The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.
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Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices
Published: 11/27/2005 | DOI: 10.1111/j.1540-6261.2004.00666.x
Bjørn Eraker
This paper examines the empirical performance of jump diffusion models of stock price dynamics from joint options and stock markets data. The paper introduces a model with discontinuous correlated jumps in stock prices and stock price volatility, and with state‐dependent arrival intensity. We discuss how to perform likelihood‐based inference based upon joint options/returns data and present estimates of risk premiums for jump and volatility risks. The paper finds that while complex jump specifications add little explanatory power in fitting options data, these models fare better in fitting options and returns data simultaneously.
The Price of Higher Order Catastrophe Insurance: The Case of VIX Options
Published: 09/27/2022 | DOI: 10.1111/jofi.13182
BJØRN ERAKER, AOXIANG YANG
We develop a tractable equilibrium pricing model to explain observed characteristics in equity returns, VIX futures, S&P 500 options, and VIX options data based on affine jump‐diffusive state dynamics and representative agents endowed with Duffie‐Epstein recursive preferences. Our calibrated model replicates consumption, dividends, and asset market data, including VIX futures returns, the average implied volatilities in SPX and VIX options, and first‐ and higher‐order moments of VIX options returns. We document a time variation in the shape of VIX‐option‐implied volatility and a time‐varying hedging relationship between VIX and SPX options that our model both captures.
The Impact of Jumps in Volatility and Returns
Published: 05/06/2003 | DOI: 10.1111/1540-6261.00566
Bjørn Eraker, Michael Johannes, Nicholas Polson
This paper examines continuous‐time stochastic volatility models incorporating jumps in returns and volatility. We develop a likelihood‐based estimation strategy and provide estimates of parameters, spot volatility, jump times, and jump sizes using S&P 500 and Nasdaq 100 index returns. Estimates of jump times, jump sizes, and volatility are particularly useful for identifying the effects of these factors during periods of market stress, such as those in 1987, 1997, and 1998. Using formal and informal diagnostics, we find strong evidence for jumps in volatility and jumps in returns. Finally, we study how these factors and estimation risk impact option pricing.