Controlling Parallel Exchange Market by Monetary Targeting and
Anti-Inflationary Policies
Bijan Bidabad[1]
Abstract
In
this paper, the triangular relationship between money, price, and foreign
exchange are studied. It is concluded that regulating the exchange rate by
volume of liquidity in a period of less than a year is not possible, but in
annual and biannual analyses, we can regulate the exchange rate through
controlling the liquidity. In other words, in the long run, the exchange rate
is affected by liquidity and price level, but in the short run, the price level
has only temporary effects on the exchange rate. The results of the study show
that:
� Liquidity
affects the exchange rate in the long run
� Prices affect
the liquidity in the long run
� In the long run,
liquidity and exchange rate affect prices
Our results show that
injection of foreign exchange into the parallel exchange market with different
lags has little effects with different directions on the exchange rate. The
same result is true for the relationship between liquidity and dollar rate. In
other words, in spite of the long run relationship between exchange rate and
liquidity, we cannot justify this relationship in the short run. The same is
true with the balance of payments position and exchange rate in the short run.
By simulating the
relationship between injecting (selling) foreign exchange in the parallel
exchange market, liquidity and the cumulative balance of payments all with
exchange rate, we can conclude that in the short run, regulating exchange rate
by instruments such as selling exchange in the parallel market or controlling
the liquidity is not possible, but in the long run, conducting foreign exchange
sale policy and controlling the liquidity and the balance of payments position
can control the exchange market.
Keywords:
Foreign
exchange, Money supply targeting, Monetary policy, Market control, Exchange
rate policy
1. Introduction
Mixed monetary-exchange
policy making is one of the important problems in macro-economic planning. If
monetary and exchange policies are selected independently, one policy may
neutralize the effects of the other, and other goals such as price
stabilization may not be fulfilled. Therefore, selection of the mixed policies
in this regard is one of the fundamental subjects in obtaining economic
stabilization goals. For this reason, the present study will consider mixed
policies of controlling liquidity and exchange rate for obtaining inflation
control. Therefore, two major policies of monetary and exchange rate targeting
are regarded as a base, and price stabilization policy is introduced from the
mutual relationship of the two mixed policies.
Since usually for
applying a policy, we have to use only one instrument, controlling the general
level of prices by one policy variable faces difficulty from a mathematical
point of view because this means to solve an equation with two unknowns. The
solution for unknown variables is achieved through a combination of possible
solutions. Keeping this in mind, and regarding that our policy variable in this
discussion is liquidity which has a direct effect on both our targeted exchange
rate and targeted inflation rate variables, therefore, obtaining one target,
automatically achieves the other target; but the only remaining problem is the
effect on the second target is not as much as we wished a priori. In other
words, it means that if liquidity decreases A percent, the decrease in the
exchange rate and the inflation rate will be B percent and C percent
respectively. Therefore, in order to reach target B, we can use the variable A,
but the figure for C will be obligatory (automatically) defined. But since the
targets have the same direction, reaching B is accompanied by somehow of
reaching target C, which is not as much as the policymaker intended.
In order to obtain
predefined amounts for B and C, the policy variables should be increased to
two. This means that we have to change simultaneously the two variables of
liquidity and foreign exchange supply in order to control the two variables of
the value of the national currency (exchange rate) and inflation rate. In this
case, the number of instrumental variables is equal to the number of target
variables, and the problem has a solution from a mathematical point of view.
Therefore, we select two main lines for our study, which are practically based
upon our two target variables. These two axes are as follows:
� Inflation
targeting policies
� Exchange rate
targeting policies
Several surveys have
been carried out about inflation targeting, and this policy is regarded as a
recognized method for controlling inflation. The basis of this policy is using
monetary instruments to control liquidity in order to achieve an optimum rate
of inflation. The abstract of these concepts is presented by a joint paper of
M. Mojarrad and B. Bidabad in 1997. There are many documented guidelines about
targeting the exchange rate, which is described in the collection of trade and
exchange rate policies of governments and central banks around the world for
controlling the supply of foreign exchange. They are all somehow connected to
the supply of foreign exchange, but in this paper, we will only consider the
direct interference of the central bank as an instrument of foreign exchange
supply control.
2. Inflation
targeting and monetary policy in Iran (IR)
There are many
discussions between economists about inflation with the meaning of a rapid and
sustained increase in prices from its reasons and sources, its economic
importance, its control and its effects on other economic variables points of
view, which are not mentioned in this paper. There are also many studies in
Iran about inflation, its causes, and effects. Most of these studies confirm
that inflation in Iran is a monetary phenomenon, and other factors such as
those concerning supply side, or cost-push inflation have fewer effects on the
increase of general price level. More explicitly, we can say that although
inflation sources of supply-side have had short-run effects on prices, in the
long run, inflation in Iran has been demand pull[2].
On the basis of many studies, we can conclude that about 99% of long-run price
changes were caused by the increase in liquidity. In other words, they confirm
the monetary nature of inflation in the country and consider the control of liquidity
as the only way for controlling inflation. Regarding different studies
conducted in Iran, we realize that Monetary Transmission Mechanism which
is the affecting method of monetary policy and liquidity on the real sector of
the economy which almost has had no effects, because it couldn't create any
motivation through decreasing the rate of interest of banking loans. In other
words, liquidity can only affect the demand through price increases. This
notion opens the way for Iran's policymakers in targeting inflation via
controlling the liquidity without worrying about the depression of the supply
side. In other words, now we can claim that the decrease in liquidity will not
cause production decrease. It is clear that all these concepts are considered in
the domain of long term analyses.
Before recent five
years plans, we practically didn�t have any targeting policy as in comparison
with other countries for controlling the inflation but during first and second
development plans of 1989-93 and 1995-1999; we observe some targeting for
controlling the inflation. These targeting in the text of the plan's aims are
specified as a defined rate of inflation as a target.
We have some
similarities with other countries in targeting. In general, the practices of
other countries show that the targeting plan for controlling inflation is in
the medium term framework. Regarding the goals of the first and second
development plan, we see similar policies for medium-term goals. The second
plan, which was arranged on the bases of the stability of internal and external
sectors from the stability of prices and balance of payments points of view,
had a target rate of 12.4% for the annual inflation rate. Of course, regarding
the special position of our country from a dependency point of view on oil
income and oil shocks and various international problems, it seems that if this
goal was set in a range which could cover the effects of foreign fluctuations,
it would increase the credibility of targeting for controlling the inflation. In
this regard, we can mention the deep affectability of monetary policy from
fiscal policy and considering the experience of other countries for controlling
inflation; this concept will be very important.��
In the third
development plan, the views of the planners on economic problems were changed
in general, and therefore, they didn�t use classic methods for planning in
determining quantitative goals. That is why we can�t perceive their views on
inflation targeting. The third plan was in general concerned about structural
reforms and did not discuss the details of quantitative goals.
Considering all above
concepts, there is also another important principle in other countries which is
considered as the reason for their success, and it is credibility, acceptability
and the belief of private sector about targeting policies for controlling
inflation for which unfortunately no important step has been taken about this
concept in Iran. The other problem is the responsiveness of the monetary
authorities to defined goals. It seems that the central bank should not surpass
its legal authorities. Surpassing credit ceilings reduces the responsiveness of
the central bank to the concerned authorities. Keeping these ceilings in other
countries is strictly regarded by policymakers of other countries. If the
central bank pursuit only ad hoc and day-to-day policies, it cannot achieve the
predefined goals.
It is also clear that
in order to a complete success in conducting monetary policies, necessary
conditions should be available so that all monetary tools could be used. The
study of previous conditions and backgrounds shows that the central bank could
not use some of her legal monetary instruments effectively. These include open
market operations, discount window, reserve requirement ratio, and the interest
rates of bank loans and credits. All these instruments could not be used
thoroughly or partially because of their own reasons.
3. Exchange rate
targeting policy�
As it was mentioned,
all policies that are to somehow related to exchange rate control can be
related to exchange rate targeting, and most of the economic policies are to
somehow related to foreign exchange. But at this moment, we are focused on the
supply of foreign exchange for controlling the exchange rate. The generality of
this discussion is prevailing in exchange rate management policies, but here we
only study the open market policy conducted on foreign exchange by monetary
authorities in the parallel market. This policy is called �sale of foreign
exchange in the parallel (free) market� and was adopted for the period of 1989
to 2001.
In general, it is clear
that whenever governments try to control prices through non-economic measures
which are in confliction with supply and demand mechanism, automatically a
parallel market is developed. The emergence of the parallel exchange market in
the previous two decades is not exempted from this general rule. Governments
consider parallel markets as an obstacle for implementing their policies, but
we should accept that parallel markets are the results of the government
policies. In other words, whenever we do not follow the inherent rules of
economics, we should be waiting for the emergence parallel market in the same
field of policymaking.
