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Jump Distribution Characteristics: Evidence from European Stock Markets

Thierry Ané, +1 more
- 01 Jan 2010 - 
- Vol. 9, Iss: 1, pp 1-22
TLDR
In this paper, the unconditional distributional properties of the two components of a jump -intensity and size - for three leading European stock market indexes were analyzed, and a framework was provided to do so and analyze the conditional distributions of two components.
Abstract
A comparison of the realized variance and the realized bipower variation provides a nonparametric estimation of the sum of all the intraday squared jump sizes. To recover individual jumps from this overall contribution to the quadratic variation, one needs to estimate both the number of jumps per day and their respective size. We provide a framework to do so and analyze the unconditional distributional properties of the two components of a jump - intensity and size - for three leading European stock market indexes.

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References
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Option pricing when underlying stock returns are discontinuous

TL;DR: In this article, an option pricing formula was derived for the more general case when the underlying stock returns are generated by a mixture of both continuous and jump processes, and the derived formula has most of the attractive features of the original Black-Scholes formula.
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The distribution of realized stock return volatility

TL;DR: In this article, the authors examined daily equity return volatilities and correlations obtained from high-frequency intraday transaction prices on individual stocks in the Dow Jones Industrial Average and found that the unconditional distributions of realized variances and covariances are highly right-skewed.
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Transform analysis and asset pricing for affine jump-diffusions

TL;DR: In this article, the authors provide an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical Treatment of a range of valuation and econometric problems.
Reference EntryDOI

Merton, Robert C.

TL;DR: Merton's most notable works include the intertemporal capital asset pricing model, the Black-Scholes-Merton option pricing formula, and the Merton structural model for credit risk.
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The Distribution of Realized Exchange Rate Volatility

TL;DR: In this article, the authors construct model-free estimates of daily exchange rate volatility and correlation that cover an entire decade using high-frequency data on deutschemark and yen returns against the dollar.
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