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PreprintarXiv licencearXiv

Does Calibration Pick the Right Model? Likelihood Evidence from Income Risk

Abstract

Quantitative macroeconomics typically disciplines models by matching selected moments. We show how finite-state hidden Markov approximations make likelihood estimation and model selection feasible for nonlinear, non-Gaussian latent processes on short panels, without simulation. We illustrate the method with PSID earnings data. The calibrations that best match moments of earnings dynamics fit complete histories worse than a likelihood-estimated process with a Gaussian persistent component. In a standard saving model, calibrations of one process that fit the targets about equally well imply mean assets that differ by a factor of three. Close agreement with selected moments can leave economic predictions largely undetermined.

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BibTeX
@misc{cheng2026does,
  title = {{Does Calibration Pick the Right Model? Likelihood Evidence from Income Risk}},
  author = {Jiuyi Cheng and Alexis Akira Toda},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02029},
  eprint = {2611.02029},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02029},
}
RIS
TY  - UNPB
TI  - Does Calibration Pick the Right Model? Likelihood Evidence from Income Risk
AU  - Jiuyi Cheng
AU  - Alexis Akira Toda
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.02029
UR  - https://arxiv.org/abs/2611.02029
AB  - Quantitative macroeconomics typically disciplines models by matching selected moments. We show how finite-state hidden Markov approximations make likelihood estimation and model selection feasible for nonlinear, non-Gaussian latent processes on short panels, without simulation. We illustrate the method with PSID earnings data. The calibrations that best match moments of earnings dynamics fit complete histories worse than a likelihood-estimated process with a Gaussian persistent component. In a standard saving model, calibrations of one process that fit the targets about equally well imply mean assets that differ by a factor of three. Close agreement with selected moments can leave economic predictions largely undetermined.
ER  -