Before the revolution,
the foreign exchange parallel market was negligible. Very few amounts of
foreign exchange were transacted in exchange offices at a price which followed
the exchange rate of the banking system, so these exchange offices pegged their
rates between of bid and offer rates of the banking rates. In other words,
their bid rate was a little more than the bid rate of the banking system, and
their offer rate was a little lower than the banking offer rates. This method
of pricing helped them to survive; in other words, their profit margin was
between the profit margins of the banks. After the revolution, banks developed
regulations on exchange sale, which was considered as a restriction for the
supply of foreign exchange. The restricted supply practically pushed up the
rates, but the government kept banking rates unchanged, which caused to develop
a parallel market with higher rates. Because of the unordinary conditions of
post-revolution, the gap between the parallel market and banking rates widened.
The government tried several times to control this market with new regulations.
The extent of these regulations went so far to consider the dealers of the
parallel market as trouble-makers, or economic terrorists and heavy penalties
were developed for them, and police and security forces were used against this
market, but the government had little success in eliminating this market.
One of the policies
applied against this market was government interference in the market by direct
sale of foreign exchange in order to increase the supply and decrease the
parallel rates. This policy was conducted in several ways so that the banking
system also sold foreign exchange with special rates and conditions. Sometimes
the central bank gave official permissions to private foreign exchange offices
and sold foreign exchange through these offices. In some exceptional cases, the
brokers of the central bank sold foreign exchange on the nearby main streets.
These decisions were made on the bases of the analysis of the decision makers
of those days, but the main principle behind these decisions was injecting
foreign exchange into the market in order to decrease the parallel rates and
achieve income in Rial terms.
The main precondition
for applying this policy is the acceptance of an unofficial foreign exchange
market. In some years, the policymakers were so radical that they considered
the dealers of the parallel market as smugglers and punished them very
severely, which suggests that this policy was not developed very well. We
should accept that during the scarcity of foreign exchange supply with fixed
rate regime, this is a natural phenomenon, and the market mechanism creates it
automatically. The best method of dealing with this market is accepting it for
the first time. This means that we should legally accept the transactions
through this market and even consider it as an economic activity and prevent
any noise from it and in the next phase automatically try to marginalize it by
applying policies and adopting reforms in foreign exchange management. If the foreign
exchange system tends to unify, the management of the system becomes
transparent. In other words, all transactions of goods and services should be
done in single rates, and the rate of the parallel market will, at last, be
within the margins of official rate fluctuations.
Since the prices of
many items of goods and services are affected by the foreign exchange rate in
the parallel market and its fluctuations will cause the fluctuation of the
prices of goods and services, the stabilization of the foreign exchange rate in
the parallel market will cause partial stabilization in goods and services
market. The injections of foreign exchange into the parallel market for
stabilization will spill over into other markets.
After the revolution in
Iran, the volume of money in circulation has had an increasing trend. Economic
theories demonstrate that this increase will lead to depreciation of money, in
other words, when the volume of Rial is increased, we should expect that the
value of Rial is to be reduced against foreign currencies, or its parity rate
decreases. We have practically seen this event in the past few decades. The
increase of the volume of Rial from 2613 billion in 1996 to 320957 billion
Rials at the end of 2001 can be the main cause of the increase of parity rate
of American Dollar from 70 Rials to 8000 Rials. Econometric researches also
confirm this finding.
The policy of selling
foreign exchange in the parallel market not only increases the supply of
foreign exchange but also decreases the amount Rial in the market, both of
which will strengthen the national currency. Most of the increases of the
amount of liquidity after the revolution have been the result of the expansion
of monetary base through the increases of government sector debts to the banking
system. The details of this phenomenon have been described in several pieces of
research, but here we consider that the mentioned results are sufficient to be
used and not to be retested. The increase of the government sector�s debt to
the banking system has been created through financing budget deficit by
borrowing from the banking system, which is similar to seignorage of extra
money by expanding the monetary base. The policy of selling foreign exchange in
the parallel market can be regarded as a method for partially financing the
budget deficit. In this way, the government can finance the budget deficit by
selling foreign exchange in the parallel market at unofficial prices without
obligation of borrowing from the banking system. In other words, without
increasing the liquidity (in spite of borrowing from the banking system), this
policy can finance the budget deficit.
Price increase and
inflation in Iran has a monetary source. Many studies confirm this hypothesis.
The increase in money supply causes an increase in general price level instead
of increasing the supply of goods and services in the economy. Regarding this
concept, it could be said that the policy of selling foreign exchange in the
parallel market will decrease the price level through the decreasing foreign
exchange rate which causes to decrease the price of imported commodities which
use foreign exchange from the parallel market sources, and also through
decrease of liquidity which has a deflationary effect.
After the approval of
the Usury-Free Banking Law, since bond has usuric nature, it cannot be applied
as a policy tool for changing the amount of money in circulation. In the
western economies, central banks conduct open market operations by buying and
selling bonds, and decrease or increase the amount of money in circulation and
thereby, affect the interest rates and investment thereafter. But as it was
mentioned earlier, since it is not possible to use bonds, it is not possible to
conduct open market operations. The government interference in the parallel
exchange market affects liquidity, and if the government buys, as well as
selling foreign exchange in this market, these activities will be more similar
with open market operations, and therefore, it is possible to affect interest
rate in the parallel market by applying this policy. Of course, this kind of
operation is not completely in accordance with open market operation, but when
other monetary instruments are not efficient enough, or applicable, this policy
is of great help to monetary authorities.
After this explanation,
we return to the policy of selling foreign exchange in the parallel market.
This policy confirms the followings:
� The parallel
market is implicitly accepted
� It is a step
towards exchange rate unification
� It helps to
stabilize the rates of foreign exchange
� It decreases the
amount of available Rial, and thereof strengthens the national currency
� It can partially
finance the budget deficit
� This policy has
deflationary effects
� �It can be regarded as a monetary tool for open
market operations
�������������������
Year |
sale
of foreign exchange in the parallel market (Billion Rials) |
1982 |
0.00 |
1983 |
5.70 |
1984 |
34.50 |
1985 |
88.70 |
1986 |
17.90 |
1987 |
87.00 |
1988 |
141.50 |
1989 |
744.30 |
1990 |
2256.80 |
1991 |
2510.70 |
1992 |
4078.00 |
1993 |
4775.00 |
1994 |
0.00 |
1995 |
2765.00 |
1996 |
5407.00 |
1997 |
10428.70 |
1998 |
6021.90 |
1999 |
18532.20 |
2000 |
39323.50 |
2001 |
52445.10 |
The
table above shows the amount of foreign exchange sold in the parallel market
from 1982 to 2001. �Since the Central Bank has sold foreign
exchange at different rates during this period, we have only the amounts in
Rial term (not in Dollars).
In
the macro-econometric model of Iran[3],
the effect of selling foreign exchange in the parallel market has been studied.
The calculations show that by selling foreign exchange equal to one thousand
billion Rials, the exchange rate of the parallel market decline will be 65
Rials.
4. The
relationship between the exchange rate in the parallel market and liquidity
Perhaps
the most important and famous view about the method of defining the parity of
exchange rate is to consider it as a price which is defined by the intersection
of supply and demand of foreign exchange in the market. This view is regarded
as the view of the balance of payments for determining the exchange rate
because the supply and demand of foreign exchange is created through the
transactions registered in the balance of payments. Balance of payments has two
main different parts of current account and capital account. The current
account includes the difference between imports and exports of goods and
services and the net value of other received and payments such as
compensations, gifts and etc. in connection with foreigners. If in this account
imports exceed exports, it is said that the account is facing a deficit and
vice versa. It is clear that this account is not necessarily always in balance.
If this account is facing a deficit, it will be compensated by other accounts.
This deficit means that the expenses abroad have been more than earnings from
abroad.
One
way of compensating this deficit is by the use of the capital account. In other
words, this deficit will be deducted from the existing capital, or some amount
of capital equal with the deficit has been transferred out of the country, so
that brings the balance of payments to the equilibrium position. If there are
no other transactions in the capital account, in order to keep the balance of
payments, we have to import foreign capital as much as a deficit in the form of
foreign loans, or the decrease of foreign exchange reserves or investment
permissions to foreigners, etc. In other words, if a country faces a deficit in
the balance of payments, it means that the reserves and assets of the country
have been decreased. The monetary view of the balance of payments with
emphasize on capital account practically defines the role of the balance of
payments in determining the exchange rate. In simpler words, this view says
that when the balance of payments is facing a deficit, the foreign assets will
decrease equally. The importers go to the foreign exchange market according to
their previous demand function, but since the supply of foreign exchange has
been decreased as much as the deficit of balance of payments, the exchange rate
increases. This increases the price of imported goods and therefore, decreases
the demand for import; moreover, since export has become more profitable,
exports will increase and leads to a new balance of payments and new exchange
rate.������
Here,
the important thing is the amount of demand for import and the supply of export
which specify this mechanism. Both of these functions are the result of
domestic and external prices. In other words, whenever external prices do not
change, and internal prices increase, the demand for import increases, and the
supply for export decreases. These changes in import and export, through
changes in the balance of payments and changes in the amount of foreign
reserves, will cause changes in the foreign exchange rate. In other words, when
domestic prices increase, the purchasing power decreases, but the demand for
imported goods increases in comparison with domestic goods, which has now a
higher price. Practically this situation causes an increase in the foreign
exchange rate. An increase in the supply of national money has also a similar
effect on the demand for the foreign exchange rate in the same way. The
increase in national money supply will increase gross domestic expenditures,
and domestic prices and the demand for imported goods will increase, and
exports will decrease. Because as it was mentioned before, the demand for
imports and the supply of exports are functions of domestic and external
prices. The increase in demand for imports and the decline in the supply of
exports will lead to a balance of payments deficit, which means an increase in
demand for foreign currency because of the import increase. The interaction
between the national currency and foreign exchange in the market for exchanging
national money into the foreign exchange will ultimately lead to the increase
of foreign exchange rate. In the second round, this increase will lead to the
adjustment of the balance of payments and with higher prices and a higher rate
of foreign exchange; a new equilibrium will be achieved in the economy. This
phenomenon has been prevailing in the economy of Iran after the revolution. The
permanent increase in the money supply has practically increased domestic
prices and has decreased the purchasing power and caused the devaluation of the
national currency. Several pieces of research confirm this phenomenon[4].
