Funding, repo and credit inclusive valuation as modified option pricing
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Published version
Author(s)
Brigo, D
Buescu, C
Rutkowski, M
Type
Journal Article
Abstract
We take the holistic approach of computing an OTC claim value that incorporates credit and funding liquidity risks and their interplays, instead of forcing individual price adjustments: CVA, DVA, FVA, KVA. The resulting nonlinear mathematical problem features semilinear PDEs and FBSDEs. We show that for the benchmark vulnerable claim there is an analytical solution, and we express it in terms of the Black–Scholes formula with dividends. This allows for a detailed valuation analysis, stress testing and risk analysis via sensitivities.
Date Issued
2017-10-25
Date Acceptance
2017-10-12
Citation
Operations Research Letters, 2017, 45 (6), pp.665-670
ISSN
0167-6377
Publisher
Elsevier
Start Page
665
End Page
670
Journal / Book Title
Operations Research Letters
Volume
45
Issue
6
Copyright Statement
© 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Subjects
0102 Applied Mathematics
0103 Numerical And Computational Mathematics
1503 Business And Management
Operations Research
Publication Status
Published