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Variance Risk Premia

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Author Info
Peter Carr (New York University & Bloomberg)
Liuren Wu (Zicklin School of Business, Baruch College)

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Abstract

We propose a direct and robust method for quantifying the variance risk premium on financial assets. We theoretically and numerically show that the risk-neutral expected value of the return variance, also known as the variance swap rate, is well approximated by the value of a particular portfolio of options. Ignoring the small approximation error, the difference between the realized variance and this synthetic variance swap rate quantifies the variance risk premium. Using a large options data set, we synthesize variance swap rates and investigate the historical behavior of variance risk premia on five stock indexes and 35 individual stocks.

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Paper provided by EconWPA in its series Finance with number 0409015.

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Length: 60 pages
Date of creation: 07 Sep 2004
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Handle: RePEc:wpa:wuwpfi:0409015

Note: Type of Document - pdf; pages: 60
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Related research
Keywords: Stochastic volatility; variance risk premia; variance swap; volatility swap; option pricing; expectation hypothesis;

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Find related papers by JEL classification:
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gael M. Martin & Andrew Reidy & Jill Wright, 2009. "Does the option market produce superior forecasts of noise-corrected volatility measures?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 77-104. [Downloadable!]
    Other versions:
  2. Tim Bollerslev & Michael Gibson & Hao Zhou, 2007. "Dynamic Estimation of Volatility Risk Premia and Investor Risk Aversion from Option-Implied and Realized Volatilities," CREATES Research Papers 2007-16, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  3. Fousseni Chabi-Yo, 2006. "Conditioning Information and Variance Bounds on Pricing Kernels with Higher-Order Moments: Theory and Evidence," Working Papers 06-38, Bank of Canada. [Downloadable!]
  4. Lieven Baele & Geert Bekaert & Koen Inghelbrecht, 2009. "The Determinants of Stock and Bond Return Comovements," NBER Working Papers 15260, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  5. Tim Bollerslev & Hao Zhou, 2007. "Expected Stock Returns and Variance Risk Premia," CREATES Research Papers 2007-17, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  6. Torben G. Andersen & Oleg Bondarenko, 2007. "Construction and Interpretation of Model-Free Implied Volatility," NBER Working Papers 13449, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2004. "The Cross-Section of Volatility and Expected Returns," NBER Working Papers 10852, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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