There are also several papers showing that the permanent increase in the supply
of money has caused the slow to lose the value of the national currency[5].
In these papers, an econometric model for Iran has been evaluated, and this
hypothesis has been tested. Unfortunately, because of poor data available about
the balance of payments, testing this hypothesis faces difficulties. Some of
the problems of the balance of payments data have been described in annual
economic reports of the Central Bank and papers written by the author in 1994
and 1995. In the research carried out by the author and Komijani (1992), the
relationship of Dollar rate in the parallel market and balance of payments has been
shown through econometric models. These researches show the strong descriptive
effect of the balance of payments variable on the variations of the foreign
exchange rate in the parallel market. But in spite of these confirmations,
because of data problems of the balance of payments, the calculation results
are very sensitive to every single year data, and by increasing or decreasing a
single observation, the results of calculations will change very much.
In
the continuation of the above-mentioned researches about the testing this
hypothesis whether the continuous increase in the parity rate of Dollar with
Rial in the parallel market is because of the increase of liquidity, various
calculations have been carried out[6].
This calculation shows that by an increase of one trillion Rial of liquidity,
the exchange rate in the parallel market increases 37.5 Rials. The results of
the regression of this calculation describe 96 percent of the variations. That
is to say, that 96 percent of the changes in the foreign exchange rate in the
parallel market is due to the increase in liquidity.
Sometimes,
economic analysts doubt that the increase of foreign exchange rate is the cause
of the increase in liquidity and prices. In this regard, they believe that
external shocks in the foreign exchange revenues are practically the reason for
this increase, or the devaluation policy of the government has increased
liquidity and prices.
In
order to check the direction of causality, we conduct the following test. The
aim of this test is first to find out whether the increase in the foreign
exchange rate has caused an increase in liquidity? Secondly, is it true that
the increase in the foreign exchange rate has caused prices to increase? In
other words, which one is the cause and which one is the effect? To do this,
Granger-Sims causality test has been carried out on monthly data. First, we
test the causality of liquidity and the rate of foreign exchange in the
parallel market. Then we test the causality of liquidity and price level. This
shows that price level is not the main reason for the increase of liquidity,
while, the increase of liquidity is the main source of the general price
increase.�
In
short, from the above discussions, we conclude that the increase of liquidity
not only increases the price level in Iran but also has caused an increase in
the foreign exchange rate. In other words, the increase of liquidity in the
country is the cause of decreasing the purchasing power of the national
currency, and the decrease of parity rate of Rial against foreign exchanges.
Therefore, the only way for stabilizing exchange rate is the controlling of
liquidity. Otherwise, other temporary policies such as those conducted in the
previous two decades, are not considered proper policies, because although
those policies could have positive effects on the market, in the long run, will
ruin the infrastructure for investment[7].
Therefore, considering the above discussions, the foreign exchange market
should be controlled through mixed exchange and monetary policies.
5. Time series
analysis
In
this section, we test the time series for stationarity, to be used in the next
sections. The following variables have been tested for unit root. All data are
monthly series. Several tests such as DF[8]
and ADF[9]
have been used, and by using correlogram, auto-correlation, and partial
correlation, the necessary differences were extracted to make the series
stationary. Tests have been carried out on the followings variables:
According
to the studies, the following table has been prepared which shows the changes
for making the stationery of the variables
Variable ��������������������������������������������� ��������������� �Changes made to
make the series stationary�����������������
Exchange
rate [D(DOLLAR)]��������������������������
First order difference
Consumer
price index [D(CPI)]������������������������
First order difference
Liquidity DLOGM2112=D(log(M2),1,12)���� First order difference and 12 months
difference on logarithm
After doing changes to make the series stationary, we
concluded that:
�
The logarithm of most of the series increases
stationarity
�
Some monetary series and prices needed 12 months
difference
�
Therefore, the following variables can be regarded as
I(1)� variables
�
D(Log(Dollar), ,12)
�
D(Log(CPI), ,12)
�
D(Log(M2), ,12)
6. Causality
between the main variables
The
previous studies and the assumptions of the present study are based on the
tight relationship between monetary variables, foreign exchange rate, and
prices. In this section, we use causality tests on these variables. In other
words, we want to test the direction of the effect on the foreign exchange rate
by the monetary variable and general price level.
By
the previous section, we found out the different orders to make the necessary
time series stationary. Now we use these results. Before evaluating the
causality between the variables, in order to find the correct form of Granger
relationship, we have to check for their co-integration.
If
the residual of long term regression of the two variables are stationary, or in
other words, they have not a unit root, the two variables are co-integrated. If
so, their simple difference will not be enough for regression, and therefore,
the model should be used as ECM[10].
Although this correction can explain the short variations of the model around
the long term trend by inserting an error item which has been obtained from the
long run equation, it adds its own problems to the model. For example, if the
specification of the model is not strictly supported by economic theory, the
results of the Error Correction Model will have conceptual problems.
7. Theoretical
dynamic causality among variables
When
we define a regression, we implicitly presuppose that what variable or
variables explain another variable which is defined as the dependent variable.
It means that we define the causality relationship in which, by changing a
variable, the dependent variable will change. This causality relationship can
be a one-way relationship or two ways. If X causes Y, but Y has no effect on X,
it is a one-way relationship. But if X affects Y, and Y affects
X, then we have a two-ways or polar relationship. One of the methods for the
causality test is the Granger test. This test is based on this concept that the
future can not affect the past or the present time. The test is a kind of
VAR(k) test:
�
Upon
the above equations, we can evaluate the following different cases:
1. If
2. If
3. If
In order to test the
above hypothesis, we use F statistics. This test will be carried out after
testing for stationarity and making variables stationary before further use.
8. The dynamic
causality among variables (practical)�
Regarding the mentioned
cases in the previous section, by using the Granger causality test, we
test the variables two by two and with different lags. The first group of tests
includes testing causality among three variables in a range of 1 to 24 lags:
The second group of
tests is similar to the first group with one difference that the logarithms of
variables are used instead of the original ones.
The summary of the
results of these tests is presented in the next tables and diagrams. The table
of F statistics defines the probability of accepting the null hypothesis. This
hypothesis is defined as follows:
H0:� The variable one is not the cause of the
second variable.
H1:
The variable one is the cause of the second variable.
If the calculated F is
greater than F in the table, we reject the null hypothesis, and if the
calculated F is smaller than F in the table, we accept the null hypothesis.
The following table
gives F statistics for a large number of observations (more than 120 in this
case) and the degree of freedom of the denominator equal to 5 percent and 1
percent level of significance:
F
statistics for a number of observations over 120 and degree of freedom of
numerator (lag)
24 |
20 |
15 |
12 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
Lags |
1.52 |
1.57 |
1.67 |
1.75 |
1.83 |
1.88 |
1.94 |
2.01 |
2.10 |
2.21 |
2.37 |
2.60 |
3.00 |
3.84 |
5% level of significance F |
1.79 |
1.88 |
2.04 |
2.18 |
2.32 |
2.41 |
2.51 |
2.64 |
2.80 |
3.02 |
3.32 |
3.78 |
4.61 |
6.63 |
1% level of significance F |
���
By considering the next
tables and the graphs for a simple non-logarithmic model, we conclude:
� The change in
Dollar rate, after at least 1 month, will lead to a change in liquidity.
� �The change in liquidity will affect Dollar
rate after 1 month, and its further effects appear after 9 to 11 months and
again after 2 years changes the Dollar rate.
� Changes in
prices affect liquidity after a lag of 8 months to 2 years.
� Liquidity
changes will affect prices after 1 year.
� Price changes
affect the Dollar rate after 1 month.
� Changes in
Dollar rate affect CPI in every lag.
