Examine the Mundell-Fleming
model in a small open economy with perfect capital mobility. Summarise the
effects of Fiscal, Monetary and Trade policies in the Mundell-Fleming model.
The
basic Mundell-Fleming (M-F henceforth) model — like the IS-LM model — is based
on the assumption of fixed price level and shows the interaction between the
goods market and the money market. The model is also known as IS-LM- BoP Model.
The model is an extension of IS-LM Model. The traditional IS-LM model deals
with economy under autarky (or closed economy) the M-F model describe a small open economy. The
model studies relationship between nominal exchange rate, interest rate and
output whereas the IS_LM model studies the relationship between interest rate
and output in a closed economy.
The
model explains the causes of short-run fluctuations in aggregate income (or,
what comes to the same thing, shifts in the AD curve) in an open economy.
The
classical model of exchange rate determination is very simple as it assumes that
domestic interest rates are unaffected by foreign interest rates. The M-F model
is a model for an open economy. It considers a small open economy with perfect
capital mobility. The MF model argues that a economy cannot simultaneously
maintain a fixed exchange rate, free capital movement, and an independent
monetary policy. The principal is called as “M-F trilemma”
This
means that the economy can borrow or lend freely from the international capital
markets at the prevailing rate of interest since its domestic rate of interest
is determined by the world rate of interest. So, the rate of interest is not a
policy variable in the small economy being studied.
This
means that macroeconomic adjustment occurs only through exchange rate changes.
In other words, the brunt of adjustment is borne by exchange rate movements in
foreign exchange markets to maintain the officially determined exchange rate.
The central bank permits the exchange rate to move up or down in response to
changing economic conditions.
Assumptions
of the Mundell Flaming Model:
1.
Small
size of the economy: It
may be recalled that “smallness” of a country has no relation to its
size. A small country is one which cannot alter the world rate of interest
through its own borrowing and lending activities. In contrast, a large economy
is one which has market (bargaining) power so that it can exert influence over
the world rate of interest.
2.
Perfect
Factor Mobility: The
basic assumption of this model is that the domestic rate of interest (r) is
equal to the world rate of interest (r*) in a small open economy with perfect
capital mobility. No doubt any change within the domestic economy may alter the
domestic rate of interest, but the rate of interest cannot stay out of line
with the world rate of interest for long. The difference between the two, if
any, is removed quickly through inflows and outflows of financial capital. Investment
will flow to countries where the return is maximised.
3.
Interest
Rate Parity:
Forward and domestic exchange rates are identical and existing exchange rate
are expected to persist indefinitely. In such a situation, if the domestic
interest rate goes above the world rate, foreigners will start lending to the
home country. This capital inflow will create excess supply of funds and the
domestic rate of interest r again will fall to r*. The converse is also true.
If, for some reason, the domestic rate of interest (r) falls below r*, there
will be capital outflow from the home country and the resulting shortage of
funds will push up r to the level of r*. Thus, in a world of perfect capital
mobility, r will quickly get adjusted to r*.
4.
Fixed
Money Wage:
Unemployed Resources and Constant Returns to scale are assumed.
5.
Spot
and forward exchange rates are identical, and existing exchange rates are expected to
persist indefinitely. The main prediction from the Mundell-Fleming model is
that the behaviour of an economy depends crucially on the exchange rate system
it adopts, i.e., whether it operates a floating exchange rate system or a fixed
exchange rate system. We start with adjustment under a floating exchange rate
system, in which case there is no central bank intervention in the foreign
exchange market.
6.
Domestic
price level is kept constant
and supply of domestic output is elastic.
7.
Taxes
and savings
increase with income
8.
Balance
of trade depends only on income and exchange rate. Demand for money depends on
income and interest rate.
9.
Capital
Mobility is less than perfect
and all securities are perfect substitutes. Only risk neutral investors are in
the system. The demand for money therefore depends only on income and the
interest rate, and investment depends on the interest rate.
For such
a country, either international capital mobility is far from perfect, or the
country is so large that it can exert influence on world capital markets. One
of the main assumptions in the MF model is the assumption of interest rate
parity. We begin explaining this assumption.
M-F model is based on the
following equations
The IS Curve:
Y=C+I+G+NX
Where; C= consumption; I = physical investment; G=
government spending and NX is net exports.
The LM Curve:
A higher interest rate or a lower
income (GDP) level leads to lower money demand.
The BoP (Balance of Payments)
curve:
BoP= CA+KA
Where Bop is a Balance of
Payments surplus, CA is current account surplus and KA is capital account
surplus.
Interest Rate Parity in the same
currency area:
Countries
using same currency are categorised as same currency area for example all
countries using Euro is an example of same currency area. Within a currency
area, at a certain point of time there may prevail the interest rate parity.
There can be no significant differences in the interest rate geographically. If
there are differences in the interest rate there would be the possibilities of
simultaneously buying and selling currency and earn profit out of the
differences in the prices known as arbitrage. Capital will flow from low interest rate to
high interest rate area.
This is
not so simple in different currency areas. Even if you can borrow on low
interest rate and lend it on high interest rate you cannot be sure that you
will earn profit because the exchange rate may depreciate and what you gain
from the interest rate differentials you lose from changes in exchange rate.
The main
prediction from the Mundell-Fleming model is that the behaviour of an economy
depends crucially on the exchange rate system it adopts, i.e., whether it
operates a floating exchange rate system or a fixed exchange rate system. We
start with adjustment under a floating exchange rate system, in which case
there is no central bank intervention in the foreign exchange market.
In such
a situation, if the domestic interest rate goes above the world rate,
foreigners will start lending to the home country. This capital inflow will
create excess supply of funds and the domestic rate of interest r again will
fall to r*.
