We consider a firm with assets-in-place and a growth option. There is a funding gap for the expansion investment, which is covered by entering into an equity-for-guarantee swap or fee-for-guarantee swap. We explicitly derive all contingent claim prices with the pricing and timing of the growth option taking business cycle and debt maturity into account. For short-term loan, we produce an explanation why Chinese government suggests that guarantee fee rate should be approximately the fraction 50% of the interest rate of bank loans with the same maturity, but for long-term debt, we show this fraction is too small.

This paper analyzes a two-phase endogenous growth model in which the adoption of a backstop technology (e.g., solar) yields a sustained supply of essential energy inputs previously obtained from exhaustible resources (e.g., oil). Growth is knowledge-driven and the optimal timing of technology switching is determined by welfare maximization. The optimal path exhibits discrete jumps in endogenous variables: technology switching implies sudden reductions in consumption and output, an increase in the growth rate, and instantaneous adjustments in saving rates. Due to the positive growth effect, it is optimal to implement the new technology when its current consumption benefits are substantially lower than those generated by old technologies.

This paper compares the different dynamics of the simple-sum monetary aggregates and the Divisia monetary aggregate indices over time, over the business cycle, and across high and low inflation and interest-rate phases. Although traditional comparisons of the series sometimes suggest that simple-sum and Divisia monetary aggregates share similar dynamics, there are important differences around turning points that cannot be evaluated by their average behavior. We use a factor model with a regime-switching model that separates the common movements underlying the monetary aggregate indices from idiosyncratic variations in each series. We find that the major differences between the simple-sum aggregates and Divisia indices occur around the beginnings and ends of recessions and during some high-interest-rate phases. We note the inferences' policy relevance, which is particularly dramatic at the broadest (M3) level of aggregation. Indeed, as Belongia [Journal of Political Economy, 104 (5) (1996), 1065–1083] has observed in this regard, “measurement matters.”

We recast Diamond's search equilibrium model into that with a finite number of agents. The state of the model is described by a jump-Markov process, the transition rates of which are functions of the reservation cost, which are endogenously determined by value maximization by rational agents. The existence of stochastic fluctuations causes the fraction of the employed to move from one basin of attraction to the other with positive probabilities when the dynamics have multiple equilibria. Stochastic asymmetric cycles that arise are quite different from the cycles of the set of Diamond–Fudenberg nonlinear deterministic differential equations. By taking the number of agents to infinity, we get a limiting probability distribution over the stationary state equilibria. This provides a natural basis for equilibrium selection in models with multiple equilibria, which is new in the economic literature.

This paper studies optimal fiscal policy, in the form of taxation and the allocation of tax revenues between infrastructure and environmental investment, in a general-equilibrium growth model with endogenous subjective discounting. A green spending reform, defined as a reallocation of government expenditures toward the environment, can procure a double dividend by raising growth and improving environmental conditions, although the environment does not impact the production technology. Also, endogenous Ramsey fiscal policy eliminates the possibility of an “environmental and economic poverty trap.” In contrast to the case of exogenous discounting, green spending reforms are the optimal response of the Ramsey government to a rise in the agents' environmental concerns.

We investigate mean and volatility spillovers between the crude oil market and the debt, stock, and foreign exchange markets. In doing so, we estimate a four-variable VARMA–GARCH model with a BEKK representation and also examine the possible effects of monetary policy at the zero lower bound by including a dummy variable in both the conditional mean and variance equations. We find that the crude oil market and the financial markets are tightly interconnected and that monetary policy at the zero lower bound has strengthened their linkages.

The aim of this paper is to study the optimal duration of unemployment benefit entitlement across the business cycle. We analyze whether the entitlement duration should be prolonged in bad and shortened in good times. Because of consumption smoothing, such a countercyclical policy can be welfare-enhancing as long as it does not affect labor market adjustment too severely and/or as long as it can even help to reduce inefficiencies there. If, however, the labor market is already quite inflexible, procyclical behavior may be preferable. In a calibrated dynamic business cycle framework, we find that countercyclical benefit entitlement duration may be preferable in the United States but not in Europe.

Long-run income convergence is investigated in the U.S. context. We employ a novel pairwise econometric procedure based on a probabilistic definition of convergence. The time-series properties of all the possible regional income pairs are examined by means of unit root and non-cointegration tests, where inference is based on the fraction of rejections. We distinguish between the cases of strong convergence, where the implied cointegrating vector is [1, −1], and weak convergence, where long-run homogeneity is relaxed. To address cross-sectional dependence, we employ a bootstrap methodology to derive the empirical distribution of the fraction of rejections. We find supporting evidence of U.S. states sharing a common stochastic trend consistent with a definition of convergence based on long-run forecasts of state incomes being proportional rather than equal. We find that the strength of convergence between states decreases with distance and initial income disparity. Using Metropolitan Statistical Area data, evidence for convergence is stronger.

