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Fast Computation of the Economic Capital, the Value at Risk and the Greeks of a Loan Portfolio in the Gaussian Factor Model

Pavel Okunev ()

Risk and Insurance from University Library of Munich, Germany

Abstract: We propose a fast algorithm for computing the economic capital, Value at Risk and Greeks in the Gaussian factor model. The algorithm proposed here is much faster than brute force Monte Carlo simulations or Fourier transform based methods. While the algorithm of Hull-White is comparably fast, it assumes that all the loans in the portfolio have equal notionals and recovery rates. This is a very restrictive assumption which is unrealistic for many portfolios encountered in practice. Our algorithm makes no assumptions about the homogeneity of the portfolio. Additionally, it is easier to implement than the algorithm of Hull- White. We use the implicit function theorem to derive analytic expressions for the Greeks

Keywords: Economic capital; gaussian factor model; value at risk; unexpected loss; fast algorithm (search for similar items in EconPapers)
Pages: 9 pages
Date: 2005-07-23
New Economics Papers: this item is included in nep-cmp, nep-fin and nep-fmk
Note: Type of Document - pdf; pages: 9
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