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Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation
in Pakistan
By Fayyaz Hussain,
* Economist, Monetary Policy Department, State Bank of Pakistan, Pakistan
Email: [email protected]
Abstract
Under monetary aggregate targeting regime, inflation is considered as a monetary
phenomenon. However, in emerging economies various inflation shocks such as financial
innovations and correction in administered prices has made this relationship questionable. As
a result, many emerging economies have abandoned monetary aggregate targeting. In line
with the global trend, Pakistan has abandoned monetary aggregate targeting and is planning to
adopt flexible inflation targeting by 2020. This study attempts to assess the relevance of
monetary aggregates for monetary policy decision making under the new framework. This
study uses event study as well as Structural Vector Auto regression (SVAR) method to assess
the relationship between money and inflation on aggregate as well as disaggregated basis.
This study found that monetary aggregate and its components are important determinant of
inflation. Within its components, net domestic assets expansion and budgetary borrowings
from the banking system are the most inflationary components of broad money while credit to
private sector and net foreign assets are least inflationary. The study concludes that in the new
monetary framework, trend in monetary aggregates and its components are still informative
about the future plausibility of price stability. Disaggregated analysis indicates that narrowing
of the twin deficits would help contain inflation in the economy.
Keywords: Monetary aggregates, inflation, disaggregated, Monetary Policy
Framework.
JEL classification: E31, E41, E51, E52
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
1
1. Introduction.
Monetary aggregates have long been understood to play a central role in
monetary policy by predicting the future movements in prices and income. This
relationship connecting money with income and prices was also supported by a rich
literature.1 However, financial innovations and deregulation altered this familiar
relationship.2 As a result, role of monetary aggregates in monetary policy analysis
has reduced significantly across the globe. This has led the main stream monetary
policy analysis to focus on adjustments in short term interest rate rather than any
monetary aggregates.
Pakistan like other developing countries is no exception to this paradigm shift in
monetary policy analysis. As Pakistan has also gone through financial reforms and
consequent financial innovations, this raised doubts about stability of demand for
money in Pakistan3. As a result of this unpredictable relationship between money
growth and inflation and lose control over reserve money because of fiscal dominance,
State Bank of Pakistan has switched from monetary aggregates to interest rate as the
operating target in 2009. In this backdrop, the natural question is what role money
could play in assessing the achievement of policy objectives in this new policy
environment.
1 For instance see the literature survey by Friedman (1990). 2 For example see earlier empirical work for United States by Bernanke and Blinder (1988), Friedman
and Kuttner (1992) and recent empirical work for euro area by Beyer, Fischer, and von Landesberger,
2007; Fischer, Lenza, Pill, and Reichlin, 2007; Fischer and Pill, 2010. 3 For instance, Moinuddin (2009) and Omar and Saqib (2009) documented unstable demand for money
in Pakistan.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
2
In Pakistan, money supply is still considered an important information variable to
assess inflation. Therefore, SBP closely monitors trends in monetary aggregates to
gauge the plausibility of achieving the objective of price stability. This study is an
attempt to reexamine the relationship between money growth and inflation in Pakistan.
While the previous studies explored this relationship on aggregated level, 4 this study
benefits from a more detailed disaggregated data on monetary aggregates. Along with
evaluating the dynamic impact of the overall monetary expansion on inflation, this
study also explores the impact of disaggregated monetary aggregates on inflation in
Pakistan.
The study finds that relationship between real money balances growth and inflation is
strong at aggregated as well as disaggregated level and hence could be useful in
predicting the future inflation. Within monetary aggregate, expansion in net domestic
assets are more inflationary while expansion in net foreign assets has no significant
impact on inflation. Specifically, budgetary borrowings from the banking system that
constitutes a large part of domestic assets seem to be the most inflationary
components of money balances. It implies that efforts to curtail inflationary pressures
must be accompanied with the discipline on the fiscal side.