This paper examines the question to what extent premia for macroeconomic risks in banking are sufficient to avoid banking crises. We investigate a competitive banking system embedded in an overlapping-generations model subject to repeated macroeconomic shocks. We show that even if banks fully incorporate macroeconomic risks into their pricing of loans, a banking system may enter bankruptcy with probability one. A major cause for this default is that risk premia of a competitive banking system may become too small if the capital base is low.

This paper develops a new methodology for estimating both the automatic and discretionary components of fiscal policy in one reaction function using the differences between real-time and ex post data. Discretionary policy should respond to information available to the policy maker at the time (real-time data), whereas automatic fiscal policy should respond to the true state of the economy at the time (proxied by the final data). We find that the intended discretionary response of fiscal policy to the cycle is counter-cyclical. Our estimates suggest that the automatic stabilizers are at the lower end of the range found in the related literature. This new methodology reduces the risk present in the conventional CAB approach that part of the discretionary actions may be wrongly attributed to automatic stabilizers. In that sense, automatic stabilizers are typically not as strong as usually claimed. This could be of particular use in countries where insufficient data exist to estimate structural budget sensitivities directly.

We focus on the interaction of frictions both at the firm level and in the banking sector in order to examine the transmission mechanism of the shocks and to reflect on the response of the monetary policy to increases in interest rate spreads, using DSGE models with financial frictions. However, VAR models are linear and the solutions of DSGEs are often linear approximations; hence they do not consider time variation in parameters that could account for inherent nonlinearities and capture the adaptive underlying structure of the economy, especially in crisis periods. A novel method for time-varying VAR models is introduced. As an extension to the standard homoskedastic TVP-VAR, we employ a Markov-switching heteroskedastic error structure. Overall, we conduct a comparative empirical analysis of the out-of-sample performance of simple and hybrid DSGE models against standard VARs, BVARs, FAVARs, and TVP-VARs, using data sets from the U.S. economy. We apply advanced Bayesian and quasi-optimal filtering techniques in estimating and forecasting the models.

Most of us are armchair economists. Whether our opinions are right or wrong, we can proffer them at little personal cost—the most we can lose is our reputation. Not so for János Kornai. For much of his life, speaking freely would have led him to land in jail, or worse. He faced a difficult choice. He could publish illegally, take the samizdat route, but reach a very small number of readers. He could instead respect a number of official taboos, publish legally, and reach a much wider readership. These difficulties have not prevented him from giving us the most informed and deepest critique of the socialist system to date. This interview is, I hope, successful in showing the degree to which Kornai's life and work have been intertwined, and how he came to believe what he believes today. Kornai is sharing his time between Harvard and Collegium Budapest. The interview took place in my office when I was visiting Harvard University in June 1998.

David Cass is undoubtedly one of the central contributors to modern dynamic economics. His fundamental contributions include work on optimal growth problems, overlapping-generations models, sunspot equilibria, and general equilibrium models with incomplete markets. His research has shaped in profound ways the manner in which we do both micro- and macroeconomics. From laying the foundations of real business-cycle theory via the Cass-Koopmans model, to providing us with general tools and techniques to analyze dynamic economic models, to furthering our understanding of monetary economics, to making fundamental contributions to the economics of extrinsic uncertainty, Cass's work has played a major part in the development of much of modern macroeconomic theory. In addition to being a first-class scholar, Cass is also truly his own man and a free spirit of the highest order.

In this interview, we tried to gain some insights into the story of David Cass and his approach to economic theory. Also, given the title as well as the intended readership of Macroeconomic Dynamics, we made a real effort to get him to discuss modern macroeconomics and the influence his work has had on its development. We edited out some parts of the discussion in the interests of space, but what remains is essentially unedited. As most readers will know, David Cass has collaborated extensively with Karl Shell over the years. We talked to Shell a few weeks after talking to Cass, and that interview is scheduled to appear in a future issue.

We met with Dave in his office at the University of Pennsylvania's Economics Department just before noon. Amid the boxes and piles of articles, books and CD's, he sat in his standard jeans and T-shirt, looking about as disheveled as he usually does. We chatted there for a while, went out and continued over lunch, and then returned to complete the interview several hours later. It was an unseasonably warm day in February, and Friday the 13th to be exact. That is traditionally an unlucky day, but one that turned out in this case to be a real treat, at least for us! We hope that you get as much out of this conversation with Dave as we did.

