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EC4006
THE MUNDELL-FLEMING   Stephen
                      Kinsella
MODEL
TODAY


    the Mundell-Fleming model
•
    (IS-LM for the small open economy)

    causes and effects of interest rate differentials
•

    arguments for fixed vs. floating exchange rates
•
THE MUNDELL-FLEMING
              MODEL
    Key assumption:
•
    Small open economy with perfect capital mobility.


 
 r = r*

    Goods market equilibrium – the IS* curve:
•
     where
     e = nominal exchange rate
       = foreign currency per unit domestic currency
THE IS* CURVE: GOODS MARKET EQ’M



                                      e
The IS* curve is drawn for a
given value of r*.

Intuition for the slope:


Remember, the IS curve incorporates
                                          IS*
      the multiplier effect.
                                                Y
THE LM* CURVE: MONEY MARKET EQ’M


The LM* curve
                         e      LM*
 is drawn for a given
  value of r*.

 is vertical because:
  given r*, there is
  only one value of Y
                                        Y
  that equates money
  demand with supply,
  regardless of e.
EQUILIBRIUM IN THE MUNDELL-FLEMING MODEL



                             e   LM*


          equilibrium
           exchange
             rate

                                       IS*
               equilibrium                   Y
                 level of
                 income
FLOATING & FIXED
                    EXCHANGE RATES
    In a system of floating exchange rates,
•
    e is allowed to fluctuate in response to changing economic
    conditions.

    In contrast, under fixed exchange rates,
•
    the central bank trades domestic for foreign currency at a
    predetermined price.

    Next, policy analysis –
•

        first, in a floating exchange rate system
    •

        then, in a fixed exchange rate system
    •
LESSONS ABOUT FISCAL
                 POLICY
    In a small open economy with perfect capital mobility, fiscal policy
•
    cannot affect real GDP.

    “Crowding out”
•

        closed economy:
    •
        Fiscal policy crowds out investment by causing the interest rate to
        rise.

        small open economy:
    •
        Fiscal policy crowds out net exports by causing the exchange rate
        to appreciate.
MONETARY POLICY UNDER FLOATING
             EXCHANGE RATES


                              e
An increase in M
shifts LM* right
because Y must rise
                         e1
to restore eq’m in
                         e2
the money market.

                                          Y
                                  Y1 Y2
          Results:
             Δe < 0, ΔY > 0
 Monetary policy affects output by affecting
  the components of aggregate demand:

      closed economy: ↑M ⇒ ↓r ⇒ ↑I ⇒ ↑Y

   small open economy: ↑M ⇒ ↓e ⇒ ↑NX ⇒ ↑Y

 Expansionary mon. policy does not raise world agg.
  demand, it merely shifts demand from foreign to
  domestic products.


 So, the increases in domestic income and employment
  are at the expense of losses abroad.
TRADE POLICY UNDER FLOATING
                   EXCHANGE RATES


                                e

                               e2
At any given value of e,
                               e1
a tariff or quota reduces
imports, increases NX,
and shifts IS* to the right.
                                           Y
                                    Y1
    NX does not change! Why?
     Results:
           Δe > 0, ΔY = 0
LESSONS ABOUT TRADE
                POLICY

    Import restrictions cannot reduce a trade deficit.
•

    Even though NX is unchanged, there is less trade:
•

        the trade restriction reduces imports.
    •

        the exchange rate appreciation reduces exports.
    •

    Less trade means fewer “gains from trade.”
•
FIXED EXCHANGE RATES
    Under fixed exchange rates, the central bank stands ready
•
    to buy or sell the domestic currency for foreign currency
    at a predetermined rate.

    In the Mundell-Fleming model, the central bank shifts the
•
    LM* curve as required to keep e at its preannounced
    rate.

    This system fixes the nominal exchange rate.
•
    In the long run, when prices are flexible,
    the real exchange rate can move even if the nominal rate
    is fixed.
FISCAL POLICYUnder floating rates,
                      UNDER FIXED EXCHANGE
                        RATES
                    fiscal policy is ineffective
                          at changing output.
Under floating rates,
                          Under fixed rates,
a fiscal expansion
                                  e
                          fiscal policy is very
would raise e.
                          effective at changing
To keep e from rising,
                          output.
the central bank must
sell domestic currency,        e1
which increases M
and shifts LM* right.
                                                   Y
Results:
                                           Y1 Y2
   Δe = 0, ΔY > 0
MONETARY POLICY UNDER FIXED
                EXCHANGE RATES
  Under floating rates,
  monetary policy is
  very effective at changing    e
An increase in M would
  output.
shift LM* right and reduce e.
ToUnder fixed rates, e,
    prevent the fall in
  monetary policy cannot
the central bank must buy     e1
  be used to affect output.
domestic currency, which
reduces M and shifts LM*
back left.                               Y
                                    Y1
 Results:
     Δe = 0, ΔY = 0
SUMMARY OF POLICY EFFECTS IN THE MUNDELL-
            FLEMING MODEL
                         type of exchange rate regime:

                             floating                fixed
                                       impact on:

         Policy          Y     e       NX     Y      e     NX

     fiscal expansion     0                           0     0
                               ↑        ↓     ↑

     mon. expansion                           0      0     0
                         ↑     ↓        ↑

    import restriction   0              0            0
                               ↑              ↑            ↑
FLOATING VS. FIXED EXCHANGE RATES

Argument for floating rates:

  allows monetary policy to be used to pursue other goals (stable
   growth, low inflation).

