Determining real exchange rates.
Afridi, Usman
The paper re-examines the determinants of the real exchange rate
equation, and suggests alternative determinants where appropriate, as
well as improvements in proxies from those conventionally used. The
paper emphasises the weaknesses of the multi-country approach to
empirical study of the real exchange rate.
While real exchange rates are determined for Pakistan, the
terms-of-trade variable is found to be insignificant. Excess demand for
domestic credit, capital flow, and the "opinions" variable are
all found to be inversely related to the RER. Thus government
expenditure on non-tradable is positively related, and better
specification of the technological change variable shows support for the
balance effect.
INTRODUCTION
Real exchange rate [RER] behaviour in developing countries has
received significant attention in recent years. These studies have
mostly been multi-country studies, using either a Purchasing Price
Parity model of the RER or a regression-based model where the RER is
regressed on the sets of its determinants. The determinants, to a large
extent, are represented by proxies. Edwards (1989) has provided a
comprehensive survey of the literature. But in reviewing recent
regression-based empirical studies certain shortcomings were observed.
This paper addresses these issues, improvements suggested in the choice
of determinants of the RER should provide a better understanding of the
behaviour of real exchange rates.
These are reservations about the choice and inclusion or exclusion
of some variables. We are also not satisfied with the choice of quite a
few proxies, which have been substituted in, for lack of data about
specific variables. To evaluate movements in the real exchange rate, it
would probably be more appropriate to look at individual countries
independently. The choice of proxies would then be more appropriate to
the choice of country. The signs on the coefficients could then be
interpreted with the underlying economic conditions in the country. The
behaviour of Pakistan's RER needs to be examined in such a
framework.
NOMINAL AND REAL EXCHANGE RATE BEHAVIOUR IN PAKISTAN
In 1960, at the start of the period under review, the Pakistani
economy was working with a fixed exchange rate regime. The nominal
exchange rate (NER) was officially fixed at Pakistan Rs 4.762 against
one US dollar. This official rate of exchange remained unchanged till
1972. In 1972-73 the rupee was devalued settling at Rs 9.90 against the
one US dollar--a total devaluation of 130 percent. This new rate of
exchange continued within the context of a fixed exchange rate regime
till 1982.
In 1982, the policy-makers in Pakistan announced a break from the
rupee's peg against the US dollar. A more flexible arrangement was
announced whereby the rupee was to be pegged to a basket of major
currencies rather then the existing bilateral peg with the US dollar.
The official flexible arrangement seems to be no more than a cover for
regular devaluations. As the data show, the rupee has been devalued
consistently since 1982. However, in no year has the devaluation been as
high as the 1972-73 experience.
We have defined the real exchange rate as nominal exchange rate
times the ratio of the price of tradable to non-tradable.
RER = E [[PT.sup.*]/PN] ... ... ... ... ... ... (1)
We would follow the convention of using the wholesale price index
(WPI) of a large economy as a proxy for the price of tradable variable
in our definition of the real exchange rate. The assumption here is that
the WPI has a significantly higher proportional content of tradables as
against non-tradables. The WPI of choice is that of the United States.
This can be justified by the size of the US economy and the bilateral
exchange rate arrangements made with the US dollar by most small
economies.
The price of non-tradables will be proxied by the domestic consumer
price index (CPI). The assumption being that the CPI is weighted heavily
by non-tradable goods and services.
RER = E [WPI(US)/CPI] ... ... ... ... ... (2)
It will be appropriate to look at the RER for Pakistan in three
distinct periods, the periods 1960-72, 1973-82, and 1983-1990. The first
two periods have been associated with fixed exchange rate regimes; they
are separated because of a major devaluation. Annual data have been used
because quarterly data are not available for all the variables.
Published data for Pakistan for all variables are only available for the
period considered. As such, only 31 observations are used and this
places a limitation on our analysis.
