Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies

In applied work in macroeconomics and finance, nonoptimal infinite horizon economies are often studied in the the state space is unbounded. Important examples of such economies are single vector growth models with production externalities, valued fiat money, monopolistic competition, and/or distortionary government taxation. Although sufficient conditions for existence and uniqueness of Markovian equilibrium are well known for the compact state space case, no similar sufficient conditions exist for unbounded growth. This paper provides such a set of sufficient conditions, and also present a computational algorithm that will prove asymptotically consistent when computing Markovian equilibrium.

Endogenous Financing and the Long Run Impact of Money Growth on Output and Prices

Most monetary models make use of the quantity theory of money along with a Phillips curve. This implies a strong correlation between money growth and output in the short run (with little or no correlation between money and prices) and a strong long run correlation between money growth and inflation and inflation (with little or no correlation between money growth and output). The empirical evidence between money and inflation is very robust, but the long run money/output relationship is ambiguous at best. This paper attempts to explain this by looking at the impact of money growth on firm financing.

Monetary Policy, Exchange Rate Overshooting, and Endogenous Physical Capital

We develop an open economy macroeconomic model with real capital accumulation and microeconomic foundations. We show that expansionary monetary policy causes exchange rate overshooting, not once, but potentially twice; the secondary repercussion comes through the reaction of firms to changed asset prices and the firms' decisions to invest in real capital. The model sheds further light on the volatility of real and nominal exchange rates, and it suggests that changes in corporate sector profitability may affect exchange rates through international portfolio diversification in corporate securities.

Equity Markets, the Money Market, and Long-Run Monetary Neutrality

This paper outlines a process for teaching long-run neutrality of money, drawing an analogy between equity markets and the money market. The key points in the discussion include the following: (1) What is the price of money? (2) Why does the long-run demand for money trace out a rectangular hyperbola? (3) Why does the slow adjustment of goods and service prices to changes in the stock of money lead to a different short-run demand for money? and (4) Why does a successful currency reform generate similar short-run movements in the price of money as movements in equity share prices after a change in the supply of shares? I have used this approach successfully for over 30 years at all levels, wherever I need to discuss the money market in a macroeconomic model.

Total Factor Productivity and Monetary Policy: Evidence from Conditional Volatility

This paper empirically assesses whether monetary policy affects real economic activity through its affect on the aggregate supply side of the macroeconomy. Analysts typically argue that monetary policy either does not affect the real economy, the classical dichotomy, or only affects the real economy in the short run through aggregate demand new Keynesian or new classical theories. Real business cycle theorists try to explain the business cycle with supply-side productivity shocks. We provide some preliminary evidence about how monetary policy affects the aggregate supply side of the macroeconomy through its affect on total factor productivity, an important measure of supply-side performance. The results show that monetary policy exerts a positive and statistically significant effect on the supply-side of the macroeconomy. Moreover, the findings buttress the importance of countercyclical monetary policy as well as support the adoption of an optimal money supply rule. Our results also prove consistent with the effective role of monetary policy in the Great Moderation as well as the more recent rise in productivity growth.

Monetary and Exchange Rate Policy in Multisectorial Economies

We develop a two-sector economy where each sector is classified as classical/Keynesian (contract/noncontract) in the labor market and traded/nontraded in the product market. We consider the effects of changes in monetary and exchange rate policy on sectoral and aggregate prices and outputs for different sectoral characterizations. Duca (1987) shows that nominal wage rigidity facilitates the effectiveness of monetary policy even in the classical sector. We demonstrate that trade price rigidity provides a similar path for the effectiveness of monetary policy, in this case, even when both sectors are classical.

Monetary Policy Delegation, Contract Costs, and Contract Targets

We reconsider the optimal central banker contract derived in Walsh (1995). We show that if the government's objective function places weight (value) on the cost of the contract, then the optimal inflation contract does not completely neutralize the inflation bias. That is, a fraction of the inflation bias emerges in the resulting inflation rate after the central banker's monetary policy decision. Furthermore, the more concerned the government is about the cost of the contract or the less selfish (more benevolent) is the central banker, the smaller is the share of the inflation bias eliminated by the contract. No matter how concerned the government is about the cost of the contract or how unselfish (benevolent) the central banker is, the contract always reduces the inflationary bias by at least half. Finally, a central banker contract written in terms of output (i.e., incorporating an output target) can completely eradicate the inflationary bias, regardless of concerns about contract costs.

