NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Disentangling Volatility from Jumps

Yacine Ait-Sahalia

NBER Working Paper No. 9915
Issued in August 2003
NBER Program(s):   AP

Realistic models for financial asset prices used in portfolio choice, option pricing or risk management include both a continuous Brownian and a jump components. This paper studies our ability to distinguish one from the other. I find that, surprisingly, it is possible to perfectly disentangle Brownian noise from jumps. This is true even if, unlike the usual Poisson jumps, the jump process exhibits an infinite number of small jumps in any finite time interval, which ought to be harder to distinguish from Brownian noise, itself made up of many small moves.

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Document Object Identifier (DOI): 10.3386/w9915

Published: Journal of Financial Economics, 2004, vol. 74, pp. 487-528

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