Creator: Bullard, James and Russell, Steven Series: Finance, fluctuations, and development Abstract:
We examine the conditions under which steady states with low real interest rates—real rates substantially below the output growth rate—exist in an overlapping generations model with production, capital accumulation, a labor-leisure trade-off, technological progress, and agents who live for many periods. The number of periods in an agent's life (n) is left open for much of the analysis and determines the temporal interpretation of a time period. The qualitative properties of the model are largely invariant to different values of n. We find that two low real interest rate steady states exist for empirically plausible values of the parameters of the model. Outside liabilities such as fiat currency or unbacked government debt are valued in one of these steady states.
Keyword: Interest rates, Debts, Public, and General equilibrium models Subject (JEL): E40 - Money and interest rates - General and D51 - General equilibrium and disequilibrium - Exchange and production economies
Creator: Bullard, James and Duffy, John, 1964- Series: Joint committee on business and financial analysis Abstract:
Trend-cycle decomposition has been problematic in equilibrium business cycle research. Many models are fundamentally based on the concept of balanced growth, and so have clear predictions concerning the nature of the multivariate trend that should exist in the data if the model is correct. But the multivariate trend that is removed from the data in this literature is not the same one that is predicted by the model. This is understandable, because unexpected changes in trends are difficult to model under a rational expectations assumption. A learning assumption is more appropriate here. We include learning in a standard equilibrium business cycle model with explicit growth. We ask how the economy might react to the important trend-changing events of the postwar era in industrialized economies, such as the productivity slowdown, increased labor force participation by women, and the "new economy" of the 1990s. This tells us what the model says about the trend that should be taken out of the data before the business cycle analysis begins. Thus we use learning to address the trend-cycle decomposition problem that plagues equilibrium business cycle research. We argue that a model-consistent approach, such as the one we suggest here, is necessary if the goal is to obtain an accurate assessment of an equilibrium business cycle model.
Keyword: Learning, Productivity slowdown, New economy, Equilibrium business cycle theory, and Business cycle fluctuations Subject (JEL): E30 - Prices, business fluctuations, and cycles - General and E20 - Macroeconomics : Consumption, saving, production, employment, and investment - General
Creator: Azariadis, Costas, Bullard, James, and Ohanian, Lee E. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 255 Abstract:
Autoregressions of quarterly or annual aggregate time series provide evidence of trend-reverting output growth and of short-term dynamic adjustment that appears to be governed by complex eigenvalues. This finding is at odds with the predictions of reasonably parameterized, convex one-sector growth models, most of which have positive real characteristic roots. We study a class of one-sector economies, overlapping generations with finite life spans of L greater than or equal to 3, in which aggregate saving depends nontrivially on the distribution of wealth among cohorts. If consumption goods are weak gross substitutes near the steady state price vector, we prove that the unique equilibrium of a life cycle exchange economy converges to the unique steady state via damped oscillations. We also conjecture that this form of trend reversion extends to production economies with a relatively flat factor-price frontier, and we test this conjecture in several plausible parameterizations of 55-period life cycle economies.
Keyword: Eigenvalues, Economies, Cyclical fluctuations, and Life cycle Subject (JEL): E30 - Prices, Business Fluctuations, and Cycles: General (includes Measurement and Data)