The rest of the study is organized as follow. The next section is about potential role of
monetary aggregate in new framework. The following section is the descriptive data
analysis of money and inflation. Fourth section discusses a small event study followed
4 For instance see Abbas and Hussain (2006), Qayyum (2006) and Husain & Rashid, (2006) etc
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
3
by a section elaborating the VAR methodology. The sixth section discusses results
while the final section concludes the study.
2. Potential Role for Money under Flexible Inflation Targeting
Under Flexible Inflation Targeting (FIT), the overriding objective of Monetary
Authorities (MA) across the world is to achieve price stability. At the same time, MA
also minimizes the undesirable fluctuations in other key macroeconomic variables
such as economic growth. To achieve this objective, central banks choose appropriate
intermediate and operational targets. Typically, the intermediate target is the variable
which helps in predicting the path of ultimate targets while the operational target is
the variable that the central bank can control on daily basis.
While there is a range of intermediate targets such as broad money, inflation forecast,
nominal exchange rate and nominal gross domestic product to choose from, there is
relatively limited choice between interest rate and reserve money as the operational
targets. The literature (Poole 1970) suggests that the decision to choose between
money and interest rate as the operational target mainly depends on the relative
frequency of money demand shocks and aggregate demand shocks. In case of more
prevalence of money demand shocks, interest rate rule performs better while in case
of more frequent aggregate demand shocks money targeting is suitable.
In Pakistan’s case, money demand shocks are more frequent. Specifically, abrupt
changes in the government borrowing from State Bank of Pakistan (SBP) and erratic
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
4
behavior of foreign inflows are beyond SBP’s control and difficult to predict. In the
presence of these shocks, hitting the reserve money target is possible only at the costs
of very large changes in the interest rate. Thus natural choice for Pakistan is to choose
interest rate as the operation target. Pakistan switched to this target in 2009. In
strategic plan for 2016-2020, State Bank of Pakistan envisioned to adopt flexible
inflation targeting by 2020.
Along with shifting to flexible inflation targeting, State Bank of Pakistan has started
making its decision on the basis of policy input provided by New-Keynesian Models
such as forecasting and policy analysis system (FPAS). These models widely used for
policy advice do not make any reference to monetary aggregates (Taylor, 1999).
Although monetary aggregates does not play central role in the new regime, it is not
desirable for SBP to ignore monetary aggregates entirely. This is because they still
contain useful information for assessing the future path of ultimate target of price
stability. They may play the same role as played by the other key variables such as
exchange rate, industrial production index, inflation expectations survey, fiscal
accounts and external accounts in assessing the future path of ultimate targets. For
instance, monetary aggregates are still useful for the following reasons.
First, data on monetary aggregates is available in the timely manner and is less subject
to revisions. As Friedman (1990s) suggests the changes in money balances could
convey information about fluctuations in Gross Domestic Production (GDP). This
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
5
argument fits well for Pakistan where GDP data is available on annual basis. Thus
weekly monetary trends could be used as an indicator of economic activity in Pakistan.
Second, analysis of monetary aggregates may be more useful for monetary and fiscal
policies coordination. Specifically, Pakistan is suffering from fiscal dominance where
relying on interest rates alone may not be sufficient to control and assess inflation.
This is because relatively less interest rate elastic government borrowings from the
banking system dilutes the effectiveness of monetary policy. Thus composition of
monetary aggregates conveys information about the plausibility of meeting the
objective of price stability.
Third, monetary aggregates are considered as the more reliable indictors of tightness
of monetary policy than interest rates. For instance, in the 1980s both the short term
interest rates and monetary growth fell sharply in United States. Looking solely at
interest rates suggested that this period was one of the extreme monetary policy ease
while sharp fall in monetary growth indicated tight monetary policy. The mid-1980s
economic downturn, however, showed that monetary policy was in fact tight and that
interpretation of monetary policy based on monetary aggregates is more reliable than
that of short-term interest rates (McCallum and Edward (2010)).