Arguments for fixed rates:

  avoids uncertainty and volatility, making international transactions
   easier.

  disciplines monetary policy to prevent excessive money growth &
   hyperinflation.
THE IMPOSSIBLE TRINITY
                                   Free capital
A nation cannot have free             flows
capital flows, independent
monetary policy, and a fixed Option 1                Option 2
exchange rate simultaneously. (U.S.)              (Hong Kong)

A nation must choose
one side of this
triangle and                                        Fixed
                   Independent
                                       Option 3
give up the                                       exchange
                     monetary
                                       (China)
opposite                                             rate
                      policy
corner.
INTEREST-RATE
                DIFFERENTIALS
Two reasons why r may differ from r*

  country risk: The risk that the country’s borrowers will
   default on their loan repayments because of political or
   economic turmoil.

 
 Lenders require a higher interest rate to compensate
   them for this risk.

  expected exchange rate changes: If a country’s
   exchange rate is expected to fall, then its borrowers must
   pay a higher interest rate to compensate lenders for the
   expected currency depreciation.
EXPECTED CHANGE IN
           EXCHANGE RATES

    When a foreigner buys a domestic bond, they really earn more than
•
    just r, the interest rate.

    They are holding a euro asset. Foreigners gain if the euro itself gains
•
    value relative to the foreign currency.

    The expected appreciation of the euro:
•
INTEREST PARITY
    The total expected return for a foreigner is
•




    “Interest parity” says that the return on the home country’s bonds
•
    equal the foreign interest rate:
INTEREST RATES AND
                 EXCHANGE RATES
    We can rewrite the interest parity equation to get a relationship that
•
    says the exchange rate is determined by home and foreign interest
    rates, and the expected future exchange rate:



    Home currency is stronger if:
•

        Home interest rate, r, rises
    •

        Foreign interest rate, r*, falls
    •

        Expected exchange rate increases
    •
SUMMARY

    When we allow for expected changes in the value of the currency
•
    and use interest parity, the model is like the closed economy IS-LM.

    The IS curve is flatter because a drop in the interest rate also causes
•
    e to fall, which stimulates net exports.

    The expected exchange rate, ee, and the foreign interest rate, r*, can
•
    affect the IS curve.

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Intermediate Macroeconomics Mundell Fleming