In 1960 Pakistan was following a fixed exchange rate regime. Figure
1 shows that from 1960 to 1971 the real exchange rate appreciated. After
the devaluation of 1972-1973, the authorities continued with a fixed
exchange rate regime at the post-devaluation rate of exchange. Figure 1
shows that for both periods of fixed exchange rates significant movement
took place in the RERs. This suggests that factors other than the NER
seem to be driving the RER in Pakistan.
In 1982 the government announced a change of regime, from a fixed
exchange rate to a flexible exchange rate. The 1982-1990 period has
witnessed depreciating real exchange rates. This period has also
witnessed many regular small devaluations.
The flexible exchange rate regime, which has been in place since
1982, seems to have overcome the problem of real exchange rate
overvaluation by a steady stream of nominal devaluations. But this
method does not address the structural problems in the economy which are
causing the movement towards overvaluation in the first place. We need
to look at changes in the determinants of the equilibrium real exchange
rate to understand where the pressures towards overvaluation are coming
from.
[FIGURE 1 OMITTED]
FRAMEWORK FOR DERIVING THE REAL EXCHANGE RATE EQUATION
The path of the small open economy's real exchange rate can be
influenced by the following determinants/fundamentals, both temporarily
and permanently.
External Terms of Trade
Terms of trade can be represented by the relationship of the
external relative price of exportables to importables.
TOT = P [[X.sup.*]]/P[[M.sup.*]] ... ... ... ... ... ... (3)
TOT = Terms of trade.
P[[X.sup.*]] = Foreign price of exportables.
P[[M.sup.*]] = Foreign price of importables.
It is important to point out that changes in the terms of trade
will have both income and substitution effects on the real exchange
rate.
It is not a foregone conclusion that terms of trade depreciation
would always cause an exchange rate depreciation. The result would
depend upon the relative importance of income and substitution effects;
also on the composition of the deterioration in trade, i.e., whether it
is coming from increases in the price of importables or decreases in the
price of exportables.
Government Consumption
Change in the level of government consumption as well as its
composition would have an effect on the path of the equilibrium real
exchange rate.
An increase in the consumption of non-tradables would lead to an
increase in their demand and price, causing both income and substitution
effects.
Data on government consumption of non-tradables is not easily
available. The proxy of the ratio of total government consumption to the
gross domestic product is commonly used to substitute for government
consumption of non-tradables [Edwards (1989)].
[GC.sub.1] = GC/GDP ... ... ... ... ... ... (4)
GC = Government expenditure.
[GC.sub.1] is not a good proxy for government consumption of
non-tradables. We have mentioned earlier the difficulty associated with
the availability of data for most developing countries on government
consumption of non-tradables.
We aggregate government expenditure on education, health, transport
and communications, housing, rural development, and social welfare. This
aggregate we proxy as a measure of government expenditure on
non-tradables. Thus, we define a new variable.
[GC.sub.N] = GCNT/GDP ... ... ... ... (5)
GCNT = Government expenditures on non-tradables.
It may be pointed out that in no earlier study estimating the real
exchange rate equation has a series for [GC.sub.N] been used.
Capital Movements
Changes in the extent of capital movements would affect the flow of
capital. An increase in capital controls would reduce capital inflows
and would appreciate the equilibrium real exchange rate. It is important
to point out that the extent of the effect on the equilibrium real
exchange rate would depend on whether more of capital inflows are spent
on non-tradables as against importables or vice versa.
Net capital inflows, which are spent on importables, would have no
effect on the real exchange rate directly. If capital inflows are spent
on non-tradables, then foreign currency must be converted into local
currency. The resulting increase in domestic money supply would cause an
increase in the price of non-tradables, causing an appreciation of the
real exchange rate.
A perfect proxy for capital controls is difficult to establish.
Different ratios of capital flows to the GDP have been used in the
literature. Edwards (1989) uses the lagged ratio of net capital flows to
the GDP. Schafer (1989) defines net capital flows as net borrowing and
uses its proportion to the GDP as a proxy for capital control.
