Resolving New Keynesian Anomalies with Wealth in the Utility Function. Michaillat, P. & Saez, E. The Review of Economics and Statistics, 103(2):197–215, May, 2021.
Resolving New Keynesian Anomalies with Wealth in the Utility Function [link]Link  doi  abstract   bibtex   
At the zero lower bound, the New Keynesian model predicts that output and inflation collapse to implausibly low levels and that government spending and forward guidance have implausibly large effects. To resolve these anomalies, we introduce wealth into the utility function; the justification is that wealth is a marker of social status, and people value status. Since people partly save to accrue social status, the Euler equation is modified. As a result, when the marginal utility of wealth is sufficiently large, the dynamical system representing the zero-lower-bound equilibrium transforms from a saddle to a source, which resolves all the anomalies.
@article{MichaillatSaez2021,
  title = {Resolving New {{Keynesian}} Anomalies with Wealth in the Utility Function},
  author = {Michaillat, Pascal and Saez, Emmanuel},
  year = {2021},
  month = may,
  journal = {The Review of Economics and Statistics},
  volume = {103},
  number = {2},
  pages = {197--215},
  doi = {10.1162/rest_a_00893},
  url = {https://doi.org/10.1162/rest_a_00893},
  abstract = {At the zero lower bound, the New Keynesian model predicts that output and inflation collapse to implausibly low levels and that government spending and forward guidance have implausibly large effects. To resolve these anomalies, we introduce wealth into the utility function; the justification is that wealth is a marker of social status, and people value status. Since people partly save to accrue social status, the Euler equation is modified. As a result, when the marginal utility of wealth is sufficiently large, the dynamical system representing the zero-lower-bound equilibrium transforms from a saddle to a source, which resolves all the anomalies.},
  keywords = {Impacts of Wealth Inequality}
}

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