Solving optimal growth models with vintage capital: The dynamic programming approach

This paper deals with an endogenous growth model with vintage capital and, more precisely, with the AK model proposed in [R. Boucekkine, O. Licandro, L.A. Puch, F. del Rio, Vintage capital and the dynamics of the AK model, J. Econ. Theory 120 (1) (2005) 39-72]. In endogenous growth models the introduction of vintage capital allows to explain some growth facts but strongly increases the mathematical difficulties. So far, in this approach, the model is studied by the Maximum Principle; here we develop the Dynamic Programming approach to the same problem by obtaining sharper results and we provide more insight about the economic implications of the model. We explicitly find the value function, the closed loop formula that relates capital and investment, the optimal consumption paths and the long run equilibrium. The short run fluctuations of capital and investment and the relations with the standard AK model are analyzed. Finally the applicability to other models is also discussed.     

Government‐spending multipliers and the zero lower bound in an open economy

This paper assesses the size of the government‐spending multiplier in an open economy when the zero lower bound (ZLB) on the nominal interest rate is binding. In a theoretical framework, in a closed economy, other authors have shown that when the nominal interest rate is binding the government‐spending multiplier can be very large (close to four). Their theory helps illuminate the government‐spending multiplier in the ZLB, but it is difficult to match that theory with the data. We argue that, in an open economy, another channel exists for the crowding‐out effect via the real exchange rate. For an open economy, the government‐spending multiplier is not large owing to the appreciation of the real exchange rate, induced by the appreciation of aggregate demand that follows the increases in government spending. To test the robustness of our open economic model, we conduct the same analysis in a corresponding closed economy model. The result from our closed economy model confirms the result obtained in the other work. Our theoretical results are consistent with the results obtained in the empirical literature, which uses the vector autoregressive method and the structural vector autoregressive approach to measure the impact of government‐spending shock on the real gross domestic product and revealed that the government‐spending multiplier tends to be lower in open economy.     

Has the EMU reduced wage growth and unemployment? Testing a model of trade union behavior

Grüner (2010) argues that the introduction of the European Monetary Union (EMU) led to lower wage growth and lower unemployment in participating countries. According to Grüner, monetary centralization increases the amplitude of national business cycles, which leads to higher unemployment risk. In order to counter-balance this effect, trade unions lower their claims for wage mark-ups, resulting in lower wage growth and lower unemployment. This paper uses macroeconomic data on OECD countries and a difference-in-differences approach to empirically test the implications of this model. Although we come up with some weak evidence for increased business cycle amplitudes within the EMU, we neither find a significant general effect of the EMU on wage growth nor on unemployment.     

Incomplete markets,liquidation risk,and the term structure of interest rates

We analyse the term structure of interest rates in a general equilibrium model with incomplete markets, borrowing constraint, and positive net supply of government bonds. Uninsured idiosyncratic shocks generate bond trades, while aggregate shocks cause fluctuations in the trading price of bonds. Long bonds command a “liquidation risk premium” over short bonds, because they may have to be liquidated before maturity – following a bad idiosyncratic shock – precisely when their resale value is low – due to the simultaneous occurrence of a bad aggregate shock. Our framework endogenously generates limited cross-sectional wealth heterogeneity among the agents (despite the presence of uninsured idiosyncratic shocks), which allows us to characterise analytically the shape of the entire yield curve, including the yields on bonds of arbitrarily long maturities. Agents? desire to hedge the idiosyncratic risk together with their fear of having to liquidate long bonds at unfavourable terms implies that a greater bond supply raises the level of the yield curve, while an increase in the relative supply of long bonds raises its slope.     