For our purposes, we would define the following variables for
capital control:
[CAP.sub.1] = [NFB + TRAN + AID + NFIFA] / GDP ... ... ... (6)
[CAP.sub.2] = [NTP + NTO + NDFI + NPI + LTCI + STCI] / GDP ... (7)
CAP = Net capital inflow as a proportion of the GDP.
NFB = Net foreign borrowing.
TRAN = Transfers.
AID = Disbursement of foreign aid-debt servicing.
NFIA = Net factor income from abroad.
NTP = Net transfers private.
NTO = Net transfers official.
NDFI = Net direct foreign investment.
NPI = Net portfolio investment.
LTCI = Long-term capital inflow.
STCI = Short-term capital inflow.
Though we have constructed the series for both equations, we do
most of our estimations with Equation 7 and its lagged value.
Commercial Policy
This variable will be used to proxy the degree of
"openness" in the domestic economy. Cottani, Cavallo and Khan
(1986) have used the openness variable to measure the distortions in
trade policy.
Trade policy restrictions such as tariffs, taxes, subsidies, and
quotas reduce the degree of openness. Reduction in openness increases
the gap between the free trade domestic price for tradables and the
actual domestic price for tradables.
We shall use two variables to measure the degree of openness in the
economy. The ratio of the GDP to the sum of exports and imports (trade)
will be one such measure. The ratio of tariff on international trade to
the sum of exports and imports will be the other measures.
[CP.sub.1] = GDP/X + M ... ... ... ... ... ... (8)
[CP.sub.2] = TINT/X + M ... ... ... ... ... ... (9)
CP = Commercial policy.
X = Exports.
M = Imports.
TINT = Tariff on international trade.
A reduction in openness would imply an increase in the value of
both CP variables defined above.
If the economy follows a significant import-restricting policy by
way of an increased import tariff, then we would have a reduction in
imports. In the case of both [CP.sub.1] and [CP.sub.2,] an increase of
value will take place, implying a reduction in openness. A higher
resulting price of imports would cause the price of non-tradables to
increase (via the mechanism described earlier). As the price of
tradables is exogenous, the real exchange rate would appreciate.
If a reduction in openness takes place via an increase in export
tariffs, then the production of exports will fall. With factors of
production moving to the non-tradables sector, the price of
non-tradables would fall and the real exchange rate would depreciate.
However, as a result of the decrease in exports, a deficit would occur
on the current account balance. This would result in import restrictions
and/or foreign exchange rationing. The price of imports would increase
and, as a result, the price of non-tradables would also increase. The
new equilibrium price of non-tradables would depend on the elasticities
of demand for imports and non-tradables and the supply elasticity of
non-tradables. From an increase in export tariff, we cannot predict the
effects on the real exchange rate. Increase in import tariffs would,
however, unambiguously cause appreciation the real exchange rate as we
have discussed earlier.
Supply of Domestic Credit
We would define excess supply of domestic credit (EXDC) as domestic
credit creation in excess of devaluation, foreign inflation, and real
GDP growth. We assume here that the velocity of money is constant. EXDC
has an inflationary impact because if it is positive, then the increase
in domestic credit or money supply is out of proportion to real output
and the prevailing price level. The excess money is spent on both
non-tradables and tradables. With the price of tradables being exogenous
to the system, the price of non-tradables is driven up, which causes
real exchange rate appreciation. Higher prices of non-tradables
discourage the production of non-tradables and cause a movement of
factors of production to the tradables sector.
Most developing countries exercise significant control over the
nominal exchange rate even when they profess to have flexible exchange
rates. Usually, the expansion of domestic credit is the instrument of
choice to finance fiscal deficits. With a consistent increase in
domestic credit, it is not possible to sustain a constant level of RER
over the long run, because consistent high EXDC would lead to a fall in
reserves and create the pressure for a devaluation of the domestic
currency. However, if the exchange rate is fixed, an appreciation could
be observed for the real exchange rate in the short run.
