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Funding Cost and a New Capital Model


  • Hannah, Lincoln


In asset and derivative pricing, funding costs and capital costs are usually considered separately. A derivative will be funded at a given rate such as OIS, LIBOR or the bank’s cost of borrowing, and a cost of capital will be added separately. This paper presents a model that combines the two, using funding attributions from a capital model based on the bank’s Expected Loss (EL) rather than the market standard Probability of Default (PD). The basic idea is: A bank could fund a new asset with the combination of debt and equity that leaves its EL constant. The debt-equity mix gives a funding cost that reflects the risk of the asset rather than the bank, so is a more appropriate rate for assessing the asset than the bank’s Weighted Average Cost of Capital (WACC). In this way, the model facilitates decisions consistent with the Modigliani and Miller theorem (i.e. decisions based on the risk of the asset rather than the bank’s cost of funding). A result of the model is that, in accordance with the view of Hull and White (2012), the cost of funding a derivative is given by its CVA-DVA adjusted price and does not require an additional Funding Value Adjustment (FVA). Some of the funding ideas produced by the model have already been suggested by others, such as Piterbarg (2010) and Burgard and Kjaer (2011).

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  • Hannah, Lincoln, 2013. "Funding Cost and a New Capital Model," MPRA Paper 47111, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:47111

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    References listed on IDEAS

    1. Michael Johannes & Suresh Sundaresan, 2007. "The Impact of Collateralization on Swap Rates," Journal of Finance, American Finance Association, vol. 62(1), pages 383-410, February.
    2. Jun Liu & Francis A. Longstaff & Ravit E. Mandell, 2006. "The Market Price of Risk in Interest Rate Swaps: The Roles of Default and Liquidity Risks," The Journal of Business, University of Chicago Press, vol. 79(5), pages 2337-2360, September.
    3. Daniel Heller & Nicholas Vause, 2012. "Collateral requirements for mandatory central clearing of over-the-counter derivatives," BIS Working Papers 373, Bank for International Settlements.
    4. Mark Grinblatt, 2001. "An Analytic Solution for Interest Rate Swap Spreads," International Review of Finance, International Review of Finance Ltd., vol. 2(3), pages 113-149.
    5. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    6. Manmohan Singh, 2010. "Collateral, Netting and Systemic Risk in the OTC Derivatives Market," IMF Working Papers 10/99, International Monetary Fund.
    7. Pierre Collin-Dufresne, 2001. "On the Term Structure of Default Premia in the Swap and LIBOR Markets," Journal of Finance, American Finance Association, vol. 56(3), pages 1095-1115, June.
    8. Hull, J., 2010. "OTC derivatives and central clearing: can all transactions be cleared?," Financial Stability Review, Banque de France, issue 14, pages 71-78, July.
    9. Duffie, Darrell & Huang, Ming, 1996. " Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    10. Feldhütter, Peter & Lando, David, 2008. "Decomposing swap spreads," Journal of Financial Economics, Elsevier, vol. 88(2), pages 375-405, May.
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    More about this item


    CVA - Credit Value Adjustment DVA - Debit Value Adjustment FVA - Funding Value Adjustment EL - Expected Loss Capital Debt CVA - Credit Value Adjustment DVA - Debit Value Adjustment FVA - Funding Value Adjustment PD – Probability of Default EL - Expected Loss Capital Debt Attribution;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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