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Working Paper
Interest rate versus money supply instruments: on the implementation of Markov-perfect optimal monetary policy
Currently there is a growing literature exploring the features of optimal monetary policy in New Keynesian models under both commitment and discretion. With respect to time consistent policy, the literature focuses on solving for allocations. Recently, however, King and Wolman (2004) have examined implementation issues involved under time consistent policy when the monetary authority chooses nominal money balances. Surprisingly, they find that equilibria are no longer unique under a money stock regime. Indeed, there exist multiple steady states. Dotsey and Hornstein find that King and ...
Working Paper
Examining macroeconomic models through the lens of asset pricing
Dynamic stochastic equilibrium models of the macro economy are designed to match the macro time series including impulse response functions. Since these models aim to be structural, they also have implications for asset pricing. To assess these implications, we explore asset pricing counterparts to impulse response functions. We use the resulting dynamic value decomposition (DVD) methods to quantify the exposures of macroeconomic cash flows to shocks over alternative investment horizons and the corresponding prices or compensations that investors must receive because of the exposure to such ...
Working Paper
Analysis of numerical errors
This paper provides a general framework for the quantitative analysis of stochastic dynamic models. We review convergence properties of some numerical algorithms and available methods to bound approximation errors. We then address convergence and accuracy properties of the simulated moments. Our purpose is to provide an asymptotic theory for the computation, simulation-based estimation, and testing of dynamic economies. The theoretical analysis is complemented with several illustrative examples. We study both optimal and non-optimal economies. Optimal economies generate smooth laws of motion ...
Working Paper
Discretion Rather than Rules: Equilibrium Uniqueness and Forward Guidance with Inconsistent Optimal Plans
New Keynesian economies with active interest rate rules gain equilibrium determinacy from the central bank?s incredible off-equilibrium-path promises (Cochrane, 2011). We suppose instead that the central bank sets interest rate paths and occasionally has the discretion to change them. Private agents taking future central bank actions and their own best responses to them as given reduces the scope for self-fulfilling prophecies. With empirically-reasonable frequencies of central-bank reoptimization, the monetary-policy game has a unique Markov-perfect equilibrium wherein forward guidance ...
Working Paper
Simple Markov-perfect industry dynamics
This paper develops a tractable model for the computational and empirical analysis of infinite-horizon oligopoly dynamics. It features aggregate demand uncertainty, sunk entry costs, stochastic idiosyncratic technological progress, and irreversible exit. We develop an algorithm for computing a symmetric Markov-perfect equilibrium quickly by finding the fixed points to a finite sequence of low-dimensional contraction mappings. If at most two heterogenous firms serve the industry, the result is the unique "natural" equilibrium in which a high profitability firm never exits leaving behind a ...
Report
What drives housing prices?
This paper develops a growth model with land, housing services, and other goods that is capable of explaining a substantial portion of the movements in housing prices over the past forty years. Under certainty, the model exhibits a balanced aggregate growth, but with underlying sectoral change. The paper introduces a Markov regime-switching specification for productivity growth in the nonhousing sector and shows that such regime switches are a plausible candidate for explaining - both qualitatively and quantitatively - the large low-frequency changes in housing price trends. In particular, ...
Working Paper
Commodity money with frequent search
A prominent feature of the Kiyotaki and Wright (1989) model of commodity money is the multiplicity of dynamic equilibria. We show that the frequency of search is strongly related to the extent of multiplicity. To isolate the role of frequency of search in generating multiplicity, we (i) vary the frequency of search without changing the frequency of finding a trading partner and (ii) focus on symmetric dynamic equilibria, a class for which we can sharply characterize several features of the set of equilibria. For any finite frequency of search this class retains much of the multiplicity. For ...
Working Paper
Business cycles and financial crises: the roles of credit supply and demand shocks
This paper explores the hypothesis that the sources of economic and financial crises differ from non-crisis business cycle fluctuations. We employ Markov-switching Bayesian vector autoregressions (MS-BVARs) to gather evidence about the hypothesis on a long annual U.S. sample running from 1890 to 2010. The sample covers several episodes useful for understanding U.S. economic and financial history, which generate variation in the data that aids in identifying credit supply and demand shocks. We identify these shocks within MS-BVARs by tying credit supply and demand movements to inside money and ...
Working Paper
On the implementation of Markov-perfect interest rate and money supply rules: global and local uniqueness
Currently there is a growing literature exploring the features of optimal monetary policy in New Keynesian models under both commitment and discretion. This literature usually solves for the optimal allocations that are consistent with a rational expectations market equilibrium, but it does not study how the policy can be implemented given the available policy instruments. Recently, however, King and Wolman (2004) have shown that a time-consistent policy cannot be implemented through the control of nominal money balances. In particular, they find that equilibria are not unique under a money ...
Working Paper
Forecasting recessions using stall speeds
This paper presents evidence that the economic stall speed concept has some empirical content, and can be moderately useful in forecasting recessions. Specifically, output tends to transition to a slow-growth phase at the end of expansions before falling into a recession, and the paper designs Markov-switching models that behave in that way. While the switching models using output growth alone produce a considerable number of false positive recession signals, adding the slope of the yield curve, the percent change in housing starts, and the change in the unemployment rate to the model reduces ...