EXDC = [GDC - [TECH.sub.1] - [INFL.sup.*] - DEV] ... ... ... (10)
EXDC = Excess demand for domestic credit.
EDC = Growth in domestic credit.
[TECH.sub.1] = Real growth of the GDP.
[INFL.sup.*] = Foreign inflation.
DEV = Devaluation.
Technological Change
Balassa (1964) provided a formal framework to examine the
relationship between economic growth and the equilibrium relative price
of tradables to non-tradables, although Ricardo and others had earlier
postulated a negative relationship between economic growth and the
relative price of tradables to non-tradables. Balassa made the case that
the rate of productivity growth is higher in countries experiencing a
higher rate of growth than in those countries experiencing a somewhat
slower rate of growth; also, that the improvements in productivity are
greater in the tradable goods sector, as against the non-tradable goods
sector. The implication is that the equilibrium relative price of
tradables to non-tradables will be declining over time, assuming that we
are experiencing positive growth. In such a case, the real exchange rate
would be appreciating.
Improvements in technology can be product-augmenting or
factor-augmenting. Technological change will also be different across
sectors. There can be different effects on the equilibrium real exchange
rate, depending on the state of the above. Improvements in productivity
have positive income effects, generating an increase in the demand for
non-tradables. The resulting increase in the price of non-tradables
would appreciate the real exchange rate.
Supply effects also result from technological progress. If the
change is factor-augmenting, then the Rybczynski theorem would apply, as
in the case of the exogenous increase in factor-availability. In the
case of product-augmenting technological change, it is possible that the
supply effects dominate the demand effects of technological improvement.
Improvements in the supply of non-tradables to the extent of excess
supply would cause a fall in the price of non-tradables and cause a
depreciation of the real exchange rate.
Measuring technological change is not easy. Edwards (1989) uses the
GDP growth rate as a measure of technological change. Implicit in this
is the assumption that growth is taking place in the tradables sector.
Edwards does, however, mention the shortcomings of this proxy. Schafer
(1989) uses per capita growth rate as a measure of technological change.
Cottani, Cavallo and Khan (1990) use a time variable in their
regressions to capture the residual trend and attribute that to
technological change in the tradables sector.
We cannot be satisfied with any of the proxies used, in the studies
reviewed by us, to represent growth attributable to technological
change. None of them exclusively captures the path of technological
change, as the effects of other factors are not eliminated in the
computation. Therefore, we may introduce another measure for
technological change in the real exchange rate equation for developing
countries. We would measure technological change from the Solow residual
method, which is also called the multifactor productivity growth, or
that part of growth which cannot be explained by the growth of capital
or of labour. We have used tables prepared by Siddiqui (1992) for this
purpose.
We define as follows the variables discussed in the above
paragraphs.
[TECH.sub.1] = GDP growth rate ... ... ... ... ... (11)
[TECH.sub.2] = Growth rate attributed to technological change from
measuring multifactor productivity growth ... ... ... (12)
[TECH.sub.3] = Per capita GDP growth rate ... ... ... ... (13)
T = Time trend to capture the residual from the real exchange rate
equation, the residual being attributed to technological change (14)
For the purposes of our estimation, we shall basically use
[TECH.sub.2]; however we shall estimate also with the other proxies for
purposes of comparison.
Fiscal Deficit Ratio
As a measure of fiscal policies, we would use the ratio of fiscal
deficit to lagged high power money. We would expect this variable to
affect the real exchange rate negatively. An increase in the ratio would
cause appreciation of the real exchange rate, given that all other
variables are stationary. An overvaluation of the real exchange rate
would be the outcome, and the pressures for devaluation would increase,
given our old assumption of exogenous terms of trade, the price of
tradables, and the rigidity of the nominal exchange rate,
DEH = DEF/HM ... ... ... ... ... ... (15)
DEH = Ratio of fiscal deficit to high-powered money.
DEF = Fiscal deficit.
HM = High-powered money.
We shall also look at the effects of the following variables being
incorporated in the real exchange rate equation.
