In this paper, we study the statistical properties of heterogeneous agent models with incomplete markets. Using a Bewley-Hugget-Aiyagari model we compute the equilibrium density function of wealth and show how it can be used for likelihood inference. We investigate the identifiability of the...

We study the role of heterogeneity in the revenues of individual firms for euro area macroeconomic dynamics. To this end, we specify two models: a standard aggregate vector autoregressive model (VAR) and an "heterogeneous VAR" (HVAR). The VAR model includes only aggregate data, while the HVAR...

This paper proposes a moment-matching method for approximating vector autoregressions by finite-state Markov chains. The Markov chain is constructed by targeting the conditional moments of the underlying continuous process. The proposed method is more robust to the number of discrete values and...

We describe a tractable way to jointly study macroeconomic quantities, welfare and asset prices in real business cycle models featuring affine structure of shocks and Epstein-Zin-Weil preferences. Our solution is analytical, log-linearized and adjusted for risk by exploiting log-normality....

We review the labor market implications of recent real-business-cycle models that successfully replicate the empirical equity premium. We document the fact that all models considered in this survey with the exception of Boldrin, Christiano, and Fisher (2001) imply a negative correlation of...

We document the empirical fact that asset prices in the consumption-goods and investment-goods sector behave almost identically in the US economy. In order to derive the cyclical behavior of the equity returns in these two sectors, we consider a standard two-sector real-business cycle model with...

The risk premium puzzle is even worse than previously reported if housing is also taken into consideration next to equity. While housing premia are only moderately smaller than equity premia, they are significantly less volatile and the Sharpe ratio of housing is significantly larger. Hence,...

Did the Federal Reserve's Quantitative Easing (QE) in the aftermath of the financial crisis have macroeconomic effects? To answer this question, we estimate a large-scale DSGE model over the sample from 1998 until 2020, including data of the Fed's balance sheet. We allow for QE to affect the...

Did the Federal Reserves' Quantitative Easing (QE) in the aftermath of the financial crisis have macroeconomic effects? To answer this question, the authors estimate a large-scale DSGE model over the sample from 1998 to 2020, including data of the Fed's balance sheet. The authors allow for QE to...

These notes contain the derivations for results stated without proof in Hornstein (2007). First, I derive the log-linear approximation of the inflation dynamics in the Calvo-model with elements of backward-looking pricing when the approximation takes place around a positive average inflation...