In short, with the
analysis of the above conclusions, at 95% of significance level, we can draw
the following diagram:
�������������������������������������� With 3
to 5 months lag
Liquidity Dollar RATE Prices
���������������������� With 23 to 24 months lag
With 2 to 24 months
lag
Always With 12 to 24
months lag After 9 to 24 months lag
�� �
Simple |
F-Statistics |
|||||
Number
of Lags |
ddollar112
does not Granger cause dm2112 |
dm2112
does not Granger cause ddollar112 |
dcpi112
does not Granger cause dm2112 |
dm2112
does not Granger cause dcpi112 |
dcpi112
does not Granger cause ddollar112 |
ddollar112
does not Granger cause dcpi112 |
1 |
2.754 |
3.292 |
0.148 |
0.250 |
2.257 |
6.882 |
2 |
3.980 |
1.220 |
0.268 |
0.784 |
8.270 |
4.553 |
3 |
6.872 |
1.444 |
0.071 |
0.459 |
5.796 |
2.950 |
4 |
5.729 |
0.857 |
0.868 |
0.356 |
4.901 |
3.784 |
5 |
4.883 |
1.116 |
1.408 |
1.157 |
6.056 |
3.440 |
6 |
4.091 |
1.626 |
1.285 |
1.291 |
5.095 |
3.334 |
7 |
4.776 |
1.379 |
1.302 |
1.267 |
5.383 |
4.325 |
8 |
4.221 |
1.150 |
1.347 |
0.961 |
5.225 |
3.775 |
9 |
4.345 |
1.780 |
3.038 |
0.930 |
4.265 |
4.127 |
10 |
4.244 |
1.747 |
2.715 |
0.818 |
3.790 |
3.657 |
11 |
3.918 |
1.649 |
2.496 |
1.175 |
3.367 |
4.448 |
12 |
3.700 |
0.742 |
2.176 |
1.859 |
2.456 |
2.577 |
13 |
3.403 |
0.694 |
2.137 |
1.863 |
2.335 |
2.509 |
14 |
3.157 |
0.671 |
2.036 |
2.014 |
2.473 |
2.339 |
15 |
2.780 |
0.637 |
2.075 |
1.739 |
2.198 |
2.622 |
16 |
2.541 |
0.696 |
2.173 |
1.959 |
2.232 |
2.250 |
17 |
2.505 |
0.715 |
2.197 |
1.849 |
2.107 |
2.102 |
18 |
2.345 |
0.801 |
2.433 |
1.815 |
2.227 |
2.057 |
19 |
2.294 |
0.943 |
2.546 |
1.699 |
2.095 |
1.992 |
20 |
2.320 |
1.097 |
2.382 |
1.558 |
1.998 |
1.852 |
21 |
2.419 |
1.050 |
1.997 |
1.629 |
2.063 |
1.866 |
22 |
2.753 |
1.142 |
1.801 |
1.628 |
2.185 |
1.907 |
23 |
2.500 |
1.620 |
1.732 |
1.640 |
2.190 |
1.862 |
24 |
2.363 |
1.633 |
1.634 |
1.697 |
1.591 |
1.597 |
Simple |
Probability |
|||||
Number
of Lags |
ddollar112
does not Granger cause dm2112 |
dm2112
does not Granger cause ddollar112 |
dcpi112
does not Granger cause dm2112 |
dm2112
does not Granger cause dcpi112 |
dcpi112
does not Granger cause ddollar112 |
ddollar112
does not Granger cause dcpi112 |
1 |
0.098 |
0.071 |
0.700 |
0.617 |
0.134 |
0.009 |
2 |
0.020 |
0.297 |
0.764 |
0.457 |
0.000 |
0.011 |
3 |
0.000 |
0.231 |
0.975 |
0.710 |
0.000 |
0.034 |
4 |
0.000 |
0.490 |
0.483 |
0.839 |
0.000 |
0.005 |
5 |
0.000 |
0.353 |
0.223 |
0.332 |
0.000 |
0.005 |
6 |
0.000 |
0.143 |
0.266 |
0.263 |
0.000 |
0.004 |
7 |
0.000 |
0.217 |
0.251 |
0.268 |
0.000 |
0.000 |
8 |
0.000 |
0.333 |
0.222 |
0.467 |
0.000 |
0.000 |
9 |
0.000 |
0.076 |
0.002 |
0.499 |
0.000 |
0.000 |
10 |
0.000 |
0.075 |
0.004 |
0.611 |
0.000 |
0.000 |
11 |
0.000 |
0.091 |
0.006 |
0.307 |
0.000 |
0.000 |
12 |
0.000 |
0.707 |
0.014 |
0.042 |
0.006 |
0.004 |
13 |
0.000 |
0.766 |
0.014 |
0.037 |
0.007 |
0.004 |
14 |
0.000 |
0.799 |
0.017 |
0.019 |
0.003 |
0.006 |
15 |
0.000 |
0.839 |
0.013 |
0.048 |
0.009 |
0.001 |
16 |
0.001 |
0.793 |
0.007 |
0.018 |
0.006 |
0.006 |
17 |
0.001 |
0.782 |
0.006 |
0.026 |
0.010 |
0.010 |
18 |
0.003 |
0.695 |
0.001 |
0.027 |
0.005 |
0.011 |
19 |
0.003 |
0.531 |
0.000 |
0.041 |
0.008 |
0.013 |
20 |
0.002 |
0.361 |
0.001 |
0.070 |
0.011 |
0.022 |
21 |
0.001 |
0.411 |
0.009 |
0.049 |
0.008 |
0.019 |
22 |
0.000 |
0.314 |
0.021 |
0.047 |
0.004 |
0.015 |
23 |
0.000 |
0.051 |
0.027 |
0.042 |
0.003 |
0.017 |
24 |
0.001 |
0.047 |
0.041 |
0.030 |
0.056 |
0.055 |
The same study
regarding the logarithms of the variables gives the following conclusions:
�
Change of Dollar rate affects liquidity after 3 to 5
months.
�
Change of liquidity does not affect the Dollar rate.
�
Price changes after 3 months affect liquidity.
�
Liquidity change does not affect prices.
�
Price changes after 6 to 11 months and also after 13 to
15 months causes changes in the Dollar rate.
�
Changes in Dollar rate causes changes in prices after 11
months.
In short, the above
conclusions can be shown at a 95% level of significance in the diagram below:
Liquidity Dollar rate Prices
�������������������������������������������
With 3 to 5 months lag
��������������������������������������������������������������������������������������
Log |
F-Statistics |
|||||
No.