  • 1. EC4006 THE MUNDELL-FLEMING Stephen Kinsella MODEL
  • 2. TODAY the Mundell-Fleming model • (IS-LM for the small open economy) causes and effects of interest rate differentials • arguments for fixed vs. floating exchange rates •
  • 3. THE MUNDELL-FLEMING MODEL Key assumption: • Small open economy with perfect capital mobility. r = r* Goods market equilibrium – the IS* curve: • where e = nominal exchange rate = foreign currency per unit domestic currency
  • 4. THE IS* CURVE: GOODS MARKET EQ’M e The IS* curve is drawn for a given value of r*. Intuition for the slope: Remember, the IS curve incorporates IS* the multiplier effect. Y
  • 5. THE LM* CURVE: MONEY MARKET EQ’M The LM* curve e LM*  is drawn for a given value of r*.  is vertical because: given r*, there is only one value of Y Y that equates money demand with supply, regardless of e.
  • 6. EQUILIBRIUM IN THE MUNDELL-FLEMING MODEL e LM* equilibrium exchange rate IS* equilibrium Y level of income
  • 7. FLOATING & FIXED EXCHANGE RATES In a system of floating exchange rates, • e is allowed to fluctuate in response to changing economic conditions. In contrast, under fixed exchange rates, • the central bank trades domestic for foreign currency at a predetermined price. Next, policy analysis – • first, in a floating exchange rate system • then, in a fixed exchange rate system •
  • 8. LESSONS ABOUT FISCAL POLICY In a small open economy with perfect capital mobility, fiscal policy • cannot affect real GDP. “Crowding out” • closed economy: • Fiscal policy crowds out investment by causing the interest rate to rise. small open economy: • Fiscal policy crowds out net exports by causing the exchange rate to appreciate.
  • 9. MONETARY POLICY UNDER FLOATING EXCHANGE RATES e An increase in M shifts LM* right because Y must rise e1 to restore eq’m in e2 the money market. Y Y1 Y2 Results: Δe < 0, ΔY > 0
  • 10.  Monetary policy affects output by affecting the components of aggregate demand: closed economy: ↑M ⇒ ↓r ⇒ ↑I ⇒ ↑Y small open economy: ↑M ⇒ ↓e ⇒ ↑NX ⇒ ↑Y  Expansionary mon. policy does not raise world agg. demand, it merely shifts demand from foreign to domestic products. So, the increases in domestic income and employment are at the expense of losses abroad.
  • 11. TRADE POLICY UNDER FLOATING EXCHANGE RATES e e2 At any given value of e, e1 a tariff or quota reduces imports, increases NX, and shifts IS* to the right. Y Y1 NX does not change! Why? Results: Δe > 0, ΔY = 0
  • 12. LESSONS ABOUT TRADE POLICY Import restrictions cannot reduce a trade deficit. • Even though NX is unchanged, there is less trade: • the trade restriction reduces imports. • the exchange rate appreciation reduces exports. • Less trade means fewer “gains from trade.” •
  • 13. FIXED EXCHANGE RATES Under fixed exchange rates, the central bank stands ready • to buy or sell the domestic currency for foreign currency at a predetermined rate. In the Mundell-Fleming model, the central bank shifts the • LM* curve as required to keep e at its preannounced rate. This system fixes the nominal exchange rate. • In the long run, when prices are flexible, the real exchange rate can move even if the nominal rate is fixed.
  • 14. FISCAL POLICYUnder floating rates, UNDER FIXED EXCHANGE RATES fiscal policy is ineffective at changing output. Under floating rates, Under fixed rates, a fiscal expansion e fiscal policy is very would raise e. effective at changing To keep e from rising, output. the central bank must sell domestic currency, e1 which increases M and shifts LM* right. Y Results: Y1 Y2 Δe = 0, ΔY > 0
  • 15. MONETARY POLICY UNDER FIXED EXCHANGE RATES Under floating rates, monetary policy is very effective at changing e An increase in M would output. shift LM* right and reduce e. ToUnder fixed rates, e, prevent the fall in monetary policy cannot the central bank must buy e1 be used to affect output. domestic currency, which reduces M and shifts LM* back left. Y Y1 Results: Δe = 0, ΔY = 0
  • 16. SUMMARY OF POLICY EFFECTS IN THE MUNDELL- FLEMING MODEL type of exchange rate regime: floating fixed impact on: Policy Y e NX Y e NX fiscal expansion 0 0 0 ↑ ↓ ↑ mon. expansion 0 0 0 ↑ ↓ ↑ import restriction 0 0 0 ↑ ↑ ↑
  • 17. FLOATING VS. FIXED EXCHANGE RATES Argument for floating rates:  allows monetary policy to be used to pursue other goals (stable growth, low inflation). Arguments for fixed rates:  avoids uncertainty and volatility, making international transactions easier.  disciplines monetary policy to prevent excessive money growth & hyperinflation.
  • 18. THE IMPOSSIBLE TRINITY Free capital A nation cannot have free flows capital flows, independent monetary policy, and a fixed Option 1 Option 2 exchange rate simultaneously. (U.S.) (Hong Kong) A nation must choose one side of this triangle and Fixed Independent Option 3 give up the exchange monetary (China) opposite rate policy corner.
  • 19. INTEREST-RATE DIFFERENTIALS Two reasons why r may differ from r*  country risk: The risk that the country’s borrowers will default on their loan repayments because of political or economic turmoil. Lenders require a higher interest rate to compensate them for this risk.  expected exchange rate changes: If a country’s exchange rate is expected to fall, then its borrowers must pay a higher interest rate to compensate lenders for the expected currency depreciation.
  • 20. EXPECTED CHANGE IN EXCHANGE RATES When a foreigner buys a domestic bond, they really earn more than • just r, the interest rate. They are holding a euro asset. Foreigners gain if the euro itself gains • value relative to the foreign currency. The expected appreciation of the euro: •
  • 21. INTEREST PARITY The total expected return for a foreigner is • “Interest parity” says that the return on the home country’s bonds • equal the foreign interest rate:
  • 22. INTEREST RATES AND EXCHANGE RATES We can rewrite the interest parity equation to get a relationship that • says the exchange rate is determined by home and foreign interest rates, and the expected future exchange rate: Home currency is stronger if: • Home interest rate, r, rises • Foreign interest rate, r*, falls • Expected exchange rate increases •
  • 23. SUMMARY When we allow for expected changes in the value of the currency • and use interest parity, the model is like the closed economy IS-LM. The IS curve is flatter because a drop in the interest rate also causes • e to fall, which stimulates net exports. The expected exchange rate, ee, and the foreign interest rate, r*, can • affect the IS curve.