Creator: Prescott, Edward C. and Wessel, Ryan Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 562 Abstract:
Businesses hold large quantities of cash reserves, which have average returns well below their investments in tangible capital. Businesses do this because these monetary assets provide services. One implication is that money services is a factor of production in capital theoretic valuation equilibrium models. Our aggregate production function is consistent with both the classical demand for money function relationship and with extended periods of near zero short-term nominal interest rates. In our model economy, there is a 100 percent reserve requirement on all demand deposits. Demand deposits are legal tender. We find (i) money services in the production function necessitates revisions in the national accounts; (ii) monetary and fiscal policy cannot be completely separated; (iii) for a given policy, equilibrium is either unique or does not exist; and (iv) Friedman’s monetary satiation is not optimal. We make quantitative comparisons between interest rate targeting regimes and between inflation rate targeting regimes. The best inflation rate target was 2 percent.
Keyword: Money in production function, Zero lower bound, Friedman monetary satiation, Inflation rate targeting, Interest rate targeting, and 100 percent reserve banking Subject (JEL): E00 - Macroeconomics and Monetary Economics: General, E50 - Monetary Policy, Central Banking, and the Supply of Money and Credit: General, E60 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook: General, and E40 - Money and Interest Rates: General
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: Prescott, Edward C. and Wessel, Ryan Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 530 Abstract:
We explore monetary policy in a world without currency. In our world, money is a form of government debt that bears interest, which can be negative as well as positive. Services of money are a factor of production. We show that the national accounts must be revised in this world. Using our baseline economy, we determine the balanced growth paths for a set of money interest rate target policy regimes. Besides this interest rate, the only policy variable that differs across regimes is either the labor income tax rate or the inflation rate. We find that Friedman monetary satiation without deflation is possible. We also examine a set of inflation rate targeting regimes. Here, the only other policy variable that differs across policy regimes is the tax rate. There is a sequence of markets with outcome in each market being a Debreu valuation equilibrium, which determines the vector of assets and liabilities households take into the subsequent period. Evaluating a policy regime is an advanced exercise in public finance. Monetary satiation is not optimal even though money is costless to produce. A preliminary version of this paper circulated under the title “Monetary Policy with 100 Percent Reserve Banking: An Exploration.”
Keyword: Money in production function, 100 percent reserve banking, Friedman monetary satiation, Inflation rate targeting, and Interest rate targeting Subject (JEL): E00 - Macroeconomics and Monetary Economics: General, E50 - Monetary Policy, Central Banking, and the Supply of Money and Credit: General, E60 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook: General, and E40 - Money and Interest Rates: General
Creator: Katzman, Brett, 1966-, Kennan, John, and Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 595 Abstract:
The effects on ex ante optima of a lag in seeing monetary realizations are studied using a matching model of money. The main new ingredient in the model is meetings in which producers have more information than consumers. A consequence is that increases in the amount of money that occur with small enough probability can have negative impact effects on output, because it is optimal to shut down trade in such low probability meetings rather than have lower output when high probability realizations occur. The information lag also produces prices that do not respond much to current monetary realizations.
Subject (JEL): D82 - Asymmetric and Private Information; Mechanism Design, E40 - Money and Interest Rates: General, and E30 - Prices, Business Fluctuations, and Cycles: General (includes Measurement and Data)
Creator: Bental, Benjamin and Eden, Benjamin Series: Lucas expectations anniversary conference Abstract:
We propose a model in which an unanticipated reduction in the money supply leads to a contemporaneous increase in inventories followed by periods with lower output. This persistent real effect does not require price-rigidity or real shocks and confusion. It is obtained in a model in which markets are cleared and agents are price-takers.
Keyword: Productivity, Money, Supply, and Money supply Subject (JEL): E51 - Monetary policy, central banking, and the supply of money and credit - Money supply ; Credit ; Money multipliers and E22 - Macroeconomics : Consumption, saving, production, employment, and investment - Capital ; Investment ; Capacity
Creator: Christiano, Lawrence J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 415 Abstract:
This article studies the accuracy of two versions of Kydland and Prescott's (1980, 1982) procedure for approximating optimal decision rules in problems in which the objective fails to be quadratic and the constraints fail to be linear. The analysis is carried out using a version of the Brock-Mirman (1972) model of optimal economic growth. Although the model is not linear quadratic, its solution can nevertheless be computed with arbitrary accuracy using a variant of existing value-function iteration procedures. I find the Kydland-Prescott approximate decision rules are very similar to those implied by value-function iteration.
Keyword: Production function, Optimization, Growth model, Markov chain, State space, and Decision rule Subject (JEL): C40 - Econometric and Statistical Methods: Special Topics: General
Creator: Bryant, John B. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 168 Abstract:
A simple model of backed money without a store of value function is presented, discussed, and defended. The function of money in the model is to replace complex contingent contracts traded on a centralized exchange with simple trades in decentralized markets.
Keyword: Fiat money, Commodity money, and Contracts Subject (JEL): C10 - Econometric and Statistical Methods and Methodology: General and E40 - Money and Interest Rates: General
Creator: Zhou, Ruilin Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 222 Abstract:
This paper investigates the characteristics of stationary single-price equilibrium in a monetary random-matching model where agents can hold an arbitrary amount of divisible money and where production is costly. At such an equilibrium, agents’ money holdings are endogenously determined and uniformly bounded. A refinement of weakly undominated strategies is argued to be necessary. It is shown that a continuum of single-price equilibria indexed by the aggregate real-money balance exists if one such equilibrium exists. Equilibria with different money-holdings upper bounds, hence different distributions, but with identical aggregate real-money balances, can coexist.
Subject (JEL): D51 - Exchange and Production Economies and E40 - Money and Interest Rates: General
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: Interest rates, Debts, Public, and General equilibrium models Subject (JEL): E40 - Money and interest rates - General and D51 - General equilibrium and disequilibrium - Exchange and production economies