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Title: An asset – liability management stochastic program of a leasing company (English)
Author: Rusý, Tomáš
Author: Kopa, Miloš
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 54
Issue: 6
Year: 2018
Pages: 1247-1263
Summary lang: English
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Category: math
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Summary: We build a multi-stage stochastic program of an asset-liability management problem of a leasing company, analyse model results and present a stress-testing methodology suited for financial applications. At the beginning, the business model of such a company is formulated. We introduce three various risk constraints, namely the chance constraint, the Value-at-Risk constraint and the conditional Value-at-Risk constraint along with the second-order stochastic dominance constraint, which are applied to the model to control risk of the optimal strategy. We also present the structure and the generation process of our scenarios. To capture the evolution of interest rates the Hull-White model is used. Thereafter, results of the model and the effect of the risk constraints on the optimal decisions are thoroughly investigated. In the final part, the performance of the optimal solutions of the problems for unconsidered and unfavourable crisis scenarios is inspected. The methodology of a stress test we used was proposed in such a way that it answers typical questions asked by asset-liability managers. (English)
Keyword: asset-liability management
Keyword: multi-stage stochastic programming
Keyword: stress test
MSC: 90B50
MSC: 90C15
MSC: 90C31
MSC: 91G10
idZBL: Zbl 07031772
idMR: MR3902632
DOI: 10.14736/kyb-2018-6-1247
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Date available: 2019-02-18T14:54:00Z
Last updated: 2020-01-05
Stable URL: http://hdl.handle.net/10338.dmlcz/147608
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