970.7034 
1980 194956.165 545257.3461 414222.3451 
1981 188158.7411 454694.9238 339948.827 
1982 185230.9113 415637.3373 309409.5769 
1983 204061.3648 428723.9687 314513.3113 
1984 223981.5364 411483.6258 284289.0364 
1985 215032.6789 401884.7397 260663.1684 
1986 231797.327 386079.1777 240427.1723 
1987 257267.3256 426560.2751 254771.8242 
1988 299830.7407 541029.4581 307296.3771 
1989 334363.1223 616061.8703 345368.6541 
1990 319691.4587 500104.5194 273088.3398 
1991 348882.3644 480053.7963 269641.4845 
1992 428873.6932 584146.2909 300928.4514 
1993 547334.9016 759525.6826 356601.4036 
1994 480104.2825 718015.4534 268079.1566 
1995 623919.3062 943769.0344 320635.3979 
1996 762700.1596 998241.9635 362562.4434 
1997 893147.1678 1116324.764 353037.1055 
1998 1011380.139 1152190.765 325396.5267 
1999 1136845.246 1195755.482 337276.0366 
2000 1234656.395 1362989.382 296010.5269 
 216 
Year 
annual average wages of 
staff and workers(us$) 
total wages ( 1 million usd) of 
 staff and workers 
1978 731.3799446 67655.61797 
1979 772.7581388 74800.21146 
1980 806.1023265 81710.4248 
1981 650.0718199 69049.07932 
1982 570.7555301 63090.65829 
1983 548.1453247 62021.38262 
1984 526.151066 61225.83349 
1985 474.8264351 57202.52263 
1986 458.3592191 57241.44439 
1987 450.5551958 58090.43035 
1988 518.6283927 68760.56572 
1989 541.4345598 73268.54754 
1990 447.3431164 61689.4519 
1991 421.9064351 59930.54699 
1992 457.707042 66506.80856 
1993 528.9783637 77145.16262 
1994 464.3117487 68105.87757 
1995 564.8605664 83188.55615 
1996 622.4290972 91008.95656 
1997 635.0506208 92315.94442 
1998 723.8454013 89974.98025 
1999 791.3485146 93637.2 
2000 859.5155851 97740 
 217 
Year Per Capital Annual net income of Rural(us$) # of staff and workers (10000persons) 
1978 158.8818872 9499 
1979 185.2884298 9967 
1980 202.3718833 10444 
1981 188.1503205 10940 
1982 193.1914489 11281 
1983 205.567769 11515 
1984 191.9479038 11890 
1985 164.4520824 12358 
1986 146.1645125 12809 
1987 142.8559517 13214 
1988 161.7633722 13608 
1989 168.3064019 13742 
1990 143.4633555 14059 
1991 137.9143264 14508 
1992 132.3652973 14792 
1993 144.6177573 14849 
1994 124.9283044 14849 
1995 162.032821 14908 
1996 193.0532503 14845 
1997 205.1498149 14668 
1998 209.2463909 12337 
1999 209.5755598 11773 
2000 206.6854775 11259 
 218 
Year employed person total (10000persons) employed person rural (10000persons) 
1978 40152 30638 
1979 41024 31025 
1980 42361 31836 
1981 43725 32672 
1982 45295 33867 
1983 46436 34690 
1984 48197 35968 
1985 49873 37065 
1986 51282 37990 
1987 52783 39000 
1988 54334 40067 
1989 55329 40939 
1990 63909 47293 
1991 64799 47822 
1992 65554 48313 
1993 66373 48784 
1994 67199 48786 
1995 67947 48854 
1996 68850 49035 
1997 69600 49393 
1998 69957 49279 
1999 70586 49572 
2000 71150 49876 