INVGDP = INV/GDP ... ... ... ... ... ... (16)
RGDC = Real growth in domestic credit ... ... ... (17)
GNER = Devaluation of the nominal exchange rate ... ... (18)
PCGDP = PC/GDP ... ... ... ... ... ... (19)
Where INV = Investment, PC = Private consumption.
ESTIMATING THE REAL EXCHANGE RATE EQUATION FOR PAKISTAN
We estimate first the following equation:
PER = [a.sub.0] + [a.sub.1] TOT + [a.sub.2][CAP.sub.2] +
[a.sub.3][CP.sub.1] + [a.sub.4]EXDC + [a.sub.5][TECH.sub.2] +
[a.sub.6][GC.sub.N] + [D.sub.5] ... ... ... ... ... (20)
The variables have all been defined and explained earlier. For
convenience we list them again.
PER = Real exchange rate.
TOT = Terms of trade.
[CAP.sub.2] = Capital flows as proportion of the GDP.
[CP.sub.1] = Openness variable, a measure of commercial policy.
Ratio of the GDP to the sum of exports and imports.
EXDC = Excess demand for domestic credit.
[TECH.sub.2] = That part of growth which is attributable to
technological change.
[GC.sub.N] = Government consumption of non-tradables/GDP.
[D.sub.5] = Dummy variable for different exchange rate regimes.
Equation 20 represents the basic fundamentals which determine the
path of the real exchange rate. We have suggested other variables which
could also influence the equilibrium real exchange rate. Alternative
proxies for measuring openness, technological change, and government
consumption of non-tradables have also been used.
The results of the basic Equation 20 and also those of other
equations, where more determining variables are added and alternative
proxies are incorporated, are presented in Table 1. We have made
estimations considering both the real and the monetary variables
together and separately.
The results suggest that the basic model has satisfactory
explanatory powers. The [R.sup.2] are satisfactory. The Durbin-Watson
statistics, though not very strong, still do not indicate a degree of
auto-correlation, which would have been of concern.
The TOT variable was not statistically significant in any of our
regressions, implying a negligible impact of changes in TOT on RER.
However, the positive sign observed requires an explanation. We were
expecting an unambiguous negative sign for the coefficient of the TOT
variable, which would have lent support to the popular view that
deteriorating terms of trade cause a depreciation of the real exchange
rate. As it has been pointed out, the argument is true only if the
income effect dominates. If the substitution effect of the deteriorating
terms of trade dominates the income effect, as in the case of the
increase in the price of importables, then a reduction in quantity
demanded of importables would result. The substitution effect would
increase the demand for non-tradables, increasing the price of
non-tradables and causing an appreciation of the real exchange rate.
Although terms of trade have not displayed a very clear or
significant trend in Pakistan in 1960-1990, yet it seems that the
substitution effect of the change in the price of importables has
dominated the income effect.
The coefficient for CAP (both current and lagged) variable was
found to be negative and statistically significant in most estimations.
This implies that an increase in the capital flow as a percentage of the
GDP would result in an appreciation of the real exchange rate. A one
percent increase in the capital flow (i.e., CAP/GDP or
[(CAP/GDP).sub.t-1]) would appreciate PER by .17 percent to .245
percent.
Both of our openness variables [CP.sub.1] and [CP.sub.2] were found
to be significantly negative in all estimations. A one percent increase
in the GDP to total trade ratio is associated with the appreciation of
the real exchange rate by 0.014 percent.
The variable for excess supply of domestic credit (EXDC) was
negative and significant for all regressions. A one percent increase in
the supply of domestic credit appreciates the real exchange rate by 0.05
percent. This variable suggests the pattern of macroeconomic policies
for the country under consideration. Excess supply of domestic credit in
any amount greater than zero would cause a disequilibrium situation and
would contribute towards an overvaluation of the real exchange rate. The
coefficients representing this variable are small; they suggest,
nevertheless, a significant contribution to disequilibrium over time.