THE EFFECTS OF THE BANK OF JAPAN'S ZERO INTEREST RATE COMMITMENT AND QUANTITATIVE MONETARY EASING ON THE YIELD CURVE: A MACRO‐FINANCE APPROACH*

This paper empirically investigates the effects of the Bank of Japan's (BOJ) zero interest rate commitment and quantitative monetary easing on the yield curve. Applying a macro‐finance approach, we decompose interest rates into expectations and risk premium components and extract the market's perception of the BOJ's policy stance. We make clear the counterfactual policy without the BOJ's commitment. We find some evidence that the commitment lowered interest rates and mat raising the reserve target may have been perceived as a signal indicating the BOJ's accommodative policy stance. The portfolio rebalancing effect has not been found to be significant.     

Measuring Monetary Policy in Germany: A Structural Vector Error Correction Approach

Abstract. A structural vector error correction (SVEC) model is used to investigate several monetary policy issues. While being data-oriented the SVEC framework allows structural modeling of the short-run and long-run properties of the data. The statistical model is estimated with monthly German data for 1975–98 where a structural break is detected in 1984. After splitting the sample, three stable long-run relations are found in each subsample which can be interpreted in terms of a money-demand equation, a policy rule and a relation for real output, respectively. Since the cointegration restrictions imply a particular shape of the long-run covariance matrix this information can be used to distinguish between permanent and transitory innovations in the estimated system. Additional restrictions are introduced to identify a monetary policy shock.     

MONTHLY GDP FORECASTING USING BRIDGE MODELS: APPLICATION FOR THE FRENCH ECONOMY

This paper presents a model to predict French gross domestic product (GDP) quarterly growth rate. The model is designed to be used on a monthly basis by integrating monthly economic information through bridge models, for both supply and demand sides, allowing thus economic interpretations. For each GDP component, bridge equations are specified by using a general‐to‐specific approach implemented in an automated way by Hoover and Perez and improved by Krolzig and Hendry. This approach allows to select explanatory variables among a large data set of hard and soft data. A rolling forecast study is carried out to assess the forecasting performance in the prediction of aggregated GDP, by taking publication lags into account in order to run pseudo real‐time forecasts. It turns out that the model outperforms benchmark models. The results show that changing the set of equations over the quarter is superior to keeping the same equations over time. In addition, GDP growth seems to be more precisely predicted from a supply‐side approach rather than a demand‐side approach.     

Market concentration, macroeconomic uncertainty and monetary policy

This paper studies the effect of market structure and macroeconomic uncertainty on the transmission of monetary policy. We motivate our analysis with a simple model which predicts that: (1) investment and production in more concentrated sectors are more affected by demand shocks and (2) high uncertainty makes investment and production more sensitive to demand shocks. The empirical analysis estimates the effect of monetary shocks on sectoral output for different sectors in the US using a structural vector autoregressive (VAR) approach. The results are generally consistent with the theoretical predictions.     

Nonlinear interest rate reaction functions for the UK

We empirically analyze Taylor-type equations for short-term interest rates in the United Kingdom using quarterly data from 1970Q1 to 2006Q2. Starting from strong evidence against a simple linear Taylor rule, we model nonlinearities using logistic smooth transition regression (LSTR) models. The LSTR models with time-varying parameters consistently track actual interest rate movements better than a linear model with constant parameters. Our preferred LSTR model uses lagged interest rates as a transition variable and suggests that in times of recessions the Bank of England puts more weight on the output gap and less so on inflation. A reverse pattern is observed in non-recession periods. Parameters of the model change less frequently after 1992, when an inflation target range was announced. We conclude that for the analysis of historical monetary policy, the LSTR approach is a viable alternative to linear reaction functions.     

Evaluating the performance of the search and matching model

Does the search and matching model fit aggregate U.S. labor market data? While the model has become an important tool of macroeconomic analysis, recent literature pointed to some significant failures in accounting for the data. This paper aims to answer two questions: (i) Does the model fit the data, and, if so, on what dimensions? (ii) Does the data “fit” the model, i.e. what are the data which are relevant to be explained by the model?The analysis shows that the model fits certain specifications of the data on many dimensions, though not on all. This includes capturing the high persistence and high volatility of most of the key variables, the negative co-variation of unemployment and vacancies, and the behavior of the worker job finding rate. A key role in this fit is played by the convexity of hiring costs and the stochastic properties of the separation rate. The latter is a major component of the rate discounting the future value of the job-worker match.The paper offers a workable, empirically grounded version of the model for the analysis of aggregate U.S. labor market dynamics.     