of Lags |
Dlogdollar112
does not Granger cause dlogm2112 |
dlogm2112
does not Granger cause dlogdollar112 |
dlogcpi112
does not Granger cause dlogm2112 |
dlogm2112
does not Granger cause dlogcpi112 |
dlogcpi112
does not Granger cause dlogdollar112 |
dlogdollar112
does not Granger cause dlogcpi112 |
1 |
0.640 |
0.025 |
3.308 |
0.374 |
0.441 |
0.274 |
2 |
1.910 |
1.789 |
1.586 |
0.226 |
0.273 |
1.323 |
3 |
4.043 |
1.127 |
2.737 |
0.405 |
1.006 |
1.093 |
4 |
3.175 |
0.814 |
2.097 |
0.341 |
0.686 |
0.879 |
5 |
2.397 |
1.061 |
1.734 |
0.923 |
1.811 |
1.007 |
6 |
1.966 |
0.972 |
1.408 |
0.763 |
2.467 |
1.271 |
7 |
1.809 |
0.959 |
1.351 |
0.643 |
2.368 |
1.007 |
8 |
1.614 |
0.945 |
1.166 |
0.527 |
2.274 |
0.920 |
9 |
1.752 |
0.921 |
1.552 |
0.570 |
2.102 |
0.836 |
10 |
1.544 |
1.029 |
1.393 |
0.629 |
2.449 |
0.881 |
11 |
1.425 |
1.661 |
1.263 |
0.917 |
2.120 |
2.077 |
12 |
0.875 |
0.874 |
0.826 |
0.413 |
1.455 |
1.519 |
13 |
0.742 |
0.796 |
0.851 |
0.385 |
1.920 |
2.059 |
14 |
0.660 |
0.722 |
0.697 |
0.483 |
1.823 |
1.819 |
15 |
0.644 |
0.731 |
0.721 |
0.475 |
2.180 |
2.779 |
16 |
0.593 |
0.823 |
0.780 |
0.540 |
1.555 |
2.759 |
17 |
0.698 |
0.773 |
0.855 |
0.480 |
1.475 |
2.558 |
18 |
0.720 |
0.769 |
0.910 |
0.560 |
1.580 |
2.193 |
19 |
0.693 |
0.854 |
0.854 |
0.559 |
1.521 |
2.185 |
20 |
0.687 |
0.816 |
0.834 |
0.559 |
1.383 |
2.114 |
21 |
0.712 |
0.777 |
0.805 |
0.584 |
1.323 |
2.126 |
22 |
0.701 |
0.761 |
0.814 |
0.602 |
1.323 |
2.379 |
23 |
0.595 |
0.752 |
0.914 |
0.541 |
1.509 |
2.569 |
24 |
0.599 |
0.840 |
0.796 |
0.561 |
0.965 |
2.398 |
Log |
Probability |
|||||
No. of Lags |
dlogdollar112 does not Granger cause dlogm2112 |
dlogm2112 does not Granger cause dlogdollar112 |
dlogcpi112 does not Granger cause dlogm2112 |
dlogm2112 does not Granger cause dlogcpi112 |
dlogcpi112 does not Granger cause dlogdollar112 |
dlogdollar112 does not Granger cause dlogcpi112 |
1 |
0.424 |
0.872 |
0.070 |
0.541 |
0.507 |
0.600 |
2 |
0.151 |
0.170 |
0.207 |
0.797 |
0.761 |
0.268 |
3 |
0.008 |
0.339 |
0.044 |
0.749 |
0.391 |
0.353 |
4 |
0.015 |
0.517 |
0.082 |
0.849 |
0.602 |
0.477 |
5 |
0.039 |
0.383 |
0.128 |
0.467 |
0.113 |
0.415 |
6 |
0.073 |
0.445 |
0.213 |
0.599 |
0.026 |
0.273 |
7 |
0.088 |
0.462 |
0.228 |
0.719 |
0.025 |
0.427 |
8 |
0.124 |
0.480 |
0.321 |
0.834 |
0.025 |
0.501 |
9 |
0.081 |
0.507 |
0.133 |
0.819 |
0.032 |
0.583 |
10 |
0.129 |
0.421 |
0.186 |
0.787 |
0.009 |
0.552 |
11 |
0.167 |
0.087 |
0.249 |
0.525 |
0.022 |
0.025 |
12 |
0.573 |
0.573 |
0.623 |
0.956 |
0.147 |
0.123 |
13 |
0.718 |
0.663 |
0.604 |
0.973 |
0.032 |
0.020 |
14 |
0.808 |
0.748 |
0.774 |
0.939 |
0.040 |
0.041 |
15 |
0.833 |
0.748 |
0.759 |
0.950 |
0.009 |
0.000 |
16 |
0.884 |
0.656 |
0.705 |
0.921 |
0.090 |
0.000 |
17 |
0.799 |
0.720 |
0.627 |
0.958 |
0.113 |
0.001 |
18 |
0.784 |
0.732 |
0.566 |
0.922 |
0.075 |
0.006 |
19 |
0.819 |
0.638 |
0.638 |
0.929 |
0.089 |
0.005 |
20 |
0.831 |
0.689 |
0.669 |
0.934 |
0.143 |
0.007 |
21 |
0.812 |
0.740 |
0.709 |
0.923 |
0.174 |
0.006 |
22 |
0.829 |
0.764 |
0.703 |
0.917 |
0.172 |
0.001 |
23 |
0.923 |
0.781 |
0.579 |
0.956 |
0.082 |
0.000 |
24 |
0.925 |
0.678 |
0.736 |
0.949 |
0.516 |
0.001 |
Adding up the above results, we can draw the following
diagram for short term analysis:
���������������������������������������������������������
The
following diagram is for more than a year analysis:
�������������������������� ���������������������������������������������
The above diagrams show that foreign exchange rate cannot
be regulated by changing liquidity in less than a month, and the results show
that only the general price level can affect this variable. But in one to two years
of analysis, the foreign exchange rate can be regulated by liquidity control.
In other words, the long run trend of the foreign exchange rate is affected by
liquidity and price level changes, but since price changes have also short term
effects on the foreign exchange rate, therefore, we can change this hypothesis
in error correction model as follows:
Foreign exchange rate = long term function (price level,
liquidity) + error
If in the first order stationary condition of the three
variables of the foreign exchange rate, liquidity, and price level, the
co-integrated regression creates stationary error, we follow the error
correction model.
After the study of the foreign exchange rate, liquidity,
and price index variables and making them stationary, we follow the model with
stationary variables. With the estimation of long-run function, we realized
that the existing co-linearity between liquidity and CPI, practically the
obtained weights are not as they were expected and therefore, it is not
possible to follow error correction model.
On the basis of obtained graphs and results for long run
effects, we consider the three following relationships:
EQ1: DOLLAR=C(1)*M2+ C(2)*DUMMY8000 + C(3)*DUMMY8000*M2 +
C(4) + reseq1
EQ2: M2= C(11)*CPI+C(12) +C(13)*DUMMY8000+C(14)*DUMMY8000*CPI+
reseq2
EQ3: CPI=
(C(21)+C(22)*DUMMY8000)*DOLLAR+(C(23)+C(24)*DUMMY8000)*M2�
���������������� +C(25)+ C(26) *DUMMY8000 +
reseq3
These equations show the mathematical causality
relationship between our variables. Regarding the existence of high
co-linearity between liquidity and price level, the price variable has been
omitted from the first equation. In order to consider the policies for fixing
Dollar rate at 8000 Rials, the dummy variable �dummy8000� has been introduced
into the model which affects the intercept, as well as the slope. The amount of
this dummy from the 11th month of 1998 and afterward is one, and for
other times is zero. The long term regression results regarding the structural
changes in foreign exchange rates and graphs are presented on the next pages.
Dependent
Variable: DOLLAR |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:01 1380:12 |
||||
Included
observations: 192 after adjusting endpoints |
||||
DOLLAR=C(1)*M2+C(2)*DUMMY8000+C(3)*DUMMY8000*M2+C(4) |
||||
|
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
C(1) |
0.039448 |
0.000673 |
58.65213 |
0.0000 |
C(2) |
8738.370 |
269.5357 |
32.42008 |
0.0000 |
C(3) |
-0.043906 |
0.001354 |
-32.42936 |
0.0000 |
C(4) |
511.6349 |
43.06389 |
11.88083 |
0.0000 |
R-squared |
0.984707 |
��� Mean dependent var |
3590.353 |
|
Adjusted
R-squared |
0.984463 |
��� S.D. dependent var |
2774.293 |
|
S.E.
of regression |
345.8132 |
��� Akaike info criterion |
14.55029 |
|
Sum
squared resid |
22482313 |
��� Schwarz criterion |
14.61815 |
|
Log-likelihood |
-1392.828 |
��� Durbin-Watson stat |
0.358974 |
Dependent
Variable: M2 |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:01 1380:12 |
||||
Included
observations: 192 after adjusting endpoints |
||||
M2=C(11)*CPI+C(12)+C(13)*DUMMY8000+C(14)*DUMMY8000*CPI |
||||
|
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
C(11) |
1194.194 |
14.32809 |
83.34637 |
0.0000 |
C(12) |
-2595.321 |
790.6147 |
-3.282662 |
0.0012 |
C(13) |
-212425.6 |
9423.653 |
-22.54175 |
0.0000 |
C(14) |
1565.863 |
60.77294 |
25.76579 |
0.0000 |
R-squared |
0.994373 |
��� Mean dependent var |
82963.88 |
|
Adjusted
R-squared |
0.994283 |
��� S.D. dependent var |
81166.19 |
|
S.E.
of regression |
6137.162 |
��� Akaike info criterion |
20.30273 |
|
Sum
squared resid |
7.08E+09 |
��� Schwarz criterion |
20.37059 |
|
Log-likelihood |
-1945.062 |
��� Durbin-Watson stat |
0.295806 |
Dependent
Variable: CPI |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:01 1380:12 |
||||
Included
observations: 192 after adjusting endpoints |
||||
CPI=(C(21)+C(22)*DUMMY8000)*DOLLAR+(C(23)+C(24) |
||||
������� *DUMMY8000)*M2+C(25)+C(26)*DUMMY8000 |
||||
|
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
C(21) |
0.006521 |
0.000650 |
10.02795 |
0.0000 |
C(22) |
-0.007401 |
0.001988 |
-3.722975 |
0.0003 |
C(23) |
0.000572 |
2.63E-05 |
21.75495 |
0.0000 |
C(24) |
-0.000231 |
2.93E-05 |
-7.896540 |
0.0000 |
C(25) |
-0.741588 |
0.492289 |
-1.506408 |
0.1337 |
C(26) |
90.81921 |
17.52777 |
5.181447 |
0.0000 |
R-squared |
0.997358 |
��� Mean dependent var |
65.82188 |
|
Adjusted
R-squared |
0.997287 |
��� S.D. dependent var |
55.94090 |
|
S.E.
of regression |
2.913712 |
��� Akaike info criterion |
5.007484 |
|
Sum
squared resid |
1579.087 |
��� Schwarz criterion |
5.109281 |
|
Log-likelihood |
-474.7185 |
��� Durbin-Watson stat |
0.290870 |
9. Further study
of co-integration
In order to study
the co-integration and concluding whether the mentioned relationships are long
term relationships or not, we regress the first order difference of the
residuals of each regression to its own lag. In this way, we conduct the unit
root test. This study is shown in the next graphs. The results of these tests
with the study of MacKinnon show that all three equations have long term
nature. In other words:
� Liquidity affects the foreign exchange rate in the long
run.