The
converse is also true. If, for some reason, the domestic rate of interest (r)
falls below r*, there will be capital outflow from the home country and the
resulting shortage of funds will push up r to the level of r*. Thus, in a world
of perfect capital mobility, r will quickly get adjusted to r*.
The Derivation
of Open Economy IS Curve in the M-F Model:
In
the Mundell-Fleming model, the market for goods and services is expressed by
the following equation:
Y = C(Y
– T) + I(r*) + G + NX(e) … (1)
All the
terms have their usual meanings. Here investment depends on the world rate of
interest R* since R = R* and NX depends on the exchange rate e which is the
price of a foreign currency in terms of domestic currency.
In the
Mundell-Fleming model, it is assumed that the price levels at home and abroad
remain fixed. So, there is no difference between real exchange rate and nominal
exchange rate. We now illustrate the equation of the goods market equilibrium
in Figure-1
In part
(a), an increase in the rate from e0 to e1, lowers
net exports from NX(e0) to NX(e1). As a result, the
planned expenditure line E1 shifts downward to E0. Consequently,
income falls from Y1 to Y0. In part (c), we show the
new IS curve, which is the locus of points, indicating alternative combinations
of e and Y which ensure equilibrium in the goods market.
The
new IS curve is derived by following this sequence:
e rises
→ NX falls → Y falls
The
Derivation of Open Economy LM Curve in M-F Model:
The
equilibrium condition of the money market in the Mundell-Fleming model is:
M = L(R*,
Y) … (2)
since R
= R*.
Here the
supply of money equals its demand and demand for money varies inversely with R*
and the positively with Y. In this model, M remains exogenously fixed by the
central bank.
In the
Fig. 3, we show the general equilibrium of goods market and the money market.
The equilibrium income (Y0) and exchange rate (e0) are
determined simultaneously at point A where the IS and LM curves intersect.
The new LM curve, as shown in Fig. 12.2(b), is
vertical — since the equation (2) has no relation to the exchange rate. This
equation determines only Y, whether e is high or low. In Fig. 12.2(a), we draw
the closed economy LM curve as also a horizontal line showing parity between R
and R*.
The
intersection of the two curves at the point A determines the equilibrium level
of income Y0, which has no relation to e, shown on the vertical axis
of Fig.2(b). This is why the new (open economy) LM curve is vertical. The LMN curve
of Fig. 2(b) is derived from R* and the closed economy LM curve, shown in Fig. 2(a).
General Equilibriumin M-F model:
In the Fig. 2, we show the general equilibrium of goods market and the money market. The equilibrium income (Y0) and exchange rate (e0) are determined simultaneously at point A where the IS and LM curves intersect.Main Message of Mundell-Flemming Model:
The main message of the Mundell-Fleming model is that the effect of any economic policy (fiscal, monetary or trade) depends on the exchange rate system of the country under consideration, i.e., whether the country is following a fixed or a floating exchange rate system.
Table 1 summarises the effects of three different policies in the Mundell-Fleming model.
Table:1
The Effects of Three Types of Policies in the Mundell-Fleming Model
The
Mundell-Fleming model shows how to make appropriate use of monetary, fiscal and
trade policies to achieve any desired macroeconomic objective. The influence of
these policies depends on the exchange rate system. Under floating exchange
rate system, only monetary policy can alter national income.
The
effect of expansionary fiscal policy is totally neutralised by currency
appreciation. Under fixed exchange rate system, only fiscal policy can alter Y.
The central bank loses control over money supply since it has to be adjusted
upward or downward for maintaining the exchange rate at a predetermined level.
The
IS LM model under fixed exchange rates:
Under fixed
exchange rate system e (Exchange Rate) is given. We can illustrate this by drawing
a new curve with IS LM diagram called the FE Curve (FE for foreign Exchange).
We have drawn the diagram such that the IS curve intersect the LM curve at
exactly the current interest rate R= R* This is no coincidence- we
will describe why the IS Curve must intersect the LM curve at exactly this
interest rate.
Let us
begin by analysing what will happen when Ms increases when initially we are at
equilibrium.
·
LM
curve shifts outwards from LM1 to LM2 we move from A to B
·
R
falls now R < RF and the
demand for foreign currency increases.
·
Our
currency will depreciate and the central bank must intervene. They will sell
foreign currency and buy domestic currency which will reduce foreign exchange
reserves.
·
When
they buy foreign currency money supply MS will fall LM2 shifts
back to LM1 and we are back at point A.
Monetary
policy has no effect when the exchange rate is fixed according to the MF Model.
Fiscal policy will however work. Fiscal policy works better in open economy
then in closed economy. Monetary policy is less effective with fixed exchange
rate- not that completely ineffective.
The
IS LM model under flexible exchange rates:
With flexible
exchange rates we must also consider depreciation, R=RF + e since e is assumed to be exogeneous the FE
curve is still horizontal.
In this
case, we analyse what will happen when G
increases from initial equilibrium position.
- IS curve
shifts outwards from IS1 to IS2 we move from A to B
- Y increases and R increases.now R > RF+
eand the supply of foreign currency increases. (Foreigners will want to
buy our currency and invest in our country.
- Since we have flexible exchange rates central
bank will not intervene and the domestic currency will appreciare.
- When domestic currency appreciates exports will
fall and imports will increase. This will shift IS curve back to its
original position IS1 The exchange rate continue to appreciate
as long as R > RF+ e and trade balance continue to deteriorate
until R is again equal to RF+
e and IS2 is back to IS1.
- Fiscal policy has no effect under flexible
exchange rates according to the MF model. However monetary policy works
better.
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