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Risk-adjusted pricing of bank’s assets based on cash flow matching matrix


  • Voloshyn, Ihor
  • Voloshyn, Mykyta


To price bank’s assets correctly, it is important to know cost of funds. But funding cost calculation is complicated due to the fact that banks fund long term assets through short-term liabilities. As a result, assets with a given time to maturity are usually financed by several liabilities with different maturities. To calculate funding cost it needs to know how cash flows are matched between assets and liabilities. For this it`s used cash flow matching matrix or funding matrix. In the paper, a new algorithm of filling of a two-dimensional funding matrix that is based on the golden rule of banking and modified RAROC approach is proposed. It provides positive definiteness and uniqueness of the matrix. The matrix shows terms to maturity and amounts of liability cash flows which fund the asset cash flow with a given term to maturity. Examples of partially and fully filled matrices are presented. It is proposed an approach to risk-adjusted pricing that is based on this funding matrix and RAROC-approach adapted to cash flows. The developed approach to pricing integrates organically credit and liquidity risks. It takes into consideration expected credit losses and economic capital (unexpected credit losses) for all lifetime of asset cash flows and not one-year period traditionally used in RAROC.

Suggested Citation

  • Voloshyn, Ihor & Voloshyn, Mykyta, 2013. "Risk-adjusted pricing of bank’s assets based on cash flow matching matrix," MPRA Paper 61611, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:61611

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    References listed on IDEAS

    1. de Haan, Leo & van den End, Jan Willem, 2013. "Bank liquidity, the maturity ladder, and regulation," Journal of Banking & Finance, Elsevier, vol. 37(10), pages 3930-3950.
    2. Meilan Yan & Maximilian J. B. Hall & Paul Turner, 2014. "Estimating Liquidity Risk Using The Exposure‐Based Cash‐Flow‐At‐Risk Approach: An Application To The Uk Banking Sector," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 19(3), pages 225-238, July.
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    Cited by:

    1. Voloshyn, Ihor & Lubich, Oleksandr, 2014. "Методологічні Проблеми Фінансового Управління В Банківському Секторі України: Уроки Кризи
      [Methodological problems of financial management in Ukraine's banking sector: lessons of the crisis]
      ," MPRA Paper 60982, University Library of Munich, Germany.

    More about this item


    asset pricing; funding matrix; economic capital; cash flow at risk; risk-adjusted return on capital (RAROC); cash flow matching; interest rate; asset; liability;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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