 219 
Year employed person urban (10000persons) urban unployment rate(%) 
1978 9514 5.3 
1979 9999 5.1 
1980 10525 4.9 
1981 11053 3.8 
1982 11428 3.2 
1983 11746 2.3 
1984 12229 1.9 
1985 12808 1.8 
1986 13292 2 
1987 13783 2 
1988 14267 2 
1989 14390 2.6 
1990 16616 2.5 
1991 16977 2.3 
1992 17241 2.3 
1993 17589 2.6 
1994 18413 2.8 
1995 19093 2.9 
1996 19815 3 
1997 20207 3.1 
1998 20678 3.1 
1999 21014 3.1 
2000 21274 3.1 
 220 
Appendix D-2: Data-Hong Kong 
Year 
GDP(us$ million 1990 
price) C I G 
1987 54184.68632 32090.60384 14945.03454 3799.824889 
1988 64410.29213 36051.31624 18438.99649 4247.75955 
1989 70770.987 38863.71619 18868.30942 4897.598011 
1990 74781.64313 42420.92426 20475.48139 5556.225931 
1991 82559.02957 48299.31452 22455.03547 6356.375431 
1992 93739.54303 54327.52206 26701.88026 7706.432435 
1993 104908.0553 60228.03136 29045.29398 8454.285265 
1994 115351.0586 67628.39999 36785.88317 9546.129241 
1995 119415.0757 72559.11636 41599.41003 10447.24626 
1996 128425.3513 77805.57711 41169.8345 11247.41402 
1997 139135.4082 83915.59444 48058.84822 11954.80613 
1998 130285.2543 78859.18955 37806.44254 12183.21167 
1999 124210.4671 74220.74666 30992.77072 12289.43597 
2000 123497.3438 71749.55196 34028.6141 11873.79437 
 221 
Year Export Import 
Per Capita 
GDP(us$) 
GDP 
Deflator CPI 
1987 66162.85343 62813.63037 8.9 5.5 
1988 85505.97854 79833.7587 11445.36785 9.5 7.5 
1989 94249.81762 86108.45424 12446.02956 12.3 10.1 
1990 100410.1412 94081.12965 13109.24262 7.5 9.7 
1991 114478.1116 109029.8074 14353.1576 9.2 11.6 
1992 134030.0997 129026.3914 16160.65464 9.7 9.3 
1993 147696.8954 140516.4506 17775.44596 8.5 8.5 
1994 160971.3733 159580.7271 19144.5204 6.9 8.1 
1995 178462.3715 183653.0684 19907.81555 2.5 8.7 
1996 182538.682 184336.1564 19955.82277 5.9 6 
1997 184355.2409 189149.0815 21440.7523 5.8 5.7 
1998 168471.4911 167035.0805 19910.07432 0.4 2.6 
1999 165684.4426 158976.9289 18801.27386 -5.4 -3.3 
2000 185235.8313 179390.4479 18529.25523 -6.6 -2.9 
 222 
Year 
Real 
GDP 
Ex rate(year 
average) 
unemployment 
rate 
M1(HK current $ million, 
end year) 
1987 13 7.798 1.7 81900 
1988 8 7.806 1.4 88800 
1989 2.6 7.8 1.1 94900 
1990 3.4 7.79 1.3 107509 
1991 5.1 7.771 1.8 128500 
1992 6.3 7.741 2 155600 
1993 6.1 7.736 2 187600 
1994 5.4 7.728 1.9 185334 
1995 3.9 7.736 3.2 190471 
1996 4.5 7.734 2.8 217460 
1997 5 7.742 2.2 208093 
1998 -5.3 7.745 4.7 197666 
1999 3 7.758 6.2 225156 
2000 10.5 7.791 4.9 243847 
 223 
Year 
M1(us $ million, 
end year) 
M2(HK current $ million, 
end year) 
M2(us $ million, 
end year) 
1987 12072.06092 677000 99789.80758 
1988 12570.01626 824600 116725.624 
1989 12820.51282 988800 133581.9081 
1990 13800.89859 1210050 155333.7612 
1991 15869.32665 1371000 169313.9832 
1992 18715.79346 1518800 182683.4647 
