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Capital Valuation Adjustment and Funding Valuation Adjustment

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  • Claudio Albanese

    (LaMME)

  • Simone Caenazzo

    (LaMME)

  • St'ephane Cr'epey

    (LaMME)

Abstract

In the aftermath of the 2007 global financial crisis, banks started reflecting into derivative pricing the cost of capital and collateral funding through XVA metrics. Here XVA is a catch-all acronym whereby X is replaced by a letter such as C for credit, D for debt, F for funding, K for capital and so on, and VA stands for valuation adjustment. This behaviour is at odds with economies where markets for contingent claims are complete, whereby trades clear at fair valuations and the costs for capital and collateral are both irrelevant to investment decisions. In this paper, we set forth a mathematical formalism for derivative portfolio management in incomplete markets for banks. A particular emphasis is given to the problem of finding optimal strategies for retained earnings which ensure a sustainable dividend policy.

Suggested Citation

  • Claudio Albanese & Simone Caenazzo & St'ephane Cr'epey, 2016. "Capital Valuation Adjustment and Funding Valuation Adjustment," Papers 1603.03012, arXiv.org.
    • Handle: RePEc:arx:papers:1603.03012
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    References listed on IDEAS

    as
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    Cited by:

    1. Yannick Armenti & Stéphane Crépey & Chao Zhou, 2018. "The Sustainable Black-Scholes Equations," Working Papers hal-01764397, HAL.
    2. Tomasz R. Bielecki & Igor Cialenco & Marek Rutkowski, 2017. "Arbitrage-Free Pricing Of Derivatives In Nonlinear Market Models," Papers 1701.08399, arXiv.org, revised Apr 2018.
    3. Francesca Biagini & Alessandro Gnoatto & Immacolata Oliva, 2019. "Pricing of counterparty risk and funding with CSA discounting, portfolio effects and initial margin," Working Papers 04/2019, University of Verona, Department of Economics.
    4. Claudio Albanese & Simone Caenazzo & Stéphane Crépey, 2018. "Capital and Funding," Working Papers hal-01764401, HAL.
    5. Damiano Brigo & Marco Francischello & Andrea Pallavicini, 2017. "An indifference approach to the cost of capital constraints: KVA and beyond," Papers 1708.05319, arXiv.org.

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