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JES
37,6
658
Savings and investment in
South Asia
Evidence from likelihood ratio based panel
cointegration
Abu N.M. Wahid
Received 11 November 2008
Accepted 20 October 2009
Tennessee State University, Nashville, Tennessee, USA
Mohammad Salahuddin
Southeast University, Dhaka, Bangladesh, and
Abdullah M. Noman
American International University, Dhaka, Bangladesh
Abstract
Purpose – This paper seeks to contribute to the study of the relationship between savings and
investment in a panel of five South Asian countries.
Design/methodology/approach – A number of unit root tests such as Levin, Lin, and Chu or LLC,
Breitung, Im, Pesaran, and Shin or IPS, Fisher-type tests using ADF and Fisher-type tests using PP
tests are conducted that confirm the non-stationarity of data. Then the paper applies maximum
likelihood-based panel cointegration method to examine the relationship between savings and
investment using data on investment and savings for five South Asian developing countries, namely,
Bangladesh, Pakistan, India, Nepal, and Sri Lanka over the period 1973-2007 compiled from the World
Development Indicator (WDI) Database 2008 CD-ROM.
Findings – The results obtained suggest that savings and investment are cointegrated, which
implies that the Feldstein-Horioka (F-H) puzzle does not hold in this region. It is also found that most of
these countries have maintained an international solvency condition.
Originality/value – This is another contribution that would enrich the existing literature on the F-H
puzzle. The paper includes data that involve the longest sample period. No other study, as of now, has
employed the panel cointegration method to study the savings investment relationship in this region.
Keywords Savings, Investments, South Asia
Paper type Research paper
Journal of Economic Studies
Vol. 37 No. 6, 2010
pp. 658-666
q Emerald Group Publishing Limited
0144-3585
DOI 10.1108/01443581011086684
1. Introduction
The positive relationship between savings and investment is now an empirically
established fact and well documented in the economics literature. The studies of recent
times also corroborate this relationship (see for example, Salahuddin and Islam, 2008).
In addition, in the modern era of financial and economic deregulation, capital markets
across the world are expected to be highly integrated with each other. Increased
integration among financial markets would enhance the set of opportunities available
to participants of financial markets, and, thereby, stimulate business and economic
growth. However, the relationship between savings and investment is not beyond
JEL classifications – C32, F21, F32
dispute. Keynes’ well-known “paradox of thrift” insists that policies to encourage
savings by raising investment and growth might in fact prove to be futile, thus,
undermining the link between savings and investment. It is likely that the developed
nations have undertaken more measures to deregulate their financial markets than the
developing nations. Consequently, capital is expected to be more mobile in those
markets when compared to capital markets of developing nations, as the speed and
magnitude of deregulation are slower in the latter case. Contrary to this theoretical
expectation, the seminal work of Feldstein and Horioka in 1980 (Feldstein and Horioka,
1980) on savings investment correlation found that domestic savings and investment
were highly correlated implying low capital mobility across 16 organization for
economic cooperation and development (OECD) countries. Using a cross sectional
analysis, they showed that 85-95 percent of domestic savings were transformed into
investment in the domestic economies. The authors interpreted the results as evidence
of poor capital mobility, which was contrary to what one would expect given the level
of deregulation and capital markets integration measures undertaken in the OECD
member countries. Subsequently, this has come to be known as the Feldstein-Horioka
puzzle (or F-H puzzle, in short) (Obstfeld and Rogoff, 2000). Since this groundbreaking
work, the interplay between these two important macroeconomic variables has drawn
researchers’ and policymakers’ special attention that has resulted in voluminous
research and intellectual debate on the issue. Some researchers have questioned the
validity of their interpretation of the high savings – investment correlation as evidence
of poor capital mobility and offered alternative explanations for it, while others tried to
rehabilitate the puzzle.
The main contribution of this paper is as follows: It estimated the F-H relationship
using the longest sample period (1973-2007). We also employed recently developed
likelihood ratio based panel cointegration to examine savings-investment relationship
in South Asia.
