Creator: King, Robert G. (Robert Graham), Wallace, Neil., and Weber, Warren E. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 307 Abstract:
This paper shows that there can be equilibria in which exchange rates display randomness unrelated to fundamentals. This is demonstrated in the context of a two currency, one good model, with three agent types and cash-in-advance constraints. A crucial feature is that the type i agents, for i=l, 2, must satisfy a cash—in-advance constraint by holding currency i, while type 3 agents can satisfy it by holding either currency. It is shown that real allocations vary across the multiple equilibria if markets for hedging exchange risk do not exist and that the randomness is innocuous if complete markets exist.
Keyword: Foreign exchange rates, Macroeconomics, and Currencies Subject (JEL): E00 - Macroeconomics and monetary economics - General - General and F31 - International finance - Foreign exchange
Creator: Kiyotaki, Nobuhiro., Matsui, Akihiko., and Matsuyama, Kiminori. Series: Monetary theory and financial intermediation Abstract:
Our goal is to provide a theoretical framework in which both positive and normative aspects of international currency can be addressed in a systematic way. To this end, we use the framework of random matching games and develop a two country model of the world economy, in which two national fiat currencies compete and may be circulated as media of exchange. There are multiple equilibria, which differ in the areas of circulation of the two currencies. In one equilibrium, the two national currencies are circulated only locally. In another, one of the national currencies is circulated as an international currency. There is also an equilibrium in which both currencies are accepted internationally. We also find an equilibrium in which the two currencies are directly exchanged. The existence conditions of these equilibria are characterized, using the relative country size and the degree of economic integration as the key parameters. In order to generate sharper predictions in the presence of multiple equilibria, we discuss an evolutionary approach to equilibrium selection, which is used to explain the evolution of the international currency as the two economies become more integrated. Some welfare implications are also discussed. For example, a country can improve its national welfare by letting its own currency circulated internationally, provided the domestic circulation is controlled for. When the total supply is fixed, however, a resulting currency shortage may reduce the national welfare.
Keyword: Best response dynamics, Random matching games, Money as a medium of exchange, Evolution of international currency, and Multiple currencies Subject (JEL): F31 - International finance - Foreign exchange, C78 - Bargaining Theory; Matching Theory, E42 - Money and interest rates - Monetary systems ; Standards ; Regimes ; Government and the monetary system ; Payment systems, and D51 - General equilibrium and disequilibrium - Exchange and production economies
Creator: Gintis, Herbert. Series: Monetary theory and financial intermediation Abstract:
This paper develops the Kiyotaki-Wright model of monetary general equilibrium in which trade is bilateral and enforced by requiring that transactions be quid pro quo, and studies which goods are chosen, and under what conditions, as media of exchange. We prove the existence of a rational expectations equilibrium in which agents' expectations concerning trading opportunities are realized in the present and all future periods. We also show that, exceptional cases aside, no rational expectations barter equilibrium exists; that an equilibrium generally supports multiple money goods; and that a fiat money (i.e., a good that is produced, has minimum storage costs, but is not consumed) cannot be traded in rational expectations equilibrium.
Subject (JEL): C62 - Mathematical methods and programming - Existence and stability conditions of equilibrium and D51 - General equilibrium and disequilibrium - Exchange and production economies
Creator: Kehoe, Timothy Jerome, 1953-, Kiyotaki, Nobuhiro., and Wright, Randall. Series: Monetary theory and financial intermediation Abstract:
We extend the analysis of Kiyotaki and Wright, who study an economy in which the different commodities that serve as media of exchange are determined endogenously. Kiyotaki and Wright consider only symmetric, steady-state, pure-strategy equilibria, and find that for some parameter values no such equilibria exist. We consider mixed-strategy equilibria and dynamic equilibria. We prove that a steady-state equilibrium exists for all parameter values and that the number of steady-state equilibria is generically finite. We also show, however, that there may be a continuum of dynamic equilibria. Further, some dynamic equilibria display cycles.
Subject (JEL): D51 - General equilibrium and disequilibrium - Exchange and production economies and E40 - Money and interest rates - General
Creator: Miller, Preston J. and Todd, Richard M. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 481 Abstract:
This paper investigates the effects of changes in a country's monetary policies on its economy and the welfare of its citizens and those of other countries. Each country is populated by two-period lived overlapping agents who reside in either a home service sector or a world-traded good sector. Policy effects are transmitted through changes in the real interest rate, relative prices, and price levels. Welfare effects are sometimes dominated by relative price movements and can thus be opposite of those found in one-good models. Simulation of dynamic paths also reveals that welfare effects for some types of agents reverse between those born in immediate post-shock periods and those born later.
Keyword: Real interest rates, Relative prices, Exchange rates, Prices, and Monetary policy Subject (JEL): E52 - Monetary policy, central banking, and the supply of money and credit - Monetary policy, F31 - International finance - Foreign exchange, and E31 - Prices, business fluctuations, and cycles - Price level ; Inflation ; Deflation
Creator: Backus, David. and Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 348 Abstract:
We derive the empirical implications of a popular class of international macroeconomic models. The real economy is a stochastic exchange model with complete markets. A standard result is that cross-country risk sharing implies perfect correlation between consumption paths across countries. With mild restrictions on the endowment process ii also implies a positive correlation between net exports and output in every country. We introduce money using cash-in-advance constraints and show that the implications for real variables carry over into the monetary economy. These dichotomy and neutrality propositions generalize those in the literature to stochastic environments with heterogeneous agents, and do not require the cash-in-advance constraint to bind in every state. They imply that any correlation between the nominal exchange rate and the balance of trade can be made consistent with the theory.
Keyword: Exchange rates, Monetary policy, Risk-sharing, Cash-in-advance, and Government finance Subject (JEL): D46 - Market structure and pricing - Value theory, E32 - Prices, business fluctuations, and cycles - Business fluctuations ; Cycles, and F30 - International finance - General
Creator: Backus, David. and Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 348 Abstract: Keyword: Government finance, Exchange rates, Risk-sharing, Monetary policy, and Cash-in-advance Subject (JEL): E32 - Prices, business fluctuations, and cycles - Business fluctuations ; Cycles, F30 - International finance - General, and D46 - Market structure and pricing - Value theory
Creator: Bullard, James. and Russell, Steven. Series: Finance, fluctuations, and development Abstract:
We examine the conditions under which steady states with low real interest rates—real rates substantially below the output growth rate—exist in an overlapping generations model with production, capital accumulation, a labor-leisure trade-off, technological progress, and agents who live for many periods. The number of periods in an agent's life (n) is left open for much of the analysis and determines the temporal interpretation of a time period. The qualitative properties of the model are largely invariant to different values of n. We find that two low real interest rate steady states exist for empirically plausible values of the parameters of the model. Outside liabilities such as fiat currency or unbacked government debt are valued in one of these steady states.
Keyword: General equilibrium models, Interest rates, and Debts, Public Subject (JEL): D51 - General equilibrium and disequilibrium - Exchange and production economies and E40 - Money and interest rates - General