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Efficient estimation of unconditional capital by Monte Carlo simulation

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  • Ferrer, Alex
  • Casals, José
  • Sotoca, Sonia

Abstract

We address the problem of determining the unconditional capital required by a credit portfolio using Monte Carlo simulation. By elaborating on a tractable analytical framework, we propose a new efficient simulation algorithm that overweights recession periods, which are the most important periods for determining the final capital figure, thereby improving its efficiency for a given number of simulations. We discuss the optimality and practical advantages of this algorithm. We also conduct an empirical analysis based on American charge-off data, which shows that the proposed algorithm achieves remarkable improvements in efficiency, without introducing any bias and at a negligible implementation cost.

Suggested Citation

  • Ferrer, Alex & Casals, José & Sotoca, Sonia, 2016. "Efficient estimation of unconditional capital by Monte Carlo simulation," Finance Research Letters, Elsevier, vol. 16(C), pages 75-84.
    • Handle: RePEc:eee:finlet:v:16:y:2016:i:c:p:75-84
    DOI: 10.1016/j.frl.2015.10.010
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    More about this item

    Keywords

    Capital estimation; Charge-off; Credit risk; Monte Carlo simulation; Unconditional capital;
    All these keywords.

    JEL classification:

    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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