It is common to interpret rejections of the unit-root null hypothesis in favor of a trend stationary process with possible trend breaks as evidence that the data are better characterized as stationary about a broken trend. This interpretation is valid only if the model postulated under the alternative hypothesis is the only plausible alternative to the model postulated under the null. We argue that there are economically plausible models that are not well captured under either the null hypothesis or the alternative hypothesis of these tests. We show that applied researchers who ignore this possibility are likely to reject the unit-root null with high probability in favor of a trend stationary process with possible breaks. Our evidence shows that this potential pitfall is both economically relevant and quantitatively important. We explore the extent to which applied users may mitigate inferential errors by using finite-sample and bootstrap critical values.

Specification tests reject a linear inflation forecasting model over the period 1959–2002. Based on this finding, we evaluate the out-of-sample inflation forecasts of a fully nonparametric model for 1994–2002. Our two main results are that: (i) nonlinear models produce much better forecasts than linear models, and (ii) including money growth in the nonparametric model yields marginal improvements, but including velocity reduces the mean squared forecast error by as much as 40%. A threshold model fits the data well over the full sample, offering an interpretation of our findings. We conclude that it is important to account for both nonlinearity and the behavior of monetary aggregates when forecasting inflation.

Herbert A. Simon, 1978 Economics Nobel Prize laureate, talked about satisficing (his neologism) rather than optimizing as being what economists really need. Indeed, optimization might be an unsuitable solution procedure (in that it suggests a unique “optimal” solution) for problems where many solutions could be satisfactory. We think that looking for an applicable monetary policy is a problem of this kind because there is no unique way in which a central bank can achieve a desired inflation (unemployment, etc.) path. We think that it is viability theory, which is a relatively young area of mathematics, that rigorously captures the essence of satisficing. We aim to use viability analysis to analyze a simple macro policy model and show how some robust adjustment rules can be endogenously obtained.

This study investigates the relationship between the sustainability of public debt and inequality in an endogenous growth model with heterogeneous agents. We show that the threshold for the sustainability of public debt is related to not only the relative size of public debt but also inequality. In addition, this study examines the effects of budget deficit and redistributive policies on the sustainability of public debt and inequality. We show that an increase in the deficit ratio or the redistributive tax makes public debt less sustainable. If the economy falls into the unsustainable region as a result of the policy change, both public debt and inequality continue to increase.

We analyze the consequences of overleveraging and the potential for destabilizing effects from financial- and real-sector interactions. In a theoretical model, we demonstrate that, in the presence of regime-dependent macro feedback relations, a highly leveraged banking system can result in instabilities and downward spirals. To investigate this question empirically, we analyze time series from eight advanced economies on industrial production and the components of the country-specific financial stress indices constructed by the IMF. Employing nonlinear, multiregime vector autoregressions, we examine how industrial production is affected by the individual risk drivers making up the indices. Our results strongly suggest that financial-sector stress has a substantial, nonlinear influence on economic activity and that individual risk drivers affect output rather differently across stress regimes and across groups of countries.

Weak separability is a key admissibility property in the Divisia approach to monetary aggregation. We test groups of U.K. household sector monetary assets for weak separability using new data underlying the Bank of England's benchmark revision of its household sector Divisia index. Nonparametric tests are used to identify four monetary asset groupings, which are weakly separable over all or almost all of the post-ERM period (1992:4–2005:1). We construct Divisia monetary aggregates for these four groupings and investigate their information content in two applications. The main findings are that Divisia money has direct effects on aggregate demand and that the growth rates of the nominal Divisia monetary aggregates Granger cause nominal output growth, but not inflation.

This paper studies the problems of measuring economic growth under conditions of high inflation. Traditional bilateral index number theory implicitly assumes that variations in the price of a commodity within a period can be ignored. To justify this assumption under conditions of high inflation, the accounting period must be shortened to a quarter, a month, or possibly a week. However, once the accounting period is less than a year, the problem of seasonal commodities is encountered; i.e., in some subannual periods, many seasonal commodities will be unavailable and hence the usual bilateral index number theory cannot be applied. The paper systematically reviews the problems of index number construction when there are seasonal commodities and high inflation. Various index number formulas are justified from the viewpoint of the economic approach to index number theory by making separability assumptions on consumers' intertemporal preferences. We find that accurate economic measurement under conditions of high inflation is very complex.