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Liquidity Risk, Instead Of Funding Costs, Leads To A Valuation Adjustment For Derivatives And Other Assets

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  • BERT-JAN NAUTA

    (Royal Bank of Scotland, Gustav Mahlerlaan 350, 1082 ME Amsterdam, The Netherlands)

Abstract

Traditionally derivatives have been valued in isolation. The balance sheet of which a derivative position is part, was not included in the valuation. Recently however, aspects of the valuation have been revised to incorporate certain elements of the balance sheet. Examples are the debt valuation adjustment which incorporates default risk of the bank holding the derivative, and the funding valuation adjustment that some authors have proposed to include the cost of funding into the valuation. This paper investigates the valuation of derivatives as part of a balance sheet. In particular, the paper considers funding costs, default risk and liquidity risk. A valuation framework is developed under the elastic funding assumption. This assumption states that funding costs reflect the quality of the assets, and any change in asset composition is immediately reflected in the funding costs. The result is that funding costs should not affect the value of derivatives. Furthermore, a new model for pricing liquidity risk is described. The paper highlights that the liquidity spread, used for discounting cashflows of illiquid assets, should be expressed in terms of the liquidation value (LV) of the asset, and the probability that the institution holding the asset needs to liquidate its assets.

Suggested Citation

  • Bert-Jan Nauta, 2015. "Liquidity Risk, Instead Of Funding Costs, Leads To A Valuation Adjustment For Derivatives And Other Assets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-30.
    • Handle: RePEc:wsi:ijtafx:v:18:y:2015:i:02:n:s0219024915500144
    DOI: 10.1142/S0219024915500144
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    References listed on IDEAS

    as
    1. Fries, Christian P., 2010. "Discounting Revisited. Valuations under Funding Costs, Counterparty Risk and Collateralization," MPRA Paper 23082, University Library of Munich, Germany, revised 30 May 2010.
    2. Andrea Pallavicini & Daniele Perini & Damiano Brigo, 2011. "Funding Valuation Adjustment: a consistent framework including CVA, DVA, collateral,netting rules and re-hypothecation," Papers 1112.1521, arXiv.org, revised Dec 2011.
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    Cited by:

    1. Nauta, Bert-Jan, 2016. "A Model for the Valuation of Assets with Liquidity Risk," MPRA Paper 92493, University Library of Munich, Germany.
    2. Nauta, Bert-Jan, 2016. "Multi-Curve Discounting," MPRA Paper 85657, University Library of Munich, Germany, revised 20 Feb 2018.

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