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
6
FY8
2
FY8
4
FY8
6
FY8
8
FY9
0
FY9
2
FY9
4
FY9
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FY9
8
FY0
0
FY0
2
FY0
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FY0
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FY0
8
FY1
0
FY1
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FY1
4
FY1
6
3. Descriptive Analysis 3.1: Simple Correlation
For descriptive analysis, we have used last 36 years annual data spanning from 1980
to 2016. The data suggests that average broad money growth during this period was
14.8 percent while average inflation during the same period was 8.5 percent. Unlike
considerable difference in means, the volatility of both the series was almost same as
is depicted by standard deviation of around 4 during the period under review.
Figure 1: Broad Money Expansion and Inflation Mo netary Expansion Inflat io n
25
20
15
10
5
0
Figure1 shows positive correlation between monetary expansion and inflation.
Figure 2 shows the correlation between inflation and leads and lags of monetary
expansion. It may be observed from the figure that contemporaneous correlation
between inflation and money growth is low. Importantly, lags of money growth has
strong correlation with inflation that indicates that money growth can be used as a
leading indicators for future price movements. .
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
7
Figure 2: Dynamic Correlation between Monetary Growth and Inflation
0.45
0.40
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
-42 -39 -36 -33 -30 -27 -24 -21 -18 -15 -12 -9 -6 -3 0 3 6 9 12
Figure 3: Dynamic Correlation between Inflation and Components of Money Growth
0.50
0.45
0.40
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
0.60
0.50
0.40
0.30
0.20
0.10
0.00
NDA Growth
-42 -39 -36 -33 -30 -27 -24 -21 -18 -15 -12 -9 -6 -3 0 3 6 9 12
Govt Borrowing Growth
-42 -39 -36 -33 -30 -27 -24 -21 -18 -15 -12 -9 -6 -3 0 3 6 9 12
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
-0.05
-0.10
-0.15
-0.20
NFA Growth
-42 -39 -36 -33 -30 -27 -24 -21 -18 -15 -12 -9 -6 -3 0 3 6 9 12
Private Sector Credit Growth
-42 -39 -36 -33 -30 -27 -24 -21 -18 -15 -12 -9 -6 -3 0 3 6 9 12
Within the components of monetary aggregates, expansion in net domestic assets and
government borrowings from the banking system has strong contemporaneous
correlation with inflation while credit to private sector has very weak correlation with
inflation. This probably reflects the fact that government borrowings from the banking
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
8
system are usually used to finance current expenditures that adds more to aggregate
demand than aggregate supply and leads to inflationary pressures in the economy.
However, credit to private sector not only adds to aggregate demand but also enhance
productive capacity of the economy. As a result, economy can grow at a higher rate
without generating inflationary pressures. Interestingly, there is a negative correlation
between expansion in net foreign assets and inflation. This probably reflects the fact
that build up in net foreign assets is associated with better external inflows that leads
to exchange rate stability. This stability in exchange rate cascades to consumer prices
through stable prices of the imported items. Further, exchange rate stability also leads
to stability in inflation expectations of the households and businesses that help contain
inflation. This suggests that along with looking at monetary expansion at aggregated
level, the disaggregated monetary aggregates is also important for plausibility of price
stability.
The above analysis suggests that a) correlation between money growth and inflation
with lag is high than contemporaneous correlation between the two and b) growth in
some of the components of broad money (budgetary borrowing) has high correlation
with inflation than that of other components.
3.2: Granger Causality
So far we were looking at the simple correlation which tells nothing about causation.
In order to check the causation, we applied Granger causality test on the annual data
from 1980-2016.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
9
Granger causality tests shows that money growth does Granger cause inflation but
inflation does not Granger cause money growth. Regarding components of broad
money, growth in net domestic assets and growth in government borrowings from the
banking system does Granger cause inflation but inflation does not granger cause
these components.(see Table 3). Further, neither NFA growth nor inflation causes
each other. Likewise, there is no causation in either direction between private sector
credit growth and inflation. These results are consistent with our simple correlation
analysis.
