An Empirical Analysis of the Swaption Cube

Working Paper: NBER ID: w16549

Authors: Anders B. Trolle; Eduardo S. Schwartz

Abstract: We use a comprehensive database of inter-dealer quotes to conduct the first empirical analysis of the dynamics of the swaption cube. Using a model independent approach, we establish a set of stylized facts regarding the cross-sectional and time-series variation of conditional volatility and skewness of the swap rate distributions implied by the swaption cube. We then develop and estimate a dynamic term structure model that is consistent with these stylized facts, and use it to infer volatility and skewness of the risk-neutral and physical swap rate distributions. Finally, we investigate the fundamental drivers of these distributions. In particular, we find that volatility, volatility risk premia, skewness, and skewness risk premia are significantly related to the characteristics of agents' belief distributions for the macroeconomy, with GDP beliefs the most important factor in the USD market, and inflation beliefs the most important factor in the EUR market. This is consistent with differences in monetary policy objectives in the two markets.

Keywords: Swaptions; Volatility; Skewness; Macroeconomic Beliefs

JEL Codes: E43; G13


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
dispersion of agents' GDP belief distributions (D39)volatility of physical swap rate distributions (C46)
dispersion of agents' GDP belief distributions (D39)volatility risk premia (G17)
skewness of agents' GDP beliefs (D39)skewness of physical swap rate distributions (C46)
dispersion of agents' inflation belief distributions (D39)volatility of physical swap rate distributions (C46)
dispersion of agents' inflation belief distributions (D39)volatility risk premia (G17)
skewness of agents' inflation beliefs (E31)skewness of physical swap rate distributions (C46)

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