� Prices affect liquidity in the long run.
� In the long run, both liquidity and Dollar rate affect
prices.
Dependent
Variable: D(RESEQ1) |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:02 1380:12 |
||||
Included
observations: 191 after adjusting endpoints |
||||
Variable |
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
RESEQ1(-1) |
-0.179557 |
0.041502 |
-4.326501 |
0.0000 |
R-squared |
0.089617 |
��� Mean dependent var |
1.756606 |
|
Adjusted
R-squared |
0.089617 |
��� S.D. dependent var |
206.0912 |
|
S.E.
of regression |
196.6398 |
��� Akaike info criterion |
13.40585 |
|
Sum
squared resid |
7346772. |
��� Schwarz criterion |
13.42287 |
|
Log-likelihood |
-1279.258 |
��� Durbin-Watson stat |
1.546716 |
Dependent
Variable: D(RESEQ2) |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:02 1380:12 |
||||
Included
observations: 191 after adjusting endpoints |
||||
Variable |
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
RESEQ2(-1) |
-0.137304 |
0.038807 |
-3.538106 |
0.0005 |
R-squared |
0.061448 |
��� Mean dependent var |
65.24131 |
|
Adjusted
R-squared |
0.061448 |
��� S.D. dependent var |
3319.627 |
|
S.E.
of regression |
3216.017 |
��� Akaike info criterion |
18.99490 |
|
Sum
squared resid |
1.97E+09 |
��� Schwarz criterion |
19.01192 |
|
Log-likelihood |
-1813.013 |
��� Durbin-Watson stat |
2.149772 |
Dependent
Variable: D(RESEQ3) |
||||
Method:
Least Squares |
||||
Sample(adjusted):
1365:02 1380:12 |
||||
Included
observations: 191 after adjusting endpoints |
||||
Variable |
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
RESEQ3(-1) |
-0.143351 |
0.037861 |
-3.786216 |
0.0002 |
R-squared |
0.070105 |
��� Mean dependent var |
-0.011469 |
|
Adjusted
R-squared |
0.070105 |
��� S.D. dependent var |
1.554762 |
|
S.E.
of regression |
1.499273 |
��� Akaike info criterion |
3.653060 |
|
Sum
squared resid |
427.0858 |
��� Schwarz criterion |
3.670087 |
|
Log-likelihood |
-347.8672 |
��� Durbin-Watson stat |
2.238935 |
10. Selling
foreign exchange
One of the
variables which have not been used here is the selling of foreign exchange in
the parallel market. As it was mentioned, the application of this policy can
affect the monetary and exchange sectors of the economy. Unfortunately, the
monthly data for this variable is not available; the annual data as budget information
is available in the central bank reports. These figures have been presented in
the previous sections of this paper. Studies show the relationship between this
variable and the foreign exchange rate in the parallel market. The
Macro-econometric model of Iran[11]
shows that there is a significant relationship between selling foreign exchange
in the parallel market and Dollar rate in that market. The following
relationship has been defined in that model:
Dollar
rate=f(selling exchange in parallel market, liquidity, cumulative balance of
payments)
The above study
showed that it is not possible to find a significant relationship for the above
function in the short run, even though this function is statistically
satisfactory. The reason for that is perhaps the lack of monthly data series of
selling foreign exchange for a long period. As it was mentioned, there is a
long term relationship between these variables; a concrete short-run
relationship has not been found. The cross-correlogram below shows: selling foreign
exchange with different lags has little effects with different directions on
the parity rate of Rial. The next graph shows the same conclusion for the
relationship between liquidity and Dollar rate. In other words, in spite of the
existence of a relationship, in the long run, it is not possible to define such
a relationship in the short run. The same is understood for the position of
balance of payments and the foreign exchange rate in the short run, which is
shown in the next table.�������� �
�
Sample:
1365:01 1381:12 |
||||
Included
observations: 67 |
||||
Correlations
are asymptotically consistent approximations |
||||
D(DOLLAR),D(DOLLARSALE)(-i) |
D(DOLLAR),D(DOLLARSALE)(+i) |
i
|
�lag |
�lead |
�������� .*| .������ | |
�������� .*| .������ | |
0 |
-0.1407 |
-0.1407 |
�������� . | .������ | |
�������� . | .������ | |
1 |
-0.0269 |
-0.0381 |
�������� . |*.������ | |
�������� . | .������ | |
2 |
0.0745 |
-0.0110 |
�������� . | .������ | |
�������� . |*.������ | |
3 |
-0.0109 |
0.1079 |
�������� .*| .������ | |
�������� .*| .������ | |
4 |
-0.0454 |
-0.1017 |
�������� .*| .������ | |
�������� .*| .������ | |
5 |
-0.1365 |
-0.0675 |
�������� . | .������ | |
�������� . |*.������ | |
6 |
0.0475 |
0.0641 |
�������� .*| .������ | |
�������� .*| .������ | |
7 |
-0.1053 |
-0.0632 |
�������� . |*.������ | |
�������� . | .������ | |
8 |
0.1084 |
0.0190 |
�������� . | .������ | |
�������� .*| .������ | |
9 |
0.0280 |
-0.1081 |
�������� **| .������ | |
�������� .*| .������ | |
10 |
-0.2048 |
-0.0789 |
�������� . |*.������ | |
�������� . | .������ | |
11 |
0.1142 |
-0.0271 |
�������� . |**������ | |
�������� . |*.������ | |
12 |
0.1605 |
0.0501 |
����� ���. | .������
| |
�������� . | .������ | |
13 |
0.0005 |
0.0316 |
�������� .*| .������ | |
�������� **| .������ | |
14 |
-0.0655 |
-0.1650 |
�������� . | .������ | |
�������� . | .������ | |
15 |
0.0218 |
-0.0001 |
�������� . |*.������ | |
�������� .*| .������ | |
16 |
0.1266 |
-0.0476 |
� �������. |*.������ | |
�������� .*| .������ | |
17 |
0.0550 |
-0.0689 |
�������� . | .������ | |
�������� . |*.������ | |
18 |
0.0086 |
0.0747 |
�������� . | .������ | |
�������� **| .������ | |
19 |
-0.0288 |
-0.1892 |
�������� . | .������ | |
�������� .*| .������ | |
20 |
-0.0004 |
-0.0746 |
�������� . | .������ | |
�������� .*| .������ | |
21 |
0.0324 |
-0.0957 |
�������� . |*.������ | |
�������� . |*.������ | |
22 |
0.0678 |
0.0993 |
�������� . | .������ | |
�������� . |*.������ | |
23 |
0.0387 |
0.0500 |
�������� .*| .������ | |
�������� **| .������ | |
24 |
-0.0440 |
-0.1928 |
�������� . | .������ | |
�������� .*| .������ | |
25 |
0.0025 |
-0.1299 |
�������� . |*.������ | |
�������� . | .������ | |
26 |
0.0909 |
-0.0069 |
�������� . | .������ | |
�������� . |*.������ | |
27 |
0.0086 |
0.1236 |
�������� . | .������ | |
�������� **| .������ | |
28 |
0.0112 |
-0.1533 |
Sample:
1365:01 1381:12 |
||||
Included
observations: 203 |
||||
Correlations
are asymptotically consistent approximations |
||||
D(DOLLAR),D(M2)(-i) |
D(DOLLAR),D(M2)(+i) |
i
|
�lag |
�lead |
��������� *|.������� | |
��������� *|.������� | |
0 |
-0.0637 |
-0.0637 |
��������� .|.������� | |
��������� *|.������� | |
1 |
-0.0032 |
-0.1046 |
��������� .|*������� | |
��������� .|.������� | |
2 |
0.0735 |
0.0290 |
��������� .|.������� | |
��������� .|*������� | |
3 |