The Making of Optimal and Consistent Policy: An Analytical Framework for Monetary Models

This paper shows that optimal policy and consistent policy outcomes require the use of control-theory and game-theory solution techniques. While optimal policy and consistent policy often produce different outcomes even in a one-period model, we analyze consistent policy and its outcome in a simple model, finding that the cause of the inconsistency with optimal policy traces to inconsistent targets in the social loss function. As a result, the central bank should adopt a loss function that differs from the social loss function. Carefully designing the central bank s loss function with consistent targets can harmonize optimal and consistent policy. This desirable result emerges from two observations. First, the social loss function reflects a normative process that does not necessarily prove consistent with the structure of the microeconomy. Thus, the social loss function cannot serve as a direct loss function for the central bank. Second, an optimal loss function for the central bank must depend on the structure of that microeconomy. In addition, this paper shows that control theory provides a benchmark for institution design in a game-theoretical framework.

The Making of Optimal and Consistent Policy: An Implementation Theory Framework for Monetary Policy

This paper shows that optimal policy and consistent policy outcomes require the use of control-theory and game-theory solution techniques. While optimal policy and consistent policy often produce different outcomes even in a one-period model, we analyze consistent policy and its outcome in a simple model, finding that the cause of the inconsistency with optimal policy traces to inconsistent targets in the social loss function. As a result, the social loss function cannot serve as a direct loss function for the central bank. Accordingly, we employ implementation theory to design a central bank loss function (mechanism design) with consistent targets, while the social loss function serves as a social welfare criterion. That is, with the correct mechanism design for the central bank loss function, optimal policy and consistent policy become identical. In other words, optimal policy proves implementable (consistent).

Consistent Targets and Optimal Monetary Policy: A Note

Kydland and Prescott (1977) develop a simple model of monetary policy making, where the central bank needs some commitment technique to achieve optimal monetary policy over time. Although not their main focus, they illustrate the difference between consistent and optimal policy in a sequential-decision one-period world. We employ the analytical method developed in Yuan and Miller (2005), whereby the government appoints a central bank with consistent targets or delegates consistent targets to the central bank. Thus, the central bank s welfare function differs from the social welfare function, which cause consistent policy to prove optimal.

An Assessment of the Case for Monetary Union or Official Dollarization in Argentina, Brazil, Chile, Uruguay and Venezuela

We use a data set covering the whole period of Argentina's currency board and most of that spanned by the Mercosur trade agreement to examine the case for either a Latin American monetary union or monetary union with the USA (through official dollarization). Our econometric evidence using VAR techniques indicates that macroeconomic shocks are still so highly asymmetric in Latin America and between Latin American countries and the USA as to make monetary union or official dollarization somewhat doubtful policies.

The Geographic Distribution of the Size and Timing of Monetary Policy Actions

This paper examines the magnitude and timing of the effects of changes in the monetary base on the aggregate and regional changes in bank loans within the United States. We consider both Bureau of Economic Analysis (BEA) regions, and individual states and the District of Columbia for our regional analysis. The empirical analysis provides some insight on the bank-lending channel of monetary policy. We find strong evidence of a 4-quarter lag in the effect of changes in the monetary base on bank loans. That finding proves robust across all regions and nearly all states.

Expectations, and Credibility in a Model of Monetary Policy

Recent monetary history has been characterized by monetary authorities which have been, alternatively hard and soft on inflation. In a vintage capital framework, investment decisions are not easily reversed. Therefore, expectations of policy as well as current policy are important to the investment decision. Here, a vintage capital model is used to assess the value of central bank credibility for a policy change. Policy in this model is assumed to be private information of the central banker. Agents learn about that policy which to study the ensuing transitional dynamics following a change in monetary policy regime.

"Ripple Effects" and Forecasting Home Prices in Los Angeles, Las Vegas, and Phoenix

We examine the time-series relationship between housing prices in Los Angeles, Las Vegas, and Phoenix. First, temporal Granger causality tests reveal that Los Angeles housing prices cause housing prices in Las Vegas (directly) and Phoenix (indirectly). In addition, Las Vegas housing prices cause housing prices in Phoenix. Los Angeles housing prices prove exogenous in a temporal sense and Phoenix housing prices do not cause prices in the other two markets. Second, we calculate out-of-sample forecasts in each market, using various vector autoregessive (VAR) and vector error-correction (VEC) models, as well as Bayesian, spatial, and causality versions of these models with various priors. Different specifications provide superior forecasts in the different cities. Finally, we consider the ability of theses time-series models to provide accurate out-of-sample predictions of turning points in housing prices that occurred in 2006:Q4. Recursive forecasts, where the sample is updated each quarter, provide reasonably good forecasts of turning points.

Monetary Policy in a Portfolio Balance Model with Endogenous Physical Capital

We develop a portfolio balance model with real capital accumulation. The introduction of real capital as an asset as well as a good produced and demanded by firms enriches extant portfolio balance models of exchange rate determination. We show that expansionary monetary policy causes exchange rate overshooting, not once, but twice; the secondary repercussion comes through the reaction of firms to changed asset prices and the firms' decisions to invest in real capital. The model sheds further light on the volatility of real and nominal exchange rates, and it suggests that changes in corporate sector profitability may affect exchange rates through portfolio diversification in corporate securities.