Remarks on an arbitrage-free condition for XVA
JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
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Remarks on an arbitrage-free condition for XVA
Akihiro Tanaka
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JOURNAL FREE ACCESS

2019 Volume 11 Pages 57-60

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Abstract

After the financial crisis, it has been widely recognized that counterparty default risks have serious consequences and that there are remarkably large differences in various interest rates. As a result, the methodology for pricing derivative securities has been modified: Currently, the price of a derivative security is expressed as the so-called XVA, which is the risk-neutral price plus total valuation adjustment. In this paper, we aim to provide a theoretical interpretation of XVA: Some valuation adjustments are interpreted as the ``$0$th-order'' approximation of XVA. Further, we describe a sufficient condition to ensure the arbitrage-free property of the $0$th-order price approximation.

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© 2019, The Japan Society for Industrial and Applied Mathematics
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