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Dynamic stochastic general equilibrium (DSGE) models have been an ubiquitous, and controversial, part of macroeconomics for decades. In this paper, we approach DSGEs purely as statstical models. We do this by applying two common model…

Applications · Statistics 2022-11-02 Daniel J. McDonald , Cosma Rohilla Shalizi

A number of macroeconomic theories, very popular in the 1980s, seem to have completely disappeared and been replaced by the dynamic stochastic general equilibrium (DSGE) approach. We will argue that this replacement is due to a tacit…

General Economics · Economics 2019-08-29 Jean-Bernard Chatelain , Kirsten Ralf

The Euler scheme is one of the standard schemes to obtain numerical approximations of stochastic differential equations (SDEs). Its convergence properties are well-known in the case of globally Lipschitz continuous coefficients. However, in…

Numerical Analysis · Mathematics 2019-01-29 S. Göttlich , K. Lux , A. Neuenkirch

The paper discusses capital allocation using the Euler formula and focuses on the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new results connected to this capital allocation is known. Two examples illustrate that…

Risk Management · Quantitative Finance 2024-05-02 Lars Holden

This paper examines the question whether information is contained in forecasts from DSGE models beyond that contained in lagged values, which are extensively used in the models. Four sets of forecasts are examined. The results are…

General Economics · Economics 2018-08-10 Ray Fair

Despite the fact that the Euler allocation principle has been adopted by many financial institutions for their internal capital allocation process, a comprehensive description of Euler allocation seems still to be missing. We try to fill…

Portfolio Management · Quantitative Finance 2008-12-02 Dirk Tasche

We investigate a multi-household DSGE model in which past aggregate consumption impacts the confidence, and therefore consumption propensity, of individual households. We find that such a minimal setup is extremely rich, and leads to a…

General Finance · Quantitative Finance 2019-07-19 Federico Guglielmo Morelli , Michael Benzaquen , Marco Tarzia , Jean-Philippe Bouchaud

As a well-known fact, the classical Euler scheme works merely for SDEs with coefficients of linear growth. In this paper, we study a general framework of modified Euler schemes, which is applicable to SDEs with super-linear drifts and…

Probability · Mathematics 2024-12-30 Jianhai Bao , Mateusz B. Majka , Jian Wang

We consider the Euler scheme for stochastic differential equations with jumps, whose intensity might be infinite and the jump structure may depend on the position. This general type of SDE is explicitly given for Feller processes and a…

Probability · Mathematics 2020-04-17 Björn Böttcher , Alexander Schnurr

We consider numerical approximations of stochastic differential equations by the Euler method. In the case where the SDE is elliptic or hypoelliptic, we show a weak backward error analysis result in the sense that the generator associated…

Numerical Analysis · Mathematics 2011-05-04 Arnaud Debussche , Erwan Faou

This paper characterizes DSGE models as fixed-point selection devices for self-referential economic specifications. We formalize this structure as $(S, T, \Pi)$: specification, self-referential operator, and equilibrium selector. The…

Theoretical Economics · Economics 2026-01-28 Mitsuhiro Okano

Aggregate shocks affect most households' and firms' decisions. Using three stylized models we show that inference based on cross-sectional data alone generally fails to correctly account for decision making of rational agents facing…

Methodology · Statistics 2022-04-28 Jinyong Hahn , Guido Kuersteiner , Maurizio Mazzocco

It is widely recognized that the existing parameter estimators and adaptive controllers for robot manipulators are extremely complicated to be of practical use. This is mainly due to the fact that the existing parameterization includes the…

Dynamical Systems · Mathematics 2021-06-16 Jose Guadalupe Romero , Romeo Ortega , Alexey Bobtsov

We introduce an equilibrium asset pricing model, which we build on the relationship between a novel risk measure, the Expected Downside Risk (EDR) and the expected return. On the one hand, our proposed risk measure uses a nonparametric…

Pricing of Securities · Quantitative Finance 2015-12-08 Mihaly Ormos , Dusan Timotity

How do macro-financial shocks affect investor behavior and market dynamics? Recent evidence on experience effects suggests a long-lasting influence of personally experienced outcomes on investor beliefs and investment, but also significant…

Economics · Quantitative Finance 2019-02-28 Ulrike Malmendier , Demian Pouzo , Victoria Vanasco

Dynamic Stochastic General Equilibrium (DSGE) models are nowadays a crucial quantitative tool for policy-makers. However, they did not emerge spontaneously. They are built upon previously established ideas in Economics and relatively recent…

General Economics · Economics 2025-02-11 Genaro Martín Damiani

Does euro adoption affect long-run economic growth? Existing evidence is mixed, reflecting limited treated countries, long horizons that challenge inference, and heterogeneity across member states. We estimate causal dynamic and…

Econometrics · Economics 2026-01-29 Harry Aytug

This paper shows that diagnostic expectations (DE) and rational expectations (RE) are not observationally equivalent in dynamic stochastic general equilibrium (DSGE) models. Using the frequency-domain framework of Qu and Tkachenko (2012,…

Econometrics · Economics 2026-05-26 Jinting Guo

We use supervised learning to identify factors that predict the cross-section of returns and maximum drawdown for stocks in the US equity market. Our data run from January 1970 to December 2019 and our analysis includes ordinary least…

Statistical Finance · Quantitative Finance 2023-12-05 Lisa R. Goldberg , Saad Mouti

We present a criterion for uniform in time convergence of the weak error of the Euler scheme for Stochastic Differential equations (SDEs). The criterion requires i) exponential decay in time of the space-derivatives of the semigroup…

Probability · Mathematics 2020-07-28 D. Crisan , P. Dobson , M. Ottobre
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