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Title page 1
Contents 1
Abstract 2
Non-technical summary 3
1. Introduction 4
2. Optimal monetary policy with asymmetric inflation risks 9
2.1. The case of symmetric risks 9
2.2. The case of asymmetric risks: the beliefs representation 10
2.3. The case of asymmetric risks with an unwitting central bank 12
2.4. A illustrative example 13
3. An econometric framework for inflation risk 16
3.1. Model specification 16
3.2. Formally testing for time-varying inflation skewness 19
3.3. In-sample inference 20
3.4. Out-of-sample performance of the model 23
4. Quantitative structural analysis 26
4.1. The RAIT in the post-pandemic era 31
4.2. FAIT vs. RAIT 34
5. Concluding remarks 37
References 39
Appendix 43
A. Solving the New Keynesian model with mark-up shock 43
B. Score-driven framework 53
C. Evidence for other inflation measures 57
D. Monte Carlo analysis 62
E. Additional results 67
Acknowledgements 69
Tables 19
Table 1. Time variation in higher order moments 19
Table 2. Out-of-sample comparison 24
Table 3. Event forecast comparison against SPF 25
Figures 15
Figure 1. Optimal monetary policy under symmetric and asymmetric macroeconomic risks 15
Figure 2. Parameter updating 18
Figure 3. Time-varying moments of inflation 21
Figure 4. Model-based vs rolling measures of skewness 22
Figure 5. Event forecasts 26
Figure 6. Forward guidance under the RAIT 32
Figure 7. Macro dynamics under RAIT 34
Figure 8. FAIT vs. RAIT 36
Appendix Tables 57
Table C1. Time variation in higher order moments 57
Table E1. Out-of-sample comparison - Student t 67
Table E2. Out-of-sample comparison - ϱ = 0, ∀t 67
Table E3. Parameters estimates for the econometric model in Section 3 68
Appendix Figures 58
Figure C1. Risk across different inflation measures 58
Figure C2. Estimated mean for different inflation measures 59
Figure C3. Estimated volatility for different inflation measures 60
Figure C4. Estimated skewness for different inflation measures 61
Figure D1/Figure D5. Estimated asymmetry 65
Figure D2/Figure D6. Disentangling permanent changes 66
Figure E1. Bai and Ng (2005) rolling tests 68
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