Nested simulation in portfolio risk measurement

Michael Gordy and Sandeep Juneja

No 2008-21, Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (U.S.)

Abstract: Risk measurement for derivative portfolios almost invariably calls for nested simulation. In the outer step one draws realizations of all risk factors up to the horizon, and in the inner step one re-prices each instrument in the portfolio at the horizon conditional on the drawn risk factors. Practitioners may perceive the computational burden of such nested schemes to be unacceptable, and adopt a variety of second-best pricing techniques to avoid the inner simulation. In this paper, we question whether such short cuts are necessary. We show that a relatively small number of trials in the inner step can yield accurate estimates, and analyze how a fixed computational budget may be allocated to the inner and the outer step to minimize the mean square error of the resultant estimator. Finally, we introduce a jackknife procedure for bias reduction and a dynamic allocation scheme for improved efficiency.

Keywords: Financial risk management; Econometric models; Jackknife (Statistics) (search for similar items in EconPapers)
Date: 2008
New Economics Papers: this item is included in nep-cmp and nep-rmg
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.federalreserve.gov/pubs/feds/2008/200821/200821abs.html (text/html)
http://www.federalreserve.gov/pubs/feds/2008/200821/200821pap.pdf (application/pdf)

Related works:
Journal Article: Nested Simulation in Portfolio Risk Measurement (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:fip:fedgfe:2008-21

Access Statistics for this paper

More papers in Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (U.S.) Contact information at EDIRC.
Bibliographic data for series maintained by Ryan Wolfslayer ; Keisha Fournillier ().