Optimal fiscal and monetary policy with sticky prices

In this paper I consider the role of state-contingent inflation as a fiscal shock absorber in an economy with nominal rigidities. I study the Ramsey equilibrium in a monetary model with distortionary taxation, nominal non-state-contingent debt, and sticky prices. With sticky prices, the Ramsey planner must balance the shock absorbing benefits of state-contingent inflation against the associated resource misallocation costs. For government spending processes resembling post-war experience, introducing sticky prices generates striking departures in optimal policy from the case with flexible prices. For even small degrees of price rigidity, optimal policy displays very little volatility in inflation. Tax rates display greater volatility compared to the model with flexible prices. With sticky prices, tax rates and real government debt exhibit behavior similar to a random walk. For government spending processes resembling periods of intermittent war and peace, optimal policy displays extreme inflation volatility even when the degree of price rigidity is large. As the variability in government spending increases, smoothing tax distortions across states of nature becomes increasingly important, and the shock absorber role of inflation is accentuated.     

Regime switching and monetary policy measurement

This paper applies regime-switching methods to the problem of measuring monetary policy. Policy preferences and structural factors are specified parametrically as independent Markov processes. Interaction between the structural and preference parameters in the policy rule serves to identify the two processes. The estimates uncover policy episodes that are initiated by switches to “dove regimes,” shown to Granger-cause both NBER recessions and the Romer dates. These episodes imply real effects of monetary policy that are smaller than those found in previous studies.     

Monetary policy for emerging market economies: beyond inflation targeting

Monetary policymakers normally seek to achieve multiple objectives: for prices as well as real economic activity, sometimes for the composition of real activity as well as the aggregate, and often for aspects of the economy's international balance. The fact that monetary policy has only one basic instrument to use therefore creates both complexity and tensions among these objectives. Although inflation targeting represents a way of imposing a logical consistency on monetary policy, in the presence of multiple policy objectives inflation targeting undermines policy transparency and therefore makes accountability more difficult too. Because of the limitation of monetary policy's having only one instrument, but multiple objectives, fiscal policy and prudential supervision and regulation of financial institutions are also important for enabling emerging market economies to achieve their macroeconomic aims.     

Optimal simple and implementable monetary and fiscal rules

Welfare-maximizing monetary- and fiscal-policy rules are studied in a model with sticky prices, money, and distortionary taxation. The Ramsey-optimal policy is used as a point of comparison. The main findings are: the size of the inflation coefficient in the interest-rate rule plays a minor role for welfare. It matters only insofar as it affects the determinacy of equilibrium. Optimal monetary policy features a muted response to output. Interest-rate rules that feature a positive response to output can lead to significant welfare losses. The welfare gains from interest-rate smoothing are negligible. Optimal fiscal policy is passive. The optimal monetary and fiscal rule combination attains virtually the same level of welfare as the Ramsey-optimal policy.     

The expectations theory works for monetary policy shocks

In practice, the expectations theory of the term structure is employed extensively in monetary policy analysis despite its empirical failure. This paper performs a conditional test of the theory that is directly relevant to monetary theory and policy. It finds that the theory holds quite well conditional on identified monetary policy shocks, but fails conditional on aggregate supply shocks that prompt an immediate jump in prices. It also finds that policy responses to movements in the term structure play an important role in uncovering evidence for the theory as predicted by McCallum [1994. Monetary policy and the term structure of interest rates. NBER Working Paper Series, no. 4938].     

Monetary conservatism and fiscal policy

Does an inflation conservative central bank à la Rogoff (1985) remain desirable in a setting with endogenous fiscal policy? To provide an answer we study monetary and fiscal policy games without commitment in a dynamic, stochastic sticky-price economy with monopolistic distortions. Monetary policy determines nominal interest rates and fiscal policy provides public goods generating private utility. We find that lack of fiscal commitment gives rise to excessive public spending. The optimal inflation rate internalizing this distortion is positive, but lack of monetary commitment generates too much inflation. A conservative monetary authority thus remains desirable. When fiscal policy is determined before monetary policy each period, the monetary authority should focus exclusively on stabilizing inflation. Monetary conservatism then eliminates the steady state biases associated with lack of monetary and fiscal commitment and leads to stabilization policy that is close to optimal.     

