English, Article, Journal or magazine article edition: On time-scaling of risk and the square–root–of–time rule Jean-Pierre Zigrand; Jon Danielsson

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Bookmark: http://trove.nla.gov.au/version/45546
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • On time-scaling of risk and the square–root–of–time rule
Author
  • Jean-Pierre Zigrand
  • Jon Danielsson
Physical Description
  • preprint
Notes
  • Many financial applications, such as risk analysis and derivatives pricing, depend on time scaling of risk.  A common method for this purpose, though only correct when returns are iid normal, is the square root of time rule where an estimated quantile of a return distribution is scaled to a lower frequency by the square-root of the time horizon. The aim of this paper is to examine time scaling of risk when returns follow a jump diffusion process. It is argued that a jump diffusion is well-suited for the modeling of systemic risk, which is the raison d'etre of the Basel capital adequacy proposals. We demonstrate that the square root of time rule leads to a systematic underestimation of risk, whereby the degree of underestimation worsens with the time horizon,the jump intensity and the confidence level.  As a result,even if the square root of time rule has widespread applications in the Basel Accords, it fails to address the objective of the Accords.
  • RePEc:fmg:fmgdps:dp439
Language
  • English
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