Table 1: Pairwise Granger Causality Tests
Null Hypothesis: Obs F-Statistic Prob.
Money Growth does not Granger Cause Inflation
34
6.67
0.00
Inflation does not Granger Cause Money Growth 0.52 0.60
Net Domestic Assets Growth does not Granger Cause Inflation
34
3.33
0.05
Inflation does not Granger Cause Net Domestic Assets Growth 1.94 0.16
Net Foreign Assets Growth does not Granger Cause Inflation
34
0.25
0.78
Inflation does not Granger Cause Net Foreign Assets Growth 0.83 0.45
Government Borrowing Growth does not Granger Cause Inflation
34
2.73
0.08
Inflation does not Granger Cause Government Borrowing Growth 0.72 0.49
Private Sector Credit does not Granger Cause Inflation
34
0.48
0.63
Inflation does not Granger Cause Private Sector Credit 0.60 0.56
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
10
4. Methodology 4.1-Event Study
In this case we divided the money growth and inflation into high growth episodes and
low growth episodes. Since average inflation for last 66 years (1951-2016) is 7.5
percent, we considered inflation above this rate as high inflation and below this rate as
low inflation. Likewise, average money growth during last 66 years is 13.6 percent, so
money growth above this rate is considered as high and below this rate as low money
growth.
Based on this categorization, we compare the episodes of both episodes of high and
low growth money with the inflation in the subsequent year. Specifically, we divided
the events into four distinct categories. These categories are a) high growth in broad
money followed by high inflation in the next period, b) high growth in broad money
not followed by high inflation in the subsequent period, c) low growth in broad
money is not followed by lower inflation and d) lower growth in broad money is
followed by low inflation in the next period.
4.2-Structural VAR
Following Irving Fisher, we use following quantity equation of exchange to study
monetary dynamic of inflation.
M tVt PtYt
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
11
* * *
Where M, V, P and Y are the quantity of money, the income velocity, the price level
and real income respectively. This equation can be written into price equation as
follow:
Pt M tVt / Yt
Taking log of the equation we get.
log( Pt ) log( M t ) LOG(Vt ) log(Yt )
To get the equation for inflation, we difference the equation.
1 dP
1 dM 1 dV
1 dY
P dt M dt V dt Y dt
Or
t Mt Yt Vt
Where π is YoY inflation, M *
is YoY growth in money, Y * is YoY growth in income
and V *
is YoY growth in income velocity of money. We assume constant income
velocity. i.e V *
equal zero.
-
To estimate this equation, the author preferred VAR over simple Ordinary Least
Square on the following grounds. First, our variables are simultaneously related which
implies biased OLS estimates. Second, VAR analysis is superior to a single equation
approach for allowing feedback among the variables and capturing the long run
dynamics of variables.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
12
We relied on time series properties of the data to select the appropriate VAR to
estimate this equation. It may be pointed out there are three possible VAR
specifications to estimate this equation based on unit root test and co-integration test.
First, if all the variables are integrated of order zero i.e I(0), then long run relationship
among the variables is out of question and the appropriate technique is standard VAR
in level.
Second, if all the variables are integrated of order one i.e I(1) and there is no co
integration among the variables, the standard case is VAR in first difference.
Third, if all the variables are integrated of order one i.e I(1), and long run relationship
among variables could not be rejected then Error Correction term has to be included
in the VAR. This is called Vector Error Correction Model (VECM) which can be seen
as restricted VAR.
In our case, all the variables are level stationary, so we apply Standard VAR in level.