1993 21926.0927 1761000 205820.092 
1994 21148.27412 1992351 227345.145 
1995 21116.10683 2282849 253082.5341 
1996 23431.16973 2532236 272846.7374 
1997 21870.18322 2742993 288283.4093 
1998 20450.12498 3066089 317211.3729 
1999 22780.55609 3313534 335252.6566 
2000 23765.03387 3605213 351359.7012 
 224 
Year 
savings deposites 
rate 
12-month time deposite 
rate 
labor 
force 
1987 2.127691667 4.234066667 272.8 
1988 3.293525 5.386308333 276.3 
1989 5.788108333 8.038108333 275.3 
1990 5.913883333 8.163883333 274.8 
1991 4.714516667 6.964516667 280.4 
1992 2.325266667 4.575266667 279.2 
1993 1.5 3.75 285.6 
1994 2.447583333 5.174408333 292.9 
1995 4.1975 6.268675 300.1 
1996 3.773333333 5.187583333 316.1 
1997 4.075833333 6.38365 323.5 
1998 5.1875 8.30855 327.6 
1999 3.746666667 5.762216667 332 
2000 4.465833333 5.401833333 337.4 
 225 
Year 
wage (hk current$ 
million) 
wage (us$ 
million) 
1987 13500 1989.900151 
1988 15828 2240.520467 
1989 18855 2547.215693 
1990 23443 3009.370988 
1991 25286.5 3122.799443 
1992 25852 3109.516019 
1993 28702.4 3354.645433 
1994 32077 3660.273825 
1995 34832 3861.565451 
1996 37404 4030.256012 
1997 40114 4215.906012 
1998 44092 4561.669232 
1999 46488 4703.505532 
2000 50497 4921.376582 
 226 
Appendix D-3: Data-US 
Year 
(1990 
price) 
GDP(billion 
 of US$) Exports G I C 
1979 4433.112155 401.3258082 841.5070062 818.301704 2818.274961 
1980 4255.104181 432.1045298 840.5907269 692.698751 2746.38411 
1981 4308.117356 419.684287 844.3938735 740.1548066 2749.700233 
1982 4216.481326 365.8913295 868.6365748 605.4872057 2775.928041 
1983 4393.373582 346.6555179 885.9120026 658.0423769 2922.840946 
1984 4682.209477 355.238509 925.0531449 841.7116263 3055.352866 
1985 4827.277927 341.6821702 996.9880032 781.1439874 3193.325366 
1986 5007.946992 367.9687118 1038.648254 783.45183 3331.367221 
1987 5169.195402 406.3218391 1059.08046 804.0229885 3459.08046 
1988 5348.287293 478.6740331 1063.535912 824.0883978 3578.121547 
1989 5532.982086 535.3003161 1027.608008 876.9230769 3712.434141 
1990 5522.2 557 1043.2 799.5 3748.4 
1991 5492.226488 577.2552783 1054.990403 707.1017274 3748.944338 
1992 5605.400372 594.1340782 1047.765363 736.7783985 3851.862197 
1993 5929.566004 594.755877 1166.726944 787.6130199 4027.21519 
1994 6220.723104 639.4179894 1170.987654 967.5485009 4159.082892 
1995 6346.912521 702.058319 1176.672384 980.8747856 4261.578045 
1996 6511 728.5 1184.916667 1035.083333 4364.583333 
1997 6754.109032 787.6322213 1205.044752 1125.874695 4495.036615 
1998 7043.429487 774.0384615 1234.695513 1241.907051 4688.221154 
1999 7275.196232 776.9230769 1281.397174 1284.77237 4905.965463 
2000 7496.507213 837.4335611 1321.943812 1342.0653 5108.883827 
 227 
Year 
(1990 
 price) Imports 
Interest 
Rate 
m2 
(b.od) 
US Cpi Acc 
(ifs) 
US Cpi percent 