2. Literature review
The savings investment correlation puzzle (the F-H puzzle) still remains a puzzle and it
continues to draw attention of economists around the world. This is evident from the
large and growing body of literature on the issue. There are basically two strands of
literature that deal with this puzzle. The first strand of literature attempts to establish
the validity of F-H puzzle as a means of measuring the degree of capital mobility by
extending the sample period and by accounting for different exchange rate regimes,
structural breaks due to the abolition of exchange controls, and temporary and
permanent shocks to savings and investment (De Vita and Abott, 2003).
The empirical literature includes both cross section and time series investigations.
Among cross sectional studies, the findings of Feldstein (1983), Penati and Dooley
(1984), Dooley et al. (1987), Vos (1998) and Tesar (1991) suggest a high correlation
between savings and investment. A number of studies employed cointegration
techniques. Miller (1988) was the pioneer to apply cointegration technique to study the
dynamic savings investment relationship. Hoffmann (1998) stressed that in
intertemporal optimization models of current account dynamics, the budget
constraint would lead to high correlation and hence cointegration between savings
and investment. De Vita and Abott (2002, 2003) found cointegrated relationship
between savings and investment for USA and UK data. Ang (2007) also established a
Savings and
investment in
South Asia
659
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37,6
660
robust cointegrated relationship between savings and investment for Malaysia.
However, the results of some of the studies (for example, Schmidt, 2003; Narayan, 2005)
failed to find any cointegrated relationship between savings and investment.
Another strand of literature offers alternative hypotheses to explain high savings
investment correlation. It argues that high savings investment correlation has nothing
to do with capital mobility rather it is due to other macroeconomic factors such as
productivity shocks (Obstfeld, 1986) country size (Baxter and Crucini, 1993), current
account solvency (Coakley et al., 1996), long run current account targeting in economic
policy (Summers, 1988; Artis and Bayoumi, 1989) and financial structure (Kasuga,
2004.)
Some of the studies employ panel estimation techniques (see inter alia: Coakley and
Kulasi, 1997; Coakley et al., 1996; Coiteux and Olivier, 2000; Jansen, 2000; Corbin, 2001;
Kim, 2001; Ho, 2002; Coakley et al., 2004; Kollias et al., 2008) to study savings
investment relation. The results are mixed.
Kool and Keijzer(2009) in a study establish a structural link between three puzzles in
international macroeconomics and finance; the F-H puzzle, the equity-home bias
puzzles (EHB) and the trade home bias puzzle. Another study (Georgopoulos and
Hejazi, 2009) demonstrates that the estimates of the F-H coefficient under standard
framework are biased upward in the presence of a high positively correlated inward
and upward capital flows.
To shed further light on the relationship between savings and investment and
contribute to the existing pool of literature on the topic, we re-examine the relationship
between savings and investment using the most recent data covering the period
1973-2007 for a panel of five South Asian countries namely Bangladesh, India,
Pakistan, Sri Lanka, and Nepal. To this end, we have employed panel cointegration
technique to assess the long run relationship between savings and investment.
3. Data and methodology
This paper includes data on investment and savings for the five South Asian
developing countries, namely, Bangladesh, Pakistan, India, Nepal, and Sri Lanka over
the period of 1973-2007 compiled from the World Development Indicator (WDI)
Database 2008 CD-ROM. For the purpose of estimating the model of this paper,
domestic investment is calculated as a share of GDP (i.e. the investment-GDP ratio) and
domestic savings as a share of GDP (i.e. the saving-GDP ratio). The application of the
Feldstein-Horioka puzzle (relationship between saving and investment) involves
estimation of the following regression equation:
I t ¼ a þ b S t þ ut
ð1Þ
where, I is the ratio of gross domestic investment to GDP, and S is the ratio of gross
national savings to GDP, and u is the error term.