For this technique we consider a simple covariance stationary trivariate dynamic
simultaneous equations model:
Where
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
13
1
yt 0 2 0 0 2
t i.i.d 0, 0 2 0
0 0
0 2
mt 3
This model is called a structural VAR (SVAR), since it is assumed to be derived by
some underlying economic theory. The exogenous error terms yt ,
t and mt
are
independent and interpreted as structural innovations. Specifically, yt ,
t
and
mt are unexpected shocks to real output, inflation and real money supply that are
uncorrelated with one another.
In the matrix form, the model becomes,
+
This can be written as:
X t 0 1 X t 1 t
Where X t is a vector given by:
Or
p
X t A0 A1 X t 1 t i1
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
14
Where p is the optimal lag length necessary to turn error term t
white noise.
It may be pointed out that structural shocks are unobservable. However, these shocks
can be identified by using information from running reduced form VARs and
imposing some identifying restrictions based on economic theory. Following
Christiano et al (2001), we identify the monetary shock mt
by imposing the
following contemporaneous restrictions:
A)- Monetary shocks do not affect output within the same month i.e b13 = 0
B)-Monetary Shocks do not affect inflation within the same month i.e b23 = 0
For the disaggregated analysis, we ran six different VARs. One for aggregate money
and five each for different components (Net Domestic Assets, Net Foreign Assets,
government borrowing from the banking system and credit to private sector) of broad
money.
In addition to running a parsimonious tri-variate VAR, we tried to address the
possible problem of omitted variable bias by including other determinants of inflation.
Specifically, the simple VAR was extended to include global oil prices and exchange
rate.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
15
* *
In the new specification, X t is a vector given by:
Where POLt
is the YoY growth in global oil prices, and ERt
is the depreciation
(+)/appreciation (-) of exchange rate.
5 Data and Results
5.1-Event Study
The results of the event study show that in the last 36 years5, in 23 years above
average money growth was followed by above average inflation rate in the next year
and below average money growth was followed by below average inflation rate in the
next year (Table 2). This indicates that around two thirds of the time money growth
was able to predict inflation in the next year.
In the rest of the years, movement in broad money was not able to predict the next
year inflation. During these years, however, changing composition of the broad
money provided useful information to predict future inflation.
There were only 6 occasions when above average money expansion was followed by
below average inflation. During this period, expansion in Net Foreign Assets (NFA)
5 Disaggregated data of monetary assets is available from 1978 onward only.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
16
Inflation > 7.5%
15a 7c
22
NDA growth
Contribution in M2 growth
Net Domestic Assets
Budgetary Borrowing
18
91
42
15
127
65
had considerable contribution behind money expansion. Specifically, 23 percent of
expansion in money was contributed by NFA during those 6 years. NFA expansion
was accompanied with appreciation of exchange rate which had dampening effect on
inflation rate. Further budgetary borrowing which is considered as most inflationary
component of broad money contributed only 39 percent in the overall monetary
expansion in those years.
Table 2: Relationship between Money growth in inflation (1981-2016)
M2 (-1) growth > 13.6 M2 (-1) growth <13.6
Years
Years
Inflation < 7.5%
NDA growth
Contribution in M2 growth
Net Domestic Assets
Budgetary Borrowing
6b 8d
14
11.0 10.9
77 102
39 29
Tot-number of years 21 15 36
Source: Authors Calculations, a: High money growth high inflation, b: High money growth low inflation, c: Low money
growth high inflation, d: low money growth low inflation
Likewise, for the 7 years below average monetary was followed by above average
inflation in the following year. During these years, budgetary borrowing alone
contributed on average 65 percent in overall monetary expansion while NFA showed
contraction.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
17
In both the above cases, where above/below average money growth is not followed by
above/below average inflation rate in the following year, compositional changes in
monetary expansion are helpful in explaining next year inflation. Specifically, growth
in broad money driven by expansion in net domestic assets is more inflationary than
growth in broad money that is driven by expansion in net foreign assets.