Earlier studies which examined real exchange rates found
contradictions to the Balassa effect. The blame can be assigned to the
choice of proxies. We believe that the GDP growth, the per capita GDP
growth, and a time trend are not very good proxies of technological
change.
We have also estimated government expenditures on non-tradables
([GC.sub.NT]). Earlier studies proxied this variable with total
government expenditure. The coefficient of this variable was found to be
positive and statistically significant. Changes in government
expenditures will affect the equilibrium real exchange rate through two
channels. We assume first that an increase in government expenditure on
non-tradables is financed through an increase in public debt. Then the
first effect of the increase in government expenditure would be an
increase in the price of non-tradables, leading to an appreciation of
the real exchange rate. However, the financing of the increased spending
would require increased government borrowing. This would reduce income,
causing a reduction in the demand for non-tradables in the private
sector, reducing the price of non-tradables, and causing a depreciation
of the real exchange rate. The overall effect would depend on the
relative dominance of the income or substitution effects. In our
estimations, the income effect seems to dominate as one percent increase
in [GC.sub.NT] leads to 0.9 percent increase in RER.
It is important to look at the source of financing of government
expenditure, whether the increases in expenditure are financed by
increased borrowing or by more taxes. Since 1981 the Government of
Pakistan has imposed a special zakat tax (2.5 percent annually on
wealth). Revenues from this tax are earmarked exclusively to be spent on
what we have aggregated as expenditures on non-tradable goods. It is
important to note that such a tax would reduce income on a broad base.
Since 1984 the Government of Pakistan has also imposed a 5 percent
education surcharge on all imports and exports. All revenue from this
surcharge is earmarked for expenditure on public education (a
non-tradable good).
The ratio of government expenditure to the GDP has been constant or
declining from 1980 onwards, and, at the same time, the increased
proportion of the financing of these expenditures can be attributable to
new taxes. The fact that new taxes were imposed specifically for the
purpose of financing of these expenditures provides credibility to the
sign observed on the coefficient of government expenditures on
non-tradables.
The coefficient for the fiscal deficit ratio (DEH), when included,
was negative and, in some cases, significantly so. This suggests that
when the ratio of fiscal deficit to high-powered money increases, the
real exchange rate appreciates. In the case of a fixed exchange rate,
this would result in an overvaluation of the real exchange rate.
In some regressions, we have also included the nominal devaluation
variable. The coefficient for this variable has been observed as
significantly positive. The size of the coefficient is large, suggesting
that nominal devaluations can be used as a useful tool for correcting
overvaluation from the equilibrium real exchange rate temporarily. For
long-run equilibrium, it would require elimination of the original
sources of disequilibrium. In terms of our model, EXDC and DEH would
need to be equal to or less than zero.
In the regressions, where they have been included, the coefficients
of lagged real exchange rate have been found to be positive and
significant. The high values of these coefficients suggest that, with
other things being constant, real exchange rates converge rather slowly
on their long-run equilibrium.
CONCLUSIONS
Our results and conclusions are different from those drawn from
earlier empirical studies on real exchange rates for developing
countries. This has been due to the fact that we have redefined some of
the determinants of the RER and have also provided improved proxies. We
have shown that some of the proxies used in earlier studies were not
satisfactory and could also be misleading. Our choice of proxies for
technological change and government expenditures on non-tradables is a
definite improvement on the earlier approximations.
The choice of doing a single-country study also enabled us to
examine the influence of different sets of domestic policies on RER
behaviour. Such a study (instead of a multi-country study) also allowed
us to increase the number of observations. The time-period (1960-1990)
considered by us was twice as much as observed by some of the studies
reviewed by us.
The results obtained by us are also different from those of the
earlier studies. We do not find any significance for the terms-of-trade
variable. The coefficient was positive, and the sign insignificant, in
most observations-contrary to what was observed in earlier studies. Thus
we offer an explanation on the basis of structural conditions and fiscal
policies in the country. The sign on the government expenditure on the
non-tradables coefficient was also positive, contrary to conventional
theoretical expectations. We have offered an explanation for this
observation on the basis of structural conditions and the financing of
government expenditures on non-tradables.