The Sovereign Yield Curve and the Macroeconomy in China

A dynamic Nelson–Siegel model is adopted to estimate three time‐varying factors of yield curves, the level, the slope and the curvature, and a vector autoregressive model is built to study interactions between macro variables and the yield curve. Results show that, first, money supply growth is a more effective instrument to curb inflation than the monetary policy interest rate; however, the central bank also adjusts the interest rate to stabilize money supply. Second, investment is an important measure to stimulate the Chinese economy, but it also pushes up money supply growth, which results in higher inflation. Third, the yield curve reacts significantly to innovations to investment growth and money supply growth. The segmentation of China's bond market hinders the efficient implementation of monetary policy, and the monetary policy transmission mechanism is still weak in China. Finally, interactions between the yield curve and the macroeconomy in China are nearly unidirectional. Macroeconomic variables reshape the yield curve, but direct adjustments of the yield curve do not significantly change macroeconomic variables. Due to the incomplete liberalization of financial markets, there exists a wide disjunction between the real economy and financial markets in China.     

Bayesian estimation of the output gap for a small open economy: The case of Canada

We introduce a novel approach for estimating output gaps for small open economies. Identification is based on a multivariate trend-cycle decomposition in which transitory exchange rate movements are linked to the output gap and inflation. The model is then applied to Canadian data.     

Real-time forecasts of economic activity for Latin American economies

Macroeconomic policy decisions in real-time are based on the assessment of current and future economic conditions. Crucially, these assessments are made difficult by the presence of incomplete and noisy data. The problem is more acute for emerging market economies, where most economic data are released infrequently with a (sometimes substantial) lag. This paper evaluates nowcasts and forecasts of real GDP growth using five models for ten Latin American countries. The results indicate the flow of monthly data helps to improve forecast accuracy, and the dynamic factor model consistently produces more accurate nowcasts and forecasts relative to other model specifications, across most of the countries we consider.     

On the role of money in a business cycle model of a small open economy: The case of Spain

This paper examines the consequences of introducing a cash-in-advance constraint into a small open economy business cycle model for the Spanish case. A business cycle model is built extending Correia, Neves and Rebelo's (1995) small open economy framework and Cooley and Hansen's (1995) monetary economy. Money is introduced through a cash-in-advance constraint. The stochastic simulation of the model and its comparison to Spanish data show that the model is able to mimic i) the Dolado et al. puzzle, that is, the high volatility of private consumption for this economy; ii) the Dunlop-Tarshis observation, i.e., the negative correlation between real wages and hours worked; and iii) some cyclical features of the nominal dimension.     

QUEST III: An estimated open-economy DSGE model of the euro area with fiscal and monetary policy

This paper develops a DSGE model for an open economy and estimates it on euro area data using Bayesian estimation techniques. The model features nominal and real frictions, as well as financial frictions in the form of liquidity-constrained households. The model incorporates active monetary and fiscal policy rules (for government consumption, investment, transfers and wage taxes) and can be used to analyse the effectiveness of stabilisation policies. To capture the unit root character of macroeconomic time series we allow for a stochastic trend in TFP, but instead of filtering data prior to estimation, we estimate the model in growth rates and stationary nominal ratios.     

