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Fit to Targeted Moments (see text)

Fit to Targeted Moments (see text)

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We present a New Keynesian model with endogenous risk. The conditional output gap volatility depends on the price of risk, giving rise to a vulnerability channel of monetary policy. Lower interest rates not only shift consumption intertemporally but also shift conditional output risk. The model fits estimates of the conditional output gap distribut...

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... impose discipline on our exercise and ensure that our specification ends up nesting the three-equation New Keynesian workhorse model, we restrict parameters common to both to equal the values proposed in Chapter 3 of the Galí (2015) textbook, reproduced in Table 1 The remaining parameters are in Table 2 (2)) and their correlations with η t (columns (3) and (4), respectively). As shown, the overall fit of the NKV is comparable to a model with Equations (1) and (2) replaced by a first-order VAR in X t (Table 3, row 2) 8 . 5 The index aggregates 105 financial market, money market, credit supply, and shadow bank indicators using the filtering methodology of Stock and Watson (1998). ...

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... In a similar fashion, we calibrate V (·) so that the NKV model delivers two empirical features displayed in Panel a of Figure 1: 23 i) the conditional median and volatility of output gap growth correlate negatively, and ii) the negative bivariate relationship is characterized by a high R 2 (0.91). The combination of these facts is important because it ensures the skewed dynamics of output gap growth quantiles discussed in Adrian, Duarte, Liang, and Zabczyk (2020), and also generates a smooth conditional 95 th quantile, and a more volatile conditional 5 th quantile. 24 In other words, a model that delivers (i) and (ii) immediately generates a conditional output gap distribution that replicates its empirical counterpart. ...
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