Panel unit root tests
Before we can test for the presence of cointegrating relationship between investment
and savings in South Asian nations, time series properties of the panel data need to be
examined. To this end, a number of panel unit root tests are applied here; Levin et al.
(2002), or LLC, Breitung (2000), Im et al. (2003), or IPS, Fisher-type tests using ADF
(Maddala and Wu, 1999), and Fisher-type tests using PP tests (Choi, 2001), and
Hadri (2000). Among them, the LLC, Breitung and Hadri tests assume common unit
root process across all units, while the other three tests allow individual unit root
process. The null hypothesis of all panel unit root tests, with the exception of Hadri, is
that the variable under investigation is nonstationary or has a unit root. On the other
hand, Hadri test considers presence of no unit root under the null hypothesis against
the alternative hypothesis of a unit root in the data. Moreover, except for the
Fisher-type tests using ADF proposed by Maddala and Wu (1999), all of the tests are
asymptotic in nature. The IPS test accounts for a higher degree of heterogeneity in the
cross-sectional data as compared to the other tests.
The panel cointegration test
The paper applies the panel cointegration technique for the whole sample at hand. A
motivation of considering the panel cointegration test is to have more reliable results
from a panel than from the individual countries as the former contain more information
than the latter (Baltagi, 2005). We choose to apply the Larsson et al. (2001) maximum
likelihood based panel cointegration test that is straightforward to formulate and
superior in performance to many other tests (Karaman Örsal, 2008). Larsson et al.
(2001) assumes that the data generating process for each of the cross-sections can be
represented by an ECM specification as in the following model:
DY i;t ¼ Pi Y i;t21 þ
n
X
k¼1
Gik DY i;t2k þ ui;t
ð2Þ
The estimation of the above model is carried out individually for each cross-section
using maximum likelihood methods. The null and the alternative hypotheses of the test
are as follows:
H0 : rankðPi Þ ¼ r i # r
H A : rankðPi Þ ¼ p
for all i ¼ 1; . . . . . . ; N
ð3Þ
where, p is the number of variables that we use in order to test for possible
cointegration among them. The trace statistic for each cross-sectional unit and their
average are then obtained. Now, the standardized panel cointegration rank trace
test-statistic (denoted by YLR) is given by:
pffiffiffiffi
N ½LRNT~ 2 EðZ k Þ
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
Y LR ¼
N ð0; 1Þ
ð4Þ
Var ðZ k Þ
where, LRNT is the average of the trace statistic obtained from each cross-sectional
calculations, and E(Zk) and Var (Zk) are the mean and variance of the asymptotic trace
statistic reported in Larsson et al. (2001).
4. Estimation results
Table I presents results of the panel unit root tests. As seen from the Table, the LLC
and Breitung tests cannot reject the null hypothesis of unit root both for the investment
and savings series on the level. However, when we consider the first difference of the
variables, the null hypothesis is rejected for both of the series. Similarly, for IPS and
Savings and
investment in
South Asia
661
(I/Y)t
p-value
0.700
0.804
(0.758)
(0.789)
2 9.270 *
2 4.798 *
2.197
6.108
2.862
(0.986)
(0.806)
(0.984)
6.901 *
(0.000)
Stat
D(I/Y)t
p-value
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37,6
662
Table I.
Panel unit root tests
results
Null: unit root (assumes common unit root process)
LLC t *
Breitung t-stat
Null: unit root (assumes individual unit root process)
IPS W-stat
ADF-Fisher Chi-square
PP-Fisher Chi-square
Null: no unit root (assumes common unit root
process)
Hadri Z-stat
Stat
(S/Y)t
D(S/Y)t
p-value
Stat
p-value
Stat
(0.000)
(0.000)
1.264
2 0.705
(0.897)
(0.240)
29.391 *
23.717 *
(0.000)
(0.000)
2 8.875 *
89.101 *
110.211 *
(0.000)
(0.000)
(0.000)
0.961
12.839
13.955
(0.831)
(0.232)
(0.175)
211.432 *
112.126 *
138.408 *
(0.000)
(0.000)
(0.000)
0.683
(0.247)
6.121 *
(0.000)
0.160
(0.436)
Notes: Probabilities for Fisher tests are computed using an asymptotic Chi-square distribution. All other tests assume asymptotic normality. Optimum
bandwidth for Hadri Z-test and Fisher PP test are selected using Bartlett kernel and for all other tests lags are selected using SIC
two Fisher-type tests (ADF and PP), one cannot reject the null hypothesis of the unit
root on the level and the null hypothesis is rejected on the data in first difference, both
for investment and savings. These tests confirm that both investment and savings
series are I ð1Þ. The Hadri Z-test (with null hypothesis of no unit root) results at the
bottom part of Table I shows that the null hypothesis is rejected for both the variables.