(ifs) 
1979 446.4772102 11.22 1501.8 55.59074334 11.30363036 
1980 456.6739363 13.07 1635.5 63.08658697 13.48397806 
1981 445.8158438 15.91 1798.7 69.64759202 10.4 
1982 399.5971901 12.35 1959.6 73.87439334 6.06884058 
1983 419.9461513 9.09 2194 76.27168365 3.245089667 
1984 489.3643013 10.37 2378.3 79.55218617 4.301075269 
1985 485.7401346 8.05 2580.5 82.32797159 3.489263526 
1986 525.3973969 6.52 2814.7 83.97453102 2 
1987 572.0689655 6.86 2933.9 87 3.602841176 
1988 597.5690608 7.73 3089.8 90.5 4.022988506 
1989 619.2834563 9.09 3245.1 94.9 4.861878453 
1990 625.9 8.16 3357 100 5.374077977 
1991 596.0652591 5.84 3472.7 104.2 4.2 
1992 622.3463687 3.68 3533.6 107.4 3.071017274 
1993 651.4466546 3.17 3606.1 110.6 2.979515829 
1994 716.1375661 4.63 3520.6 113.4 2.53164557 
1995 774.271012 5.92 3665.8 116.6 2.821869489 
1996 802.5833333 5.39 3836.5 120 2.915951973 
1997 859.4792514 5.62 4053.2 122.9 2.416666667 
1998 895.4326923 5.47 4408.2 124.8 1.545972335 
1999 973.7833595 5.33 4677.3 127.4 2.083333333 
2000 1113.819286 6.46 4973.7 131.7 3.4 
 228 
Bibliography 
Alesina, A., & Rodrik, D. (1994). Distributive politics and economic growth. Q J 
Econ 109, 465-490. 
Amman, Hans M. and David A. Kendrick (1996), “The Duali/Dualpc Software 
Rustem and Andrew Whinston, Computational Approaches to Economic 
Problems, Kluer Academic Publishers, Dordrecht, The Netherlands. 
Amman, Hans M. and David A. Kendrick (1999), The DUALI/DUALPC Software 
for Economic Control Models: User’s Guide, Center for Applied Research 
in Economis, University of Texas, Austin, TX 
Banerjee, A., & Newman, A. (1993). Occupational choice and the process of 
development. J Polit Econ 101, 274-298. 
Benabou, Roland (1996). Inequality and growth. NBER Macroeconomics 
Annual, 11-74. 
Bruno, Michael, and Easterly, William. 1998 Inflation crises and long-run 
growth. Journal of Monetary Economics 41, 2-26 
Bullard, James, and Keating, John. 1995. The long-run relationship between 
inflation and output in postwar economies. Journal of Monetary 
Economics 36, 477-496. 
Clarke, G. R. G. (1995). More evidence on income distribution and growth, J of 
development Economics, 47, 403-27. 
Dimelis, Sophia and Lirada, Alexandra, 1995 Business Cycles and Income 
Inequality in Greece, Cyprus Journal of Economics, Vol. 8, No.1, 23-40. 
Galor, O., & Zeira, J. (1993). Income distribution and macroeconomics. Rev 
Econ Stud 60, 35-52. 
 229 
Gan, L., & Hsu, H. (1997). U.S. Tax Policy and Inward Foreign Direct 
Investment in a Liberalizing Financial Environment. University of 
California, Berkeley, Memeo. 
Gibson, Heather D(1996). International Finance: Exchange Rates and Financial 
Flows in the International Financial System. Addison Wesley Longman 
Limited. 
IMF, International Financial Statistics, a variety of annual issues. 