Discretionary monetary policy and inflation persistence

Rational expectations models of staggered price/wage contracts have failed to replicate the observed persistence in inflation and unemployment during disinflationary periods. The current literature on this persistency puzzle has focused on augmenting the nominal contract model with imperfect credibility and learning. In this paper, I re-examine the persistency puzzle by focusing on the discretionary nature of monetary policy. I show that when the central bank is allowed to re-optimize a quadratic loss function each period, imperfect credibility and learning, even in the absence of staggered contracts, can generate a significant amount of inflation persistence and employment losses during a disinflationary period.     

International welfare effects of monetary policy

In this paper, I examine the international welfare effects of monetary policy. I develop a New Keynesian two-country model, where central banks in both countries follow the Taylor rule. I show that a decrease in the domestic interest rate, under producer currency pricing, is a beggar-thyself policy that reduces domestic welfare and increases foreign welfare in the short term, regardless of whether the cross-country substitutability is high or low. In the medium term, it is a beggar-thy-neighbour (beggar-thyself) policy, if the Marshall-Lerner condition is satisfied (violated). Under local currency pricing, a decrease in the domestic interest rate is a beggar-thy-neighbour policy in the short term, but a beggar-thyself policy in the medium term. Both under producer and local currency pricing, a monetary expansion increases world welfare in the short term, but reduces it in the medium term.     

Unconditionally optimal monetary policy

We develop a simple and intuitive approach for analytically deriving unconditionally optimal (UO) policies, a topic of enduring interest in optimal monetary policy analysis. The approach can be employed in both general linear-quadratic problems and in the underlying non-linear environments. A detailed example is provided using a canonical New Keynesian framework.     

Optimal monetary policy under low trend inflation

In the monetary policy literature it is common to assume that trend inflation is zero, despite overwhelming evidence that zero inflation is neither empirically relevant nor a practical objective for central bank policy. We therefore extend the standard New Keynesian model to allow for positive trend inflation, showing that even low trend inflation has strong effects on optimal monetary policy and the dynamics of inflation, output and interest rates. Under discretion, the efficient policy deteriorates and there is no guarantee of determinacy. Even with commitment, targeting non-zero trend inflation leads to substantial welfare losses. Our results serve as a warning against indiscriminate use of models assuming zero trend inflation.     

Implications of habit formation for optimal monetary policy

We study the implications for optimal monetary policy of introducing habit formation in consumption into a general equilibrium model with sticky prices. Habit formation affects the model's endogenous dynamics through its effects on both aggregate demand and households’ supply of output. We show that the objective of monetary policy consistent with welfare maximization includes output stabilization, as well as inflation and output gap stabilization. We find that the variance of output increases under optimal policy, even though it acquires a higher implicit weight in the welfare function. We also find that a simple interest rate rule nearly achieves the welfare-optimal allocation, regardless of the degree of habit formation. In this rule, the optimal responses to inflation and the lagged interest rate are both declining in the size of the habit, although super-inertial policies remain optimal.     

Identifying the interdependence between US monetary policy and the stock market

We estimate the interdependence between US monetary policy and the S&P 500 using structural vector autoregressive (VAR) methodology. A solution is proposed to the simultaneity problem of identifying monetary and stock price shocks by using a combination of short-run and long-run restrictions that maintains the qualitative properties of a monetary policy shock found in the established literature [Christiano, L.J., Eichenbaum, M., Evans, C.L., 1999. Monetary policy shocks: what have we learned and to what end? In: Taylor, J.B., Woodford, M. (Eds.), Handbook of Macroeconomics, vol. 1A. Elsevier, New York, pp. 65-148]. We find great interdependence between the interest rate setting and real stock prices. Real stock prices immediately fall by seven to nine percent due to a monetary policy shock that raises the federal funds rate by 100 basis points. A stock price shock increasing real stock prices by one percent leads to an increase in the interest rate of close to 4 basis points.     

Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.     

Estimation of a forward-looking monetary policy rule: A time-varying parameter model using ex post data

In this paper, we consider estimation of a time-varying parameter model for a forward-looking monetary policy rule, by employing ex post data. A Heckman-type (1976. The common structure of statistical models of truncation, sample selection, and limited dependent variables and a simple estimator for such models. Annals of Economic and Social Measurement 5, 475-492) two-step procedure is employed in order to deal with endogeneity in the regressors. This allows us to econometrically take into account changing degrees of uncertainty associated with the Fed's forecasts of future inflation and GDP gap when estimating the model. Even though such uncertainty does not enter the model directly, we achieve efficiency in estimation by employing the standardized prediction errors for inflation and GDP gap as bias correction terms in the second-step regression. We note that no other empirical literature on monetary policy deals with this important issue. Our empirical results also reveal new aspects not found in the literature previously. That is, the history of the Fed's conduct of monetary policy since the early 1970s can in general be divided into three subperiods: the 1970s, the 1980s, and the 1990s. The conventional division of the sample into pre-Volcker and Volcker-Greenspan periods could mislead the empirical assessment of monetary policy.     