5.2-Structural VAR
We used annual data on growth rates of Real Gross Domestic Products, real money
supply, real government borrowing from the banking system, real Net Domestic
Assets, real Net Foreign Assets, real credit to private sector and Consumer prices
index (CPI). The data covers period from 1980-2016.
Table 3 reports the estimates of the unit roots tests for the stationarity of the variables.
All the variables are stationary at level i.e they are Integrated of order zero I(0). Since
the variables do not contain unit roots, the presence of co integration among the
variables could not be determined. This suggests a standard VAR in level. In order to
choose the optimal lag length, we used Akaike information criterion (AIC), Schwarz
information criterion (SC) and Final prediction error (FPE). These criteria suggest
optimal lag length of two to render the residuals white noise.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
18
5.2.1. Analysis of Impulse Responses Figure 4 captures the dynamic effect of growth in real money balances and its
components on inflation over a horizon of ten years. The components of real money
balances include NDA, NFA, budgetary borrowing from the banking system and
credit to private sector. First we analyze the impact of unanticipated real money
balances shock on inflation and then that of components of real money balances.
The Impulse Response Function (IRF) of inflation shows that unanticipated real
money balances shocks has positive impact on inflation. This impact reaches at its
peak after two year when as a result of one standard deviation unanticipated shock to
growth in real money balances, inflation rises by 145 basis points. After this period
the positive impact of real money balances shocks on inflation gradually dies down.
This suggests that unanticipated real money balances shocks would result in higher
inflation rate in Pakistan. Ninety five percent confidence interval shows that impact of
unanticipated shock to real money balances on inflation remains statistically
significant in the first four to five year. After this period the impulse becomes
statistically insignificant and gradually dies out.
Analysis of the IRF of inflation to unanticipated shocks to components of real money
balances yields some interesting insights. For instance, unanticipated shock to real
NDA growth has much pronounced positive impact on inflation while unanticipated
shock to real NFA growth has negative impact on inflation (figure 4). This
contrasting impact of two components of real money balances on inflation may
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
19
apparently be attributed to exchange rate dynamics. As positive shock to NFA means
higher foreign inflows that potentially strengthen the rupee dollar parity. This
appreciation of exchange rate passes through to lower inflation. On the other hand,
positive shock to NDA reflects higher rupee liquidity in the system that could weaken
the exchange rate. As a result, depreciating local currency has positive impact on
inflation.
Specifically, one standard deviation unanticipated shocks to real net domestic assets
increases the inflation by around 100 basis points in the first two years and then the
impulse gradually dies down. Ninety five percent confidence interval shows that this
impact is statistically significant in the first three and a half years.
Impact of unanticipated shock to real net foreign assets on inflation is negligible.
Ninety five percent confidence interval shows that this impact is not statistically
significant.
Difference is also observed between the impact of net budgetary borrowing and credit
to private sector on inflation. In line with our expectations, one standard deviation
unanticipated shock to real net budgetary borrowing growth has relatively higher
impact on inflation than the impact of one standard deviation real private sector credit
growth shock. This difference may be explained by the output dynamics.
It may be pointed out that a large part of government expenditures in Pakistan are
current in nature. Thus unanticipated shock to government borrowing from the
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
20
banking system may lead to aggregate demand pressure. However being current in
nature, these expenditure are less likely to boost the productive capacity of the
economy. The resultant output gap, owing to unmatched increase in productive
capacity, possibly leads to inflationary pressures in the economy.
On the other hand positive shock to private sector credit may boost investment
activities in the economy as well. Thus besides increasing aggregate demand, this
shock also increase productive capacity of the economy. This could be the probable
reason of relatively benign impact of unanticipated private sector credit shock on
inflation than that of the impact of unanticipated budgetary borrowing shock.
In particular, one standard unanticipated shock to government borrowings from the
banking system increases the inflation by around 80 basis points in the first two years
and this impulse dies down speedily after that period. Ninety five percent confidence
interval shows that this impact is statistically significant for two and a half years.