We find that our proxy for technological change does not reject
outright the Balassa effect as all the other studies reviewed by us have
done; a better specification of the technology variable has given us
this result.
We have clear unambiguous conclusions from the other variables
(something not observed in other studies). Excess demand for domestic
credit, capital flow as a proportion of the GDP, and the
"openness" variable (the GDP/X + m variable) are all inversely
related to the PER.
This paper has thoroughly re-examined the determinants of the real
exchange rate equation. And we have suggested alternative determinants,
where appropriate. We have also improved some proxies for the
determinants used in the earlier studies while pointing out the
weaknesses of the multi-country approach to empirical studies of real
exchange rates.
Author's Note: The author would like to thank Dr Rehana
Siddiqui for her help at different stages of writing this paper. The
author alone is responsible for any errors or omissions.
REFERENCES
Balassa, B. (1964) The Purchasing Power Doctrine: A Reappraisal.
Journal of Political Economy 72:6 584-596.
Cottani, J., D. Cavallo and M. S. Khan (1986) Real Exchange Rate
Behaviour and Economic Adjustment in LDC's. The World Bank.
(Mimeographed.)
Cottani, J., D. Cavallo and M. S. Khan (1990) Real Exchange Rate
Behaviour and Economic Performance in LDC's. Economic Development
and Cultural Change 39:1.
Edwards, S. (1989) Real Exchange Rates, Devaluation and Adjustment.
MIT Press, Cambridge Mass.: London.
Schafer, H. (1989) Real Exchange Rates and Economic Performance,
the Case of Subsaharan Africa. Unpublished Ph. D. Dissertation. North
Carolina State University.
Siddiqui, R. (1992) Sources of Economic Growth in Developing
Countries. Unpublished Ph.D. Dissertation. New York: Columbia
University.
Usman Afridi is Research Economist at the Pakistan Institute of
Development Economics, Islamabad.
Table 1
Regression Results of the Real Exchange Rate Equation
20 (a) 20 (b)
INTERCEPT 15.13[7.34] * 3.52[1.71]
TOT 0.002[0.19] 0.007[1.29]
CAP/GDP -0.17[-2.01] * -0.003[-0.06]
[[CAP/GDP].sub.t-1]
EXDC -0.05[-4.18] * -0.023[-2.30] *
[CP.sub.1] -0.014[-5.82] * -0.006[-2.03] *
[GC.sub.2]
[GC.sub.NT] 0.90[3.611 *
[GC.sub.1] 0.153[2.61] *
INV/GDP
[TECH.sub.Q] -0.041[-1.01] 0.04[0.02]
DEH -0.004[-0.66]
[[RER].sub.t-1] 0.626[5.40] *
NOMDEV 0.081[7.39] *
[D.sub.5] 3.61[9.261 * 0.726[1.961 *
[R.sup.2] .96 .99
ROOT MSE .715 .314
DW 1.45 1.92
20 (c)
INTERCEPT 3.95[5.55] *
TOT 0.007[.79]
CAP/GDP
[[CAP/GDP].sub.t-1] -0.245[-2.10] *
EXDC -0.062[-3.62] *
[CP.sub.1]
[GC.sub.2] -0.173[-2.031 *
[GC.sub.NT]
[GC.sub.1] 0.423[4.79] *
INV/GDP 0.140[l.42]
[TECH.sub.Q] -0.061[-1.69]
DEH -0.023[-2.87] *
[[RER].sub.t-1] 0.751[7.85] *
NOMDEV 0.08[6.42] *
[D.sub.5] .303[1.98] *
[R.sup.2] .99
ROOT MSE .313
DW 1.85
t-statistics are given in parenthesis.
* Indicates that the coefficients are statistically significant at
the 5 percent level of significance.