Enhanced Debt Management: Solving the eurozone crisis by linking debt management with fiscal and monetary policy

Unconventional approaches to suit unusual circumstances have become acceptable in monetary policy, a formerly highly conservative discipline. In this paper it is argued that unconventional approaches should also be considered in sovereign debt management, in order to contribute to resolving the eurozone sovereign debt crisis. First, the Troika crisis lending to indebted sovereign borrowers in the eurozone is reviewed and compared with standard IMF post-crisis lending. The main difference and shortcoming is the unsustainable character of the eurozone approach, due to the omission of demand stimulation components. To address this and other shortcomings, the features of an ideal alternative funding tool are identified. It would solve the funding problems of affected sovereigns, help stabilise the banking system, but most of all stimulate domestic demand and hence end the vicious downward spiral. It is found that this funding method can be implemented as part of enhanced public debt management by each nation's debt management office.     

Ramsey monetary policy with labor market frictions

Traditional New Keynesian models prescribe that optimal monetary policy should aim at price stability. In the absence of a labor market frictions, the monetary authority faces no unemployment/inflation trade-off. The design of optimal monetary policy is analyzed here for a framework with sticky prices and matching frictions in the labor market. Optimal policy features deviations from price stability in response to both productivity and government expenditure shocks. When the Hosios [1990. On the efficiency of matching and related models of search and unemployment. Review of Economic Studies 57 (2), 279-298] condition is not met, search externalities make the flexible price allocation unfeasible. Optimal deviations from price stability increase with workers’ bargaining power, as firms incentives to post vacancies fall and unemployment fluctuates above the Pareto efficient one.     

Learnability and monetary policy: A global perspective

The recent literature on monetary policy design has emphasized the importance of equilibrium determinacy and learnability in the choice of policy rules. This paper contains an analysis of the learnability of the equilibrium in a class of simple, micro-founded models in which the policy authority uses a Taylor-type monetary policy rule. Unlike previous analyses, the model economy is not linearized about a steady state—instead, a global perspective is adopted. Globally, the nonlinear model economy can possess rational expectations equilibria other than the steady state consistent with the inflation target of the monetary authorities. These include a second, low inflation ‘liquidity trap’ steady state, periodic equilibria, and sunspot equilibria. The main results in the paper characterize the conditions under which these alternative equilibria maybe stable under adaptive learning, even when the policy rule obeys the Taylor principle. The stability of multiple equilibria is associated with policy rules which are forecast-based. An important finding is that backward-looking Taylor-type policy rules can guarantee that the unique learnable equilibrium is the steady state associated with the inflation target of the monetary authority.     

Inflation targeting: What inflation rate to target?

In an economy with nominal rigidities in both an intermediate good sector and a finished good sector, and thus with a natural distinction between CPI and PPI inflation rates, a benevolent central bank faces a tradeoff between stabilizing the two measures of inflation, a final output gap and, unique to our model, a real marginal cost gap in the intermediate sector, so that optimal monetary policy is second-best. We discuss how to implement the optimal policy with minimal information requirement and evaluate the robustness of these simple rules when the central bank may not know the exact sources of shocks or nominal rigidities. A main finding is that a simple hybrid rule under which the short-term interest rate responds to CPI inflation and PPI inflation results in a welfare level close to the optimum, whereas policy rules that ignore PPI inflation or PPI sector shocks can result in significant welfare losses.     

Interest rate pass-through,monetary policy rules and macroeconomic stability

In this paper we analyze equilibrium determinacy in a sticky price model in which the pass-through from policy rates to retail interest rates is sluggish and potentially incomplete. In addition, we empirically characterize and compare the interest rate pass-through process in the euro area and the U.S. We find that if the pass-through is incomplete in the long run, the standard Taylor principle is insufficient to guarantee equilibrium determinacy. Our empirical analysis indicates that this result might be particularly relevant for bank-based financial systems as for instance that in the euro area.