Robust control and central banking behaviour

This paper seeks to explain the recent behaviour of the two main central banks in the recent financial crisis, applying a robust control tool through a Neo-Keynesian monetary policy model. The direct forbearer of this paper is the Giordani and Söderlind (2004) study. It begins with the origin, purpose and theoretical grounds of robust control, indicating that it is one way to face model uncertainty, as an alternative to the Bayesian approach. In the middle section, we seek to obtain the course of the model's main variables: interest rates, inflation and output. The model constructor also wants the participating agents to have the same doubts that he has regarding its validity; therefore, robust control is considered as a “fine-tuning” of the rational expectations approach. The impulse-response functions are obtained, with the monetary authority acting as a Stackelberg-type leader, affected by a perturbation on the supply side. The two relevant equilibria are obtained and compared in robust control with dynamic economy (the reference equilibrium and the worst possible case equilibrium) with that obtained when operating with rational expectations. The alternative course for the reference model set forth in the paper by Dennis (2008) is also analysed. We mainly find that the different results depend on the behaviour of the law of motion of the state variables, specifically the shadow prices that influence the private sector's expectations. Lastly, the paper relates the recent monetary policy performance when facing the financial crisis that began in the summer of 2007.     

A dynamic small open economy model with involuntary unemployment

Abstract It is well known that real business cycle small open economy (SOE) models rely on Greenwood, Hercowitz, and Huffman (1988) preferences to match the countercyclical trade balance observed in open economies, as well as other second moments, while standard preferences à la King, Plosser, and Rebelo (1988) are commonly labelled ‘ineffective,’ owing to their inability to yield the countercyclical trade balance. In this paper, I show that an SOE model with standard preferences and ‘involuntary’ unemployment with efficient risk sharing can obtain a countercyclical trade balance and match main empirical regularities in small open economies.     

The Limits of Transparency

This paper probes the limits of transparency in monetary policymaking along two dimensions: feasibility and desirability. It argues that, due to limited knowledge about the economy, even central banks (CBs) that are considered champions of openness are not very clear about their measurement of the output gap and about their beliefs regarding the effect of policy on inflationary expectations. Consequently, feasibility constraints on transparency are more serious than stylized models of the transmission mechanism would imply. In addition, no CB has made clear statements about its objective function, including in particular the relative weight on output versus inflation stabilization, the policy discount factor and the shape of losses from the inflation and the output gaps over the possible ranges of realizations of those variables.
The paper also argues that there is a trade-off between full transparency and full utilization of information in setting policy and that excessive transparency may facilitate the exertion of political pressures on the CB.
The last section of the paper abstracts from feasibility constraints and discusses the desirable levels of openness in various areas of the policymaking process. It is argued that the strongest case against immediate transparency arises when the CB has private information about problems within segments of the financial system. Premature release of information may, in such a case, destroy efficient risk-sharing arrangements and long-term investments by triggering a run on the financial system. This is illustrated within the context of the classic Diamond–Dybvig model of bank runs. The paper also probes the desirable levels of transparency in other areas of the policymaking process like the bank's objective function, the bank's output target, forecasts of economic shocks, disagreements within the CB board and the publication of CB interest-rate forecasts.     

Computing equilibrium bond prices in the Vayanos-Vila model

We develop tools for computing equilibrium bond prices for the discrete-time version of the Vayanos–Vila (2009) model. With the maturity structure included in pricing factors, factor loadings for equilibrium bond yields depends critically on parameters describing maturity structure dynamics and other model parameters. An illustrative example shows that the effect on the yield curve of a supply shock originating in a given maturity, although hump-shaped around the originating maturity, is to change yields broadly across all maturities.     

Robust control and model misspecification

A decision maker fears that data are generated by a statistical perturbation of an approximating model that is either a controlled diffusion or a controlled measure over continuous functions of time. A perturbation is constrained in terms of its relative entropy. Several different two-player zero-sum games that yield robust decision rules are related to one another, to the max-min expected utility theory of Gilboa and Schmeidler [Maxmin expected utility with non-unique prior, J. Math. Econ. 18 (1989) 141-153], and to the recursive risk-sensitivity criterion described in discrete time by Hansen and Sargent [Discounted linear exponential quadratic Gaussian control, IEEE Trans. Automat. Control 40 (5) (1995) 968-971]. To represent perturbed models, we use martingales on the probability space associated with the approximating model. Alternative sequential and nonsequential versions of robust control theory imply identical robust decision rules that are dynamically consistent in a useful sense.