Title
Importance sampling for tail risk in discretely rebalanced portfolios
Abstract
We develop an importance sampling (IS) algorithm to estimate the lower tail of the distribution of returns for a discretely rebalanced portfolio --- one in which portfolio weights are reset at regular intervals. We use a more tractable continuously rebalanced portfolio to design the IS estimator. We analyze a limiting regime based on estimating probabilities farther in the tail while letting the rebalancing frequency increase. We show that the estimator is asymptotically efficient for this sequence of problems; its relative error grows in proportion to the fourth root of the number of rebalancing dates.
Year
DOI
Venue
2010
10.1109/WSC.2010.5678961
Winter Simulation Conference
Keywords
Field
DocType
importance sampling,investment,probability,IS estimator,discretely rebalanced portfolio,importance sampling algorithm,probability estimation,tail risk
Econometrics,Convergence (routing),Importance sampling,Algorithm design,Portfolio,Tail risk,Statistics,Approximation error,nth root,Mathematics,Estimator
Conference
ISSN
ISBN
Citations 
0891-7736
978-1-4244-9866-6
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Paul Glasserman149695.86
Xingbo Xu200.34