Business Cycles in. Mundell Fleming with Fixed Exchange Rates. Andrew Rose, Global Macroeconomics 10

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Business Cycles in the Open Economy Mundell Fleming with Fixed Exchange Rates 1

Three Important Assumptions Prices are Sticky Business Cycle Model, Short Run Capital is Internationally Mobile No Substantial Barriers to Private Capital Flows Rich countries, some emerging markets (but only recently) Nominal lexchange Rates fixed by Central lbank Some economies, though more have fixed in past 2

Add Net Exports to Real Economy (IS) Recall that net exports (NX X M; current account) determined by: 1. Domestic output Y, raises imports (M) 2. Foreign output Y* (assumed to beexogenous, since foreign), raises exports (X) 3. Real exchange rate ( ep/p*), competitiveness affects both X and M 3

Add Net Exports to Real Economy (IS) Thus IS now: Y = A(G,i,Y) + NX(,Y,Y*) A is domestic absorption 4

Financial Equilibrium (LM): What is a Fixed Exchange Rate? Nominal exchange rate fixed, so real exchange rate ( =ep/p*) fixed in short run Fixed Exchange Rate Regime authorities take either side of FX transaction in unlimited quantity 5

Fixed Exchange Rate Regime The Authorities : Government chooses to fix exchange rate (or not); Central Bank enacts policy Fix: Authorities promise to use international reserves to take either side of any FX transaction in any size at fixed exchange rate (or within bands) Hence fix may affect IR, HPM, thus money supply 6

Financial Equilibrium LM looks same but not under complete control of Central Bank Recall M=μ*HPM; HPM=(IR+CBC); IR used to fix exchange rate 7

Balance of Payments (BoP) Recall: c/acc + k/acc + ORS = 0 Current Account given by net exports (NX) Capital Account private capital flows ORS authorities must keep exchange rate fixed Credible Fix is epectedto expected to remain fixed Can loosen assumption, allow imperfect credibility 8

Capital Mobility 1 Assume capital can flow freely without out(serious) restrictions between the small open (home) economy and large ( center or anchor ) neighbor(us/emu) Assume domestic & foreign bonds perfect substitutes, btit t identical in liquidity, idit maturity, taxes, risk Can also easily add country risk premium Also assume nominal exchange rate is fixed and expected to stay fixed ( credible fix ) 9

Capital Mobility 2 Conclude: perfect capital mobility implies supply and demand curves infinitely elastic at i=i* If i>i* capital flows in quickly and massively (capital account surplus since we sell bonds to foreigners) 10

Summary: Mundell Fleming Model Real economy (IS) Looks same as before, but NX added (foreign income and real exchange rate fixed) Financial markets (LM) Looks same as before, though now money is endogenous (international reserves used to defend exchange rate, affect money supply) Bl Balance of Payments (BoP) New: horizontal because of capital mobility: i=i* 11

Formally IS: Y = A(GiY) A(G,i,Y) + NX(,Y,Y*) YY*) where A= {1/(1 c(1 t))}*[c 0 + ctr + I 0 bi + G 0 ], 0 0 0 and,y* exogenous LM: M s /P = L(i, Y) where M s = HPM = (IR + CBC) BoP: c/acc + k/acc + ORS = 0 12

Graphically i LM i* BoP A IS Y* Y 13

Monetary Policy (LM) Shock Expansionary Open Market Opera on (CBC ) Leads to i, capital ou lows, interven on i LM LM' A i* BoP B IS Y 14

Enduring Effect Note that t central lbank can only change composition of high powered money since it defends fixed exchange rate (IR ) to offset capital outflow (HPM and M s unchanged) 15

Key Concept: Mundell s Incompatible/Holy l Trinity The following are individually desirable but mutually incompatible: 1. Independent national monetarypolicy ( Monetary Sovereignty ) 2. Perfect capital mobility 3. Fixed/stable exchange rates Different countries make different sacrifices and choices also change over time 16

Fiscal Policy G (debt financed) leads to capital inflows, IR, HPM, M s and Y i IS' B LM i* BoP IS A C LM' Y 17

Enduring Effect Highly potent t( (no crowding out since interest rates given from abroad) Changes composi on of output (G, NX ) Can explain twin deficits of government, c/acc 18

Foreign (Interest Rate) Shock Foreign (large country) interest rate rise (i* ) BoP schedule shifts up B LM LM A IS 19

Foreign Shocks, Continued Role in crises/regime switch Mexico 1994, EMS 1992 Decline in Northern rates 2001, 2007 8 Sterilization of reserve flows: offsetting change in internationalreserves reserves with equal and opposite change in central bank credit As IR falls, CBC rises 1:1 HPM unchanged Only possible temporarily 20

Notes Can generalize (im ) potency of monetary/fiscal shocks to all financial/real shocks Can allow for imperfect capital mobility with upwards sloping BoP (must raise interest rates above foreign to attract inflows) One way to model dl a large country 21

Key Takeaways Credible fixes constrain monetary policy Real shocks have large effects during fixes Mundell strilemma: dll tradeoffs between open capital markets, stable exchange rates, and monetary sovereignty 22