Unanticipated to real private sector credit on the other hand has negligible impact on
inflation. Besides economic insignificance, the confidence interval shows that this
impact is statistically insignificant.
Robustness Check
In order to check the robustness of our results, we augmented the tri-variate VAR
with other potential determinants of inflation. The variables set was broadened to
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
21
include global oil prices and exchange rate.. The result of this VAR was not much
different from tri variate VAR (see Figure 4 and Figure 5) which suggest that our tri-
variate VAR results are robust to inclusion of new variables in the system.
To sum up, IRF analysis of inflation shows real money balances has statistically
significant positive impact on inflation. Further, some components of money like
NDA and budgetary borrowing shocks have more pronounced impact on inflation. In
contrast, NFA shock and credit to private sector has statistically insignificant impact
on inflation. Thus while assessing the plausibility of meeting inflation target,
monetary authority should not only look at the aggregate money balances trend but
also its composition.
5.2.2Analysis of Variance Decomposition
Variance decomposition of inflation shows that real money balances are are the
important determinant of inflation in Pakistan. Specifically, these balances explain
around 20 percent of the total variation in inflation (Figure 6). However, this impact
varies across different components of real money balances. For instance, NDA
explains around 7.0 percent of the total variation in inflation followed by net
budgetary borrowing from the banking system which explains 5.04 percent of the
total variation in inflation. The share of the remaining components of broad money i.e
NFA and private sector credit in explaining variation in inflation is negligible.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
22
It may also be mentioned here that results show that global oil prices, exchange rate
and GDP growth explain a considerable part of the variation in inflation in Pakistan.
In particular, oil prices, exchange rate and GDP growth accounts for around 15
percent, 10 percent and 4 percent variation in headline inflation.
6. Conclusion
This study analyzes the relationship between money growth and inflation from two
perspectives. The first one focuses on the relationship between broad money growth
and inflation while the second focuses on the growth in components of broad money
and inflation.
The study attempts to answer this question with the help of parametric and non-
parametric approaches. In the first case, the author uses event study approach while in
the latter case a sophisticated econometric technique called Structural VAR is
benefitted from. The study uses the annual data ranging from 1980-2016
The results of both the event study and structural VAR show that monetary aggregates
are still an important determinants of inflation in Pakistan. Changes in monetary
aggregates is an important leading indicators for future movements in inflation.
Further, analysis of compositional changes in monetary aggregates is also quite useful
for assessing the objective of price stability. For instance, government borrowings
from the banking system to finance fiscal deficit has very pronounced impact on
future inflation. On the contrary the study found that expansion in NFA has
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
23
dampening impact on inflation. To sum up, monetary expansion driven by fiscal
deficit financing seems to be most inflationary. On the other hand, monetary
expansion driven by private sector credit and buildup in NFA appears to be least
inflationary.
The above findings suggest that though State Bank of Pakistan has shifted to interest
rate targeting from money targeting and is building the models for monetary policy
analysis where money has lesser role, monetary aggregates are still relevant for
assessing the plausibility of achieving the objective of price stability.
Equally important is the analysis of compositional changes in monetary aggregates. In
the episodes where monetary expansion is driven by fiscal deficit financing
(government borrowings from the banking system) tightening monetary policy alone
may not be sufficed to tame inflationary pressures in Pakistan. This is because
government borrowings from the banking system are largely driven by the
government fiscal needs, which are less sensitive to changes in policy rate. As a result,
monetary policy tightening affect the money demand largely through reduction in
credit to private sector which is relatively less inflationary component of money. Thus
for the monetary policy to deliver, coordination between monetary and fiscal policy
and fiscal consolidation (curtailment of fiscal expansion) is also must.
