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OverviewMaximilian Klein analyses nested Monte Carlo simulations for the approximation of conditional expected values. Thereby, the book deals with two general risk functional classes for conditional expected values, on the one hand the class of moment-based estimators (notable examples are the probability of a large loss or the lower partial moments) and on the other hand the class of quantile-based estimators. For both functional classes, the almost sure convergence of the respective estimator is proven and the underlying convergence speed is quantified. In particular, the class of quantile-based estimators has important practical consequences especially for life insurance companies since the Value-at-Risk falls into this class and thus covers the solvency capital requirement problem. Furthermore, a novel non parametric confidence interval method for quantiles is presented which takes the additional noise of the inner simulation into account. Full Product DetailsAuthor: Maximilian KleinPublisher: Springer Fachmedien Wiesbaden Imprint: Springer Spektrum Edition: 1st ed. 2024 ISBN: 9783658438524ISBN 10: 3658438525 Pages: 137 Publication Date: 27 March 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsAuthor InformationMaximilian Klein holds a PhD in mathematics from the University of Augsburg. Currently, he works as a portfolio manager at an asset management company. Tab Content 6Author Website:Countries AvailableAll regions |