0.0018 |
0.0945 |
��������� *|.������� | |
��������� *|.������� | |
4 |
-0.0427 |
-0.0795 |
��������� .|.������� | |
��������� .|.������� | |
5 |
-0.0394 |
-0.0228 |
��������� .|.������� | |
��������� .|.������� | |
6 |
-0.0116 |
0.0215 |
��������� *|.������� | |
��������� *|.������� | |
7 |
-0.0478 |
-0.0972 |
��������� .|.������� | |
��������� *|.������� | |
8 |
0.0165 |
-0.0565 |
������� ��.|.�������
| |
��������� .|.������� | |
9 |
0.0202 |
-0.0265 |
��������� *|.������� | |
��������� .|*������� | |
10 |
-0.0668 |
0.0606 |
��������� *|.������� | |
��������� *|.������� | |
11 |
-0.0547 |
-0.0608 |
��������� .|.������� | |
��������� .|.������� | |
12 |
0.0154 |
-0.0408 |
��� ������.|.������� | |
��������� *|.������� | |
13 |
-0.0246 |
-0.0432 |
��������� .|.������� | |
��������� .|.������� | |
14 |
0.0371 |
-0.0096 |
��������� .|.������� | |
��������� .|.������� | |
15 |
-0.0167 |
-0.0303 |
��������� .|.������� | |
��������� *|.������� | |
16 |
-0.0284 |
-0.0568 |
��������� .|.������� | |
��������� .|.������� | |
17 |
-0.0306 |
0.0086 |
��������� .|.������� | |
��������� .|*������� | |
18 |
0.0287 |
0.0514 |
��������� *|.������� | |
��������� *|.������� | |
19 |
-0.0566 |
-0.0430 |
��������� .|.������� | |
��������� *|.������� | |
20 |
0.0314 |
-0.0691 |
��������� .|.������� | |
��������� .|.������� | |
21 |
0.0423 |
-0.0146 |
��������� .|.������� | |
��������� .|**������ | |
22 |
-0.0350 |
0.1770 |
��������� .|.������� | |
��������� .|*������� | |
23 |
0.0364 |
0.0625 |
��������� .|.������� | |
��������� .|*������� | |
24 |
0.0253 |
0.0951 |
��������� .|.������� | |
��������� *|.������� | |
25 |
-0.0110 |
-0.0413 |
��������� .|.������� | |
��������� .|.������� | |
26 |
0.0280 |
0.0459 |
��������� .|.������� | |
��������� .|*������� | |
27 |
0.0155 |
0.1052 |
��������� .|.������� | |
��������� .|*������� | |
28 |
0.0230 |
0.0549 |
��������� .|.������� | |
��������� .|.������� | |
29 |
-0.0121 |
0.0491 |
��������� .|.������� | |
��������� .|*������� | |
30 |
0.0073 |
0.0812 |
��������� .|.������� | |
��������� .|.������� | |
31 |
-0.0363 |
-0.0220 |
��������� .|.������� | |
��������� .|.������� | |
32 |
0.0075 |
0.0206 |
��������� .|.������� | |
��������� .|*������� | |
33 |
0.0185 |
0.1227 |
��������� .|.������� | |
��������� .|**������ | |
34 |
-0.0239 |
0.2439 |
��������� .|.������� | |
��������� .|*������� | |
35 |
-0.0059 |
0.0505 |
��������� .|.������� | |
��������� .|*������� | |
36 |
-0.0210 |
0.0883 |
Sample:
1365:01 1381:12 |
||||
Included
observations: 47 |
||||
Correlations
are asymptotically consistent approximations |
||||
D(DOLLAR),DNFAD(-i) |
D(DOLLAR),DNFAD(+i) |
i
|
�lag |
�lead |
������� .�
|� .����� | |
������� .�
|� .����� | |
0 |
-0.0306 |
-0.0306 |
������� .�
|� .����� | |
������� .�
|� .����� | |
1 |
-0.0385 |
-0.0386 |
������� .�
|� .����� | |
������� .�
|� .����� | |
2 |
-0.0307 |
0.0354 |
������� .�
|� .����� | |
������� .�
|� .����� | |
3 |
-0.0261 |
0.0124 |
������� .�
|� .����� | |
������� .�
|� .����� | |
4 |
0.0404 |
-0.0253 |
������� .�
|� .����� | |
������� .�
|� .����� | |
5 |
0.0471 |
-0.0408 |
������� .�
|� .����� | |
������� .�
|� .����� | |
6 |
-0.0207 |
-0.0118 |
������� .�
|� .����� | |
������� .�
|� .����� | |
7 |
-0.0101 |
0.0368 |
������� .�
|� .����� | |
������� .�
|* .����� | |
8 |
0.0163 |
0.0549 |
������� .�
|� .����� | |
������� . *|�
.����� | |
9 |
0.0383 |
-0.1275 |
������� .�
|� .����� | |
������� .**|�
.����� | |
10 |
0.0296 |
-0.1818 |
������� .�
|* .����� | |
������� .�
|* .����� | |
11 |
0.0517 |
0.0591 |
������� .�
|� .����� | |
������� .�
|**.����� | |
12 |
-0.0186 |
0.1877 |
������� .�
|� .����� | |
������� .�
|* .����� | |
13 |
0.0152 |
0.0739 |
������� .�
|� .����� | |
������� .�
|� .����� | |
14 |
0.0239 |
0.0420 |
������� .�
|� .����� | |
������� .�
|* .����� | |
15 |
-0.0109 |
0.0984 |
������� .�
|� .����� | |
������� .�
|* .����� | |
16 |
0.0085 |
0.0788 |
������� .�
|� .����� | |
������� .�
|**.����� | |
17 |
0.0083 |
0.1829 |
������� .�
|� .����� | |
������� .�
|**.����� | |
18 |
-0.0070 |
0.2109 |
������� .�
|� .����� | |
������� .**|�
.����� | |
19 |
-0.0018 |
-0.2099 |
������� .�
|� .����� | |
����� *****|�
.����� | |
20 |
0.0024 |
-0.5167 |
11. Simulation
The analysis of the long-run relationship between selling
foreign exchange in the parallel market, liquidity, and cumulative balance of
payments with foreign exchange is shown by a regression. This analysis, which
is based upon annual data contain these variables:
Irem = the parity rate of one Dollar with Rial
Irm2v = liquidity (billion Rials)
Irboptd = balance of payments (million $)
Irgrdsv = sale of foreign exchange in the market (billion
Rials)
Ird99 = the dummy variable (equal to one in 1998)
Dependent
Variable: IREM |
||||
Method:
Least Squares |
||||
Date:
|
||||
Sample(adjusted):
1960 2001 |
||||
Included
observations: 42 after adjusting endpoints |
||||
IREM
=IREM(-1)+B(20011)*(IRM2V-IRM2V(-1))+B(20012)*IRBOPD |
||||
������� +B(20013)*IRGRDSV+B(20014)*IRD99 |
||||
|
Coefficient |
Std.
Error |
t-Statistic |
Prob.� |
B(20011) |
0.055541 |
0.005340 |
10.40160 |
0.0000 |
B(20012) |
-0.032592 |
0.016491 |
-1.976378 |
0.0554 |
B(20013) |
-0.079829 |
0.008465 |
-9.430504 |
0.0000 |
B(20014) |
1935.572 |
215.1956 |
8.994478 |
0.0000 |
R-squared |
0.993304 |
��� Mean dependent var |
1455.924 |
|
Adjusted
R-squared |
0.992775 |
��� S.D. dependent var |
2421.946 |
|
S.E.
of regression |
205.8675 |
��� Akaike info criterion |
13.58274 |
|
Sum
squared resid |
1610495. |
��� Schwarz criterion |
13.74823 |
|
Log-likelihood |
-281.2374 |
��� Durbin-Watson stat |
2.310237 |
The results show that in the short run, regulating
foreign exchange rate by instruments such as selling foreign exchange in the
market or by controlling liquidity is not possible, but in the long run, it is
possible. For further study, consider these scenarios:
Scenario 0 (baseline): solving the equation with real
exogenous variables
Scenario 1: 10 percent increase in liquidity (irm2v*1.1)
Scenario 2: 10 percent increase in selling foreign
exchange in the market (irgdsv*1.1)
Scenario 3: one billion $ increase in the balance of
payments (irbopd +1000)
These scenarios are defined by 0, 1, 2, and 3 in the next
table, which are baseline solution and other mentioned solutions, respectively.
The results of dynamic simulation show that a 10 percent increase in liquidity,
causes 16.7 percent increase in the foreign exchange rate and a 10 percent
increase in the foreign exchange sale in the parallel market will reduce the
foreign exchange rate by 6.1 percent. This simulation has been carried out for
4 years (1998-2001). The results are presented in the next tables and graphs.
