Optimal Central Banker Contracts and Common Agency

This paper considers the contacting approach to central banking in the context of a simple common agency model. The recent literature on optimal contracts suggests that the political principal of the central bank can design the appropriate incentive schemes that remedy for time-inconsistency problems in monetary policy. The effectiveness of such contracts, however, requires a central banker that attaches a positive weight to the incentive scheme. As a result, delegating monetary policy under such circumstances gives rise to the possibility that the central banker may respond to incentive schemes offered by other potential principals. We introduce common agency considerations in the design of optimal central banker contracts. We introduce two principals - society (government) and an interest group, whose objectives conflict with society's and we examine under what circumstances the government-offered or the interest-group-offered contract dominates. Our results largely depend on the type of bias that the interest group contract incorporates. In particular, when the interest group contract incorporates an inflationary bias the outcome depends on the principals' relative concern of the incentive schemes' costs. When the interest group contract incorporates an expansionary bias, however, it always dominates the government contract. A corollary of our results is that central banker contracts aiming to remove the expansionary bias of policymakers should be written explicitly in terms of the perceived bias.

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 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.

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.

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.

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.

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.

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.

A General Schema for Optimal Monetary Policymaking: Objectives and Rules

This paper examines four equivalent methods of optimal monetary policymaking, committing to the social loss function, using discretion with the central bank long-run and short-run loss functions, and following monetary policy rules. All lead to optimal economic performance. The same performance emerges from these different policymaking methods because the central bank actually follows the same (similar) policy rules. These objectives (the social loss function, the central bank long-run and short-run loss functions) and monetary policy rules imply a complete regime for optimal policy making. The central bank long-run and short-run loss functions that produce the optimal policy with discretion differ from the social loss function. Moreover, the optimal policy rule emerges from the optimization of these different central bank loss functions.

Measuring Potential Output and Output Gap and Macroeconomic Policy: The Case of Kenya

Measuring the level of an economy.s potential output and output gap are essential in identifying a sustainable non-inflationary growth and assessing appropriate macroeconomic policies. The estimation of potential output helps to determine the pace of sustainable growth while output gap estimates provide a key benchmark against which to assess inflationary or disinflationary pressures suggesting when to tighten or ease monetary policies. These measures also help to provide a gauge in the determining the structural fiscal position of the government. This paper attempts to measure Kenya.s potential output and output gap using alternative statistical techniques and structural methods. Estimation of potential output and output gap using these techniques shows varied results. The estimated potential output growth using different methods gave a range of .2.9 to 2.4 percent for 2000 and a range of .0.8 to 4.6 for 2001. Although various methods produce varied results, they however provided a broad consensus on the over-all trend and performance of the Kenyan economy. This study found that firstly, potential output growth is declining over the recent time and secondly, the Kenyan economy is contracting in the recent years.

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.

Monetary Policy Under a Currency Board

The consensus view is that central banks under currency boards do not have tools for active monetary policy. In this paper, we analyze the foreign exchange fee as a monetary policy instrument that can be used by a central bank under a currency board. We develop a general equilibrium model showing that changes in this fee may have the same effects as a change in the monetary policy stance. Thus central banks under the currency board are shown to have an avenue to implement active monetary policy.