Kendrick, David A. (1981). Stochastic Control for Economic Models, New York: 
McGraw-Hill Book Company. Also the Second Edition (2002) of this 
book is available at David Kendrick’s web site at: 
-------------------------(1982). Caution and Probing in a Macroeconomic Model, 
Journal of Economic Dynamics and Control 4, 149-170 
Jiang, Boke (1994). Studies in RMB Convertibility. LiXing Press 
Jiang, Boke, Wall, David, and Yin, Xiangshuo(1996). China’s Opening Door. The 
Royal Institute of International Affairs 
Jin, Zhongxia (1995). China’s Real Exchange Rate Management and Reform. 
Economic Research 4 (in Chinese), 63-71. 
Levine, R., & Renelt, D. (1992). A sensitivity analysis of cross-country growth 
regression. The American Economic Review 82, 942-963. 
Persson, T., & Tabelline, G. (1994). Is inequality harmful for growth? Theory 
and evidence. Am Econ Rev 84, 600-621. 
Pindyck, Robert S. (1973). Optimal Policies for Economic Stabilization. 
Econometrica, Vol. 41, No.3, 529-560. 
Pindyck, Robert S and Rubinfeld, Daniel L. (1998). Econometric Models and 
Economic Forecasts. The McGraw-Hill Companies. 
Ramirez, Alejandro Fonseca (1999). Macroeconomic Policy Coordination 
Between The US and Mexico, A Control Theory Analysis. Ph. D 
Dissertation, Department of Economics, University of Texas at Austin 
 230 
Romer, P. (1990). Endogenous technological changes. Journal of Political 
Economy 98, S71-S103. 
Shih, P. (1997). Computational Analysis of Macroeconomic Policies on Income 
Inequality, Growth, and Intellectual Property Rights. Ph. D Dissertation, 
Department of Economics, University of Texas at Austin. 
SSB (State Statistical Bureau) (1980-2001), Statistical Yearbook of China 
(Zhongguo Tongji Nianjian), Beijing: Chinese Statistical Press. 
Stockman, A. (1981). Anticipated inflation and the capital stock in a cash-in-
advance economy. Journal of Monetary Economics 8, 387-393. 
Wan, G. (1998). The Analysis on Regional Rural Household Income Difference. 
Economics Studies (Chinese Journal), 1998, Vol. 5, 36-41. 
Williamson and Higgins (1999). Explaining Inequality the World Round: Cohort 
Size, Kuznets Curves, and Openness. NBER Working Paper 7224, 
National Bureau of Economic Research, Cambridge, Mass. 
World Bank. (1993). The East Asian Miracle. New York: Oxford University 
Press. 
World Bank. (1994). China: Foreign Trade Reform. A World Bank Country Study. 
Xu, L. , & Zou, H. (2000). Explaining the changes of income distribution in 
China. China Economic Review 11 (2000), 149-170. 
Xu, Yingfeng (2000). China’s Exchange Rate Policy. China Economic Review 11 
Zhang, Zhichao (2001). Choosing an Exchange Rate Regime During Economic 
Transition: the Case of China. China Economic Review 12 
Zhou, Zhengqing (1992). Studies on China Monetary Policy. China Financial 
Press. 
 231 
Vita 
Xiaojun Yang was born in Shaanxi, China, on April 15, 1966, the son of 
Zhuxiang Li and Yaodong Yang. He received his Bachelor of Arts from Shaanxi 
Finance and Economics Institute in 1987. Following graduation from Renmin 
University where he received a Master of Arts in Economics in 1992, he joined 
the State Planning Commission of P. R. China where he was employed as a policy 
maker and researcher. In 1995 he entered Columbia University, and received a 
Master of International Affairs in 1997. During his study at Columbia, he spent 
half year at World Bank where he conducted quantitative analysis regarding 
countries’ effective rates of protection and tariff equivalents of non-tariff barriers. 
In August, 1997 he entered the Graduate School of the University of Texas at 
Austin. 
Permanent address: Anjiu Xiang #10 
 Heyang, Shaanxi 
 715300 P. R. China 
This dissertation was typed by the author. 
._.
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