The null hypothesis is, however, not rejected when first difference-data are used.
Different test statistics reported in Table I unequivocally indicate that the variables
under investigation are unit root process. This allows us to test for cointegration
between the variables.
The results of the Larsson et al. (2001) panel cointegration test are presented in
Table II. Table II shows results of Johansen cointegration test trace statistic for
individual countries. The VAR lag is selected using Swartz Information Criteria (SIC)
from a maximum lag of 4. The results for individual countries show that ranks are
either 0 (India and Pakistan) or 1 (Bangladesh, Nepal, and Sri Lanka). The panel test
statistic (the last row in bold face) is reached at by utilizing the method described
earlier. The null hypothesis of no cointegration is rejected for r ¼ 0 (as the test
statistics are larger than the critical value of 1.96) but cannot be rejected for r ¼ 1. This
establishes the highest common rank of the panel to be one. This indicates that savings
and investment are cointegrated for the South Asian panel as a whole. Similar results
were obtained in Murthy (2007, 2009) for a panel of Latin America and the Caribbean
countries, which use the same method as ours. The panel results are more reliable on
the grounds of enhanced power of rejecting the null hypothesis of no cointegration in
the presence of more information as compared to the time series evidence. The results
obtained suggest that most of these countries have maintained international solvency
condition. Second, as cointegration is found in the panel as a whole, the F-H puzzle does
not hold for this region.
Savings and
investment in
South Asia
663
5. Summary and conclusions
This paper aims to examine the savings-investment relationship for some South Asian
countries, namely Bangladesh, India, Pakistan, Sri Lanka, and Nepal by employing the
likelihood ratio based panel cointegration test proposed by Larsson et al. (2001). A panel
cointegration test has been conducted in order to take benefit of increased amount of
LRiT (H(r)jH(2))
Country
Bangladesh
India
Nepal
Pakistan
Sri Lanka
LRNT
E(Zk)
Var (Zk)
YLR-test
r ¼ 0
Lag
1
1
4
1
1
16.732
10.917
17.417
4.9817
15.920
13.193
6.086
10.535
4.896
r ¼ 1
[0.031]
[0.220]
[0.024]
[0.809]
[0.042]
0.27830
2.0799
1.1980
1.4868
1.1778
1.244
1.137
2.212
0.161
Rank (ri)
[0.598]
[0.149]
[0.274]
[0.223]
[0.278]
1
0
1
0
1
Notes: The values for E(Zk) and Var(Zk) are obtained from Larsson et al. (2001); VAR lag was selected
using Schwartz-Bayesian criterion (SIC) with maximum lag ¼ 4
Table II.
Panel cointegration test
results
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664
information embedded in a panel. The results of the panel cointegration test indicate
that savings and investment are cointegrated in South Asia as a whole. With reference
to the F-H puzzle, the panel test results indicate that the puzzle does not hold good for
the South Asian panel under investigation. The findings may not be interpreted,
however, to prove or disprove cross-boarder capital mobility for South Asian countries,
as there are many other empirically established factors that account for high or low
savings investment correlation in these developing countries. Further research may be
initiated to specifically examine those other factors that might potentially explain the
relationship between savings and investment in the South Asian nations.
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