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Option-Implied Currency Risk Premia - Princeton University

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Figure 5. <strong>Option</strong>-<strong>Implied</strong> <strong>Currency</strong> <strong>Risk</strong> <strong>Premia</strong>: Conditional carry trade portfolio. This figure illustrates the model-implied<br />

currency risk premium decomposition for the conditional G10 currency carry trade portfolio, which is spread-weighted and dollarneutral.<br />

The top panel plots the time series of the total, model-implied risk premium, and the contribution from exposure to the<br />

global currency risk factor (HML F X ). Since the empirical factor mimicking portfolio is constructed to be dollar-neutral, the<br />

entirety of the model risk premium reflects compensation for exposure to the global factor. The middle panel decomposes the<br />

model-implied portfolio risk premium into compensation for Gaussian and non-Gaussian innovations. The panel plots the share of<br />

the risk premium due to each component; the mean share due to each component is reported in the title of the respective subplots.<br />

The bottom panel decomposes the portfolio risk premium into contributions from the variance, skewness, and higher moments<br />

(other) of the global pricing kernel shock, L g Z t<br />

. The plots report data spanning the period 1999:1-2012:6, and are based on the<br />

output of Specification I.<br />

HML FX<br />

<strong>Risk</strong> Premium Decomposition − By risk factor: 3.46% (Total), 3.46% (Global)<br />

0.6<br />

0.5<br />

Total<br />

Global<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

Dec98 May00 Sep01 Jan03 May04 Sep05 Feb07 Jun08 Oct09 Feb11 Jun12<br />

1<br />

HML FX<br />

<strong>Risk</strong> Premium Decomposition − By shock type: 57.99% (Non−Gaussian)<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Non−Gaussian [%]<br />

Gaussian [%]<br />

0<br />

Dec98 May00 Sep01 Jan03 May04 Sep05 Feb07 Jun08 Oct09 Feb11 Jun12<br />

1<br />

HML FX<br />

<strong>Risk</strong> Premium Decomposition − By moment: 85.22% (2nd), 9.48% (3rd)<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Variance [%]<br />

Skewness [%]<br />

Other [%]<br />

0<br />

Dec98 May00 Sep01 Jan03 May04 Sep05 Feb07 Jun08 Oct09 Feb11 Jun12

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