Baseline solution
|
1998 |
1999 |
2000 |
2001 |
IRBOPD |
-1572 |
1845 |
6529 |
4760 |
IREM_0
(Baseline) |
5613.4 |
7646.1 |
7171.1 |
6460.0 |
IRGRDSV |
6022 |
18532 |
39324 |
52445 |
IRM2V |
160402 |
192689 |
249111 |
320957 |
Scenario 1
|
1998 |
1999 |
2000 |
2001 |
IRBOPD |
-1572 |
1845 |
6529 |
4760 |
IREM_1 (Scenario 1) |
6391.6 |
8580.9 |
8379.6 |
8017.1 |
IRGRDSV |
6022 |
18532 |
39324 |
52445 |
IRM2V_1 (Scenario 1) |
176442 |
211958 |
274022 |
353053 |
Scenario 2
|
1998 |
1999 |
2000 |
2001 |
IRBOPD |
-1572 |
1845 |
6529 |
4760 |
IREM_2
(Scenario 2) |
5566.5 |
7454.6 |
6672.8 |
5552.6 |
IRGRDSV_2
(Scenario 2) |
6624 |
20385 |
43256 |
57690 |
IRM2V |
160402 |
192689 |
249111 |
320957 |
Scenario 3
|
1998 |
1999 |
2000 |
2001 |
IRBOPD_3
(Scenario 3) |
-572 |
2845 |
7529 |
5760 |
IREM_3
(Scenario 3) |
5591.3 |
7601.9 |
7104.7 |
6371.5 |
IRGRDSV |
6022 |
18532 |
39324 |
52445 |
IRM2V |
160402 |
192689 |
249111 |
320957 |
The simulated figures of the foreign exchange rate in the three scenarios
|
1998 |
1999 |
2000 |
2001 |
IREM |
6468.4 |
8657.7 |
8188.1 |
8008.4 |
IREM_0
(Baseline) |
5613.4 |
7646.1 |
7171.1 |
6460.0 |
IREM_1
(Scenario 1) |
6391.6 |
8580.9 |
8379.6 |
8017.1 |
IREM_2
(Scenario 2) |
5566.5 |
7454.6 |
6672.8 |
5552.6 |
IREM_3
(Scenario 3) |
5591.3 |
7601.9 |
7104.7 |
6371.5 |
The percentage
change of foreign exchange rate in the parallel market in each scenario,
relative to the results of the baseline solution is shown in the following
table:
|
1998 |
1999 |
2000 |
2001 |
average |
IREM_P_CHANGE_1 (Scenario 1) |
13.9 |
12.2 |
16.9 |
24.1 |
16.7 |
IREM_P_CHANGE_2 (Scenario 2) |
-0.8 |
-2.5 |
-6.9 |
-14.0 |
6.0 |
IREM_P_CHANGE_3 (Scenario 3) |
-0.39 |
-0.58 |
-0.93 |
-1.37 |
0.8 |
12. Conclusion
In
this paper, our goal was to find out the effects of changes in Money on the
foreign exchange rate in the short run and long run. In other words, we were
looking to find out if we can change foreign exchange rate by changing the
liquidity? On the other hand, what is the effect of the price, which has an
important catalyst role in this interaction? Therefore, we looked for the
triangular relationship between money, prices, and foreign exchange rate,
through which we can reach foreign exchange rate control policies.
Calculations
show that regulating foreign exchange rate by changing the amount of liquidity
for a period of less than one year is not possible, and only the general level
of prices can affect this variable. But in annual and biannual analysis, we can
say that the control of the foreign exchange rate can be achieved through
changes in liquidity. In other words, the long run trend of the foreign
exchange rate is defined by liquidity and price level, but prices have also
short term effect on the Dollar rate.
In
the co-integration analysis, we checked whether the above relationships are
credible for the long run or not. We concluded that:
� Liquidity
affects Dollar rate in the long run
� Prices affect
liquidity in the long run
� In the long run,
liquidity and Dollar rate affect the price level
The
long-run analysis with annual data shows that there is a significant
relationship between selling foreign exchange in the parallel market. In other
words, the Dollar rate is a function of the cumulative balance of payments,
liquidity, and the amount of Dollar sold in the parallel market. The short-run
analysis of the relationships shows that we cannot find a statistically
significant relationship in this regard. In other words, there is only a
long-run relationship between the variables, and there is not a clear short
term relationship for them. The studies show that selling Dollars in the market
with different lags have small effects on the Dollar rate in volatile
directions. The same is true with the relationship of Dollar rate and
liquidity. That is to say, in spite of the existence of a long run relationship
between Dollar rate and liquidity, we cannot find this relationship for the
short run. The same is true for the relationship between the balance of
payments and liquidity in the short run.
By
simulation of the amount of foreign exchange sold in the parallel market,
liquidity, and cumulative balance of payments with Dollar rate, we can conclude
that controlling foreign exchange rate in the short run by using tools such as
selling foreign exchange in the parallel market or controlling the liquidity is
not possible, but in the long run, by the policy of selling foreign exchange
and controlling the liquidity and the balance of payments, we can control the
foreign exchange market.
References
A.J. Hagger (1977) Inflation theory
& policy, Macmillan, UK.
Ammer, J., R.I.
Freeman, (1995). Inflation targeting in the 1990s: the experiences of
NewZealand, Canada, and the United Kingdom. Journal of Economic and Business
47: 165-192, North � Holland.
Backus, D.,
Driffill, J. (1985). Inflation and reputation. American Economic Review 73 (3):
530 � 538
Ball, L. (1992)
Why does high inflation raise inflation uncertainty? Journal of Monetary Economics
29:371 � 388.
Belongia
M. T. (1988) Are economic forecasts by government agencies biased? or
Accurate?, Federal Reserve Bank of St. Louis, Review, November/December,
PP-15-23.
Bidabad, Bijan [2014] General
monetary equilibrium. Lap Lambert Academic Publishing, OmniScriptum GmbH &
Co. KG, ISBN: 978-3-659-54045-5, Spring 2014.
Bidabad
B., and N. Kalbasi Anaraki, Inflation Targeting: Case Study of Iran, Paper
prepared for the Second Hallescher workshop. http://www.bidabad.com/
Bidabad,
Bijan, (2007) Triangular Causality and Controlling Parallel Exchange Market.
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بيدآباد،
بيژن (1373) ارتباط
اجزاء منابع و
مصارف بانكها
با بخشهاي
پولي، ارزي و
مالي و مغايرتهاي
موجود در
گزارش
اقتصادي و
ترازنامه
بانك مركزي،
وزارت امور
اقتصادي و
دارايي،
معاونت امور
اقتصادي.
بيدآباد،
بيژن (1374)، برخي
ناهمخوانيها
در حسابهاي
پولي، ارزي و
مالي گزارش
اقتصادي و
ترازنامه
بانك مركزي، معاونت
اقتصادي و
تكنولوژي،
مركز تحقيقات
استراتژيك،
نهاد رياست
جمهوري.
بيژن
بيدآباد (1377)
بررسي اجمالي
اثرات سياست
فروش ارز در
بازار
غيررسمي
اسعار خارجي،
مجله تازههاي
اقتصاد شمارة
84 � صفحات 6- 4.
پژوهشكدة پولي
و بانكي، بانك
مركزي ايران.
بيژن
بيدآباد (1374)
امنيت
اقتصادي و
مروري بر موانع
سرمايهگذاري
در ايران،
مركز
پژوهشهاي مجلس
شوراي اسلامي.
بيژن
بيدآباد (1374) آيا
ابزارهاي
پولي بانك
مركزي در
كنترل حجم
نقدينگي كافي
ميباشند؟
گزارش 4 از
مجموعه مسائل
اقتصاد كلان اقتصاد
ايران، مركز
تحقيقات
استراتژيك
نهاد رياست
جمهوري.
بيژن
بيدآباد (1374) آيا
تورم در ايران
به غير از افزايش
حجم نقدينگي
علت اساسي
ديگري نيز
دارد، گزارش
شماره 3 از
مجموعه مسائل
اقتصاد كلان،
مركز تحقيقات
استراتژيك
نهاد رياست
جمهوري.
بيژن
بيدآباد (1374) آيا
كاهش تورم در
اثر كاهش رشد
نقدينگي سبب كاهش
رشد اقتصادي
در ايران
ميشود؟
گزارش شمارة 2
از مجموعة
مسائل اقتصاد
كلان ايران،
مركز تحقيقات
استراتژيك
نهاد رياست
جمهوري.
بيژن
بيدآباد (1375)
الگوي اقتصاد
سنجي كلان
ايران، مؤسسه
تحقيقات پولي
و بانكي، بانك
مركزي ايران.
ويرايش 4.
بيژن
بيدآباد (1375) آيا
بدون امنيت
اقتصادي ميتوان
انتظار
افزايش
سرمايهگذاري
را داشت؟ گزارش
شمارة 8 از
مجموعه مسائل
اقتصاد كلان
ايران، مركز
تحقيقات
استراتژيك
نهاد رياست
جمهوري.
كميجاني،
اكبر و بيژن
بيدآباد (1369)
تبيين پولي تورم
در اقتصاد
ايران و
امكانپذيري
حصول اهداف
برنامه
پنجساله اول
توسعه
اقتصادي،
اجتماعي و فرهنگي
جمهوري
اسلامي
ايران، وزارت
امور اقتصادي
و دارايي،
معاونت امور
اقتصادي.
كميجاني،
اكبر و بيژن
بيدآباد (1370)
سياستهاي پولي
مناسب جهت
تثبيت
فعاليتهاي
اقتصادي در ايران،
طرح تحقيقاتي
مرحله اول
وزارت امور
اقتصادي و
دارايي،
معاونت امور
اقتصادي.
كميجاني،
اكبر و بيژن
بيدآباد (1371)
سياستهاي پولي
و ارزي مناسب
جهت تثبيت
فعاليتهاي
اقتصادي در
ايران، طرح
تحقيقاتي
مرحله دوم،
وزارت امور
اقتصادي و
دارايي،
معاونت امور
اقتصادي.
مجرد،
محمد جعفر و
بيژن بيدآباد
(1376) سياست
هدفگذاري
براي كنترل
تورم در
ايران، ششمين
كنفرانس سياستهاي
پولي و ارزي،
مؤسسه
تحقيقات پولي
و بانكي، بانك
مركزي جمهوري
اسلامي ايران.
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[1] (B.A., M.Sc., Ph.D., Post-Doc.) Research Professor
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