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Working Paper
Perturbation methods for Markov-switching DSGE models
This paper develops a general perturbation methodology for constructing high-order approximations to the solutions of Markov-switching DSGE models. We introduce an important and practical idea of partitioning the Markov-switching parameter space so that a steady state is well defined. With this definition, we show that the problem of finding an approximation of any order can be reduced to solving a system of quadratic equations. We propose using the theory of Grobner bases in searching all the solutions to the quadratic system. This approach allows us to obtain all the approximations and ...
Working Paper
The impact of medical and nursing home expenses and social insurance
We consider a life-cycle model with idiosyncratic risk in earnings, out-of-pocket medical and nursing home expenses, and survival. Partial insurance is available through welfare, Medicaid, and social security. Calibrating the model to the United States, we show that (1) savings for old-age, out-of-pocket expenses account for 13.5 percent of aggregate wealth, half of which is due to nursing home expenses; (2) cross-sectional out-of-pocket nursing home risk accounts for 3 percent of aggregate wealth and substantially slows down wealth decumulation at older ages; (3) the impact of medical and ...
Working Paper
Equilibrium Multiplicity in Aiyagari and Krusell-Smith
Repeatedly solving the Aiyagari (1994) model with random parameters, we construct hundreds of examples with multiple stationary equilibria. We never find multiplicity with risk aversion less than ≈ 1.49, depreciation less than ≈ 0.19, or income persistence less than ≈ 0.47, and multiplicity requires a disaster state for income. In cases with multiplicity, the lowest rental rate occurs near depreciation times the capital share. It is possible for the economy, without a change in fundamentals, to transition rationally from a higher-rate equilibrium to one with a lower rental rate, lower ...
Working Paper
Are predictable improvements in TFP contractionary or expansionary? implications from sectoral TFP
We document in the US data: (1) The dominant predictable component of investment-sector TFP is its long-run movements, and a favorable shock to predictable changes in investmentsector TFP induces a broad economic boom that leads actual increases in investment-sector TFP by almost two years, and (2) predictable changes in consumption-sector TFP occur mainly at short forecast horizons, and a favorable shock to such predictable changes leads to immediate reductions in hours worked, investment, and output as well as an immediate rise in consumption-sector TFP. We argue that these documented ...
Working Paper
A new monthly indicator of global real economic activity
In modelling macroeconomic time series, often a monthly indicator of global real economic activity is used. We propose a new indicator, named World steel production, and compare it to other existing indicators, precisely the Kilian?s index of global real economic activity and the index of OECD World industrial production. We develop an econometric approach based on desirable econometric properties in relation to the quarterly measure of World or global gross domestic product to evaluate and to choose across different alternatives. The method is designed to evaluate short-term, long-term and ...
Working Paper
Rational Bubbles in Non-Linear Business Cycle Models: Closed and Open Economies
This paper studies rational bubbles in non-linear dynamic general equilibrium models of the macroeconomy. The term ‘rational bubble’ refers to multiple equilibria due to the absence of a transversality condition (TVC) for capital. The lack of TVC can be due to an OLG population structure. If a TVC is imposed, the macro models considered here have a unique solution. Bubbles reflect self-fulfilling fluctuations in agents’ expectations about future investment. In contrast to explosive rational bubbles in linearized models (Blanchard (1979)), the rational bubbles in non-linear models here ...
Working Paper
Estimating the Euler equation for output
New Keynesian macroeconomic models have generally emphasized that expectations of future output are a key factor in determining current output. The theoretical motivation for such forward-looking behavior relies on a straightforward generalization of the well-known Euler equation for consumption. In this paper, we use maximum likelihood and generalized method of moments (GMM) methods to explore the empirical importance of output expectations. We find little evidence that rational expectations of future output help determine current output, especially after taking into account the small-sample ...
Working Paper
Monetary Tightening and Financial Stress during Supply- versus Demand-Driven Inflation
The paper explores the state-dependent effects of a monetary policy tightening on financial stress, focusing on a novel dimension: whether inflation is driven by supply factors versus demand factors at the time of the policy intervention. We use local projections to estimate the effect of high frequency identified monetary policy surprises on a variety of financial stress measures, differentiating the effects based on whether inflation is supply-driven or demand-driven. We find that financial stress flares up after a monetary tightening when inflation is supply-driven whereas it remains ...
Working Paper
CECL and the Credit Cycle
We find that that the Current Expected Credit Loss (CECL) standard would slightly dampen fluctuations in bank lending over the economic cycle. In particular, if the CECL standard had always been in place, we estimate that lending would have grown more slowly leading up to the financial crisis and more rapidly afterwards. We arrive at this conclusion by estimating historical allowances under CECL and modeling how the impact on accounting variables would have affected banks' lending and capital distributions. We consider a variety of approaches to address uncertainty regarding the management of ...
Working Paper
How Fast are Semiconductor Prices Falling?
The Producer Price Index (PPI) for the United States suggests that semiconductor prices have barely been falling in recent years, a dramatic contrast to the rapid declines reported from the mid-1980s to the early 2000s. This slowdown in the rate of decline is puzzling in light of evidence that the performance of microprocessor units (MPUs) has continued to improve at a rapid pace. Over the course of the 2000s, the MPU prices posted by Intel, the dominant producer of MPUs, became much stickier over the chips' life cycle. As a result of this change, we argue that the matched-model methodology ...