These findings may also be used to construct a more useful weighted average
monetary index for assessing the objective of price stability. Currently, there is a
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
24
fashion of constructing monetary aggregate index from liability side. Specifically,
different monetary liabilities are weighed according to their liquidity content and then
a weighted monetary index is constructed. We argue that this type of index can also
be constructed from assets side of money. Different monetary assets could be weighed
according to their inflationary impact and then a weighted monetary index be
constructed.
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
25
References
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Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
27
Table 3: ADF Test Results
ADF Test
Critical Value
Statistics (5 %) Probability Conclusion
Level
GDP growth
-3.5
-2.9
0.005
I(0)
Real M2 growth -5.5 -2.9 0.000 I(0)
Inflation -4.0 -2.9 0.004 I(0)
Real NDA growth -5.6 -2.9 0.000 I(0)
Real NFA growth -5.3 -2.9 0.000 I(0)
Real Budgetary Borrowing growth -5.3 -2.9 0.000 I(0)
Real oil price growth -5.3 -2.9 0.000 I(0)
Real Exchange rate growth -5.5 -2.9 0.000 I(0)
Real Private Sector Credit growth -3.0- -2.9 0.04 I(0)
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
28
Lower Infla tion U pper
1 2 3 4 5 6 7 8 9 10
Figure 4: Tri-Variate VAR: Impulse Response of Inflation to One Standard Deviation
Unanticipated Shock in Real Money Growth and its Components
Real Broad Money Expansion Real Net Domestic Assets Expansion
2.0
1.5
Lower Inflation Upper
2.0
1.5
Lower Inflation Upper
1.0 1.0
0.5 0.5
0.0
-0.5
1 2 3 4 5 6 7 8 9 10
0.0
-0.5
1 2 3 4 5 6 7 8 9 10
-1.0
Real Public Sector Borrowing Growth
-1.0
Real Net Foreign Assets Expansion
2.0
1.5
Lower Inflation Upper
2.0
1.5
Lower Inflation Upper
1.0 1.0
0.5 0.5
0.0
-0.5
1 2 3 4 5 6 7 8 9 10
0.0
-0.5
1 2 3 4 5 6 7 8 9 10
-1.0 -1.0
Real Private Sector Credit
2.00
1.50
1.00
0.50
0.00
-0.50
-1.00
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
29
Figure 5: Five-Variate VAR: Impulse Response of Inflation to One Standard Deviation
Unanticipated Shock in Real Money Growth and its Components
Broad Money Expansion Net Domestic Assets Expansion
2
1.5
1
0.5
0
-0.5
-1
-1.5
-2
Lower Inflation Upper
1 2 3 4 5 6 7 8 9 10
2
1.5
1
0.5
0
-0.5
-1
Lower Inflation Upper
1 2 3 4 5 6 7 8 9 10
Public Sector Expansion
2
1.5
1
0.5
Lower Inflation Upper
Net Foreign Assets Expansion
2
1.5
1
0.5
0
Lower Inflation Upper
0
-0.5
1 2 3 4 5 6 7 8 9 10
-0.5
-1
1 2 3 4 5 6 7 8 9 10
Flexible Inflation Targeting and Relevance of Monetary Aggregates for Inflation in Pakistan
30
Figure 6: Variance Decomposition of Inflation
Real Money Balances Explains around 20 % of variation in Inflation
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
global oil GDP Exchange Rate Inertia Real Money balances
Real NDA Explains around 7 % of variation in Inflation
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
global oil GDP Exchange Rate Inertia Real Money balances (ndar)
Real Government Borrowing Explains around 5 % of variation in Inflation
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
global oil GDP Exchange Rate Inertia Real Money balances (Govt Borowing)
Real NFA Explains around 1 % of variation in Inflation
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
global oil GDP Exchange Rate Inertia Real Money balances (nfar)
Real Private Sector Credit Growth Explains around 0.3 % of variation in Inflation
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
1 2 3 4 5 6 7 8 9 10
global oil GDP Exchange Rate Inertia Real Money balances (Psc)