the web's biggest credit risk modeling resource.

Credit Jobs

Home Glossary Links FAQ / About Site Guide Search


Submit Your Paper

In Rememberance: World Trade Center (WTC)

doi> search: A or B

Export citation to:
- Text (plain)
- BibTeX

Illustrating a problem in the self-financing condition in two 2010-2011 papers on funding, collateral and discounting

by Damiano Brigo of King's College London,
Cristin Buescu of King's College London,
Andrea Pallavicini of Banca IMI, and
Qing Liu of King's College London

July 11, 2012

Abstract: We illustrate a problem in the self-financing condition used in the papers "Funding beyond discounting: collateral agreements and derivatives pricing" (Risk Magazine, February 2010) and "Partial Differential Equation Representations of Derivatives with Counterparty Risk and Funding Costs" (The Journal of Credit Risk, 2011). These papers state an erroneous self-financing condition. In the first paper, this is equivalent to assuming that the equity position is self-financing on its own and without including the cash position. In the second paper, this is equivalent to assuming that a subportfolio is self-financing on its own, rather than the whole portfolio. The error in the first paper is avoided when clearly distinguishing between price processes, dividend processes and gain processes. We present an outline of the derivation that yields the correct statement of the self-financing condition, clarifying the structure of the relevant funding accounts, and show that the final result in "Funding beyond discounting" is correct, even if the self-financing condition stated is not.

JEL Classification: G12, G13.

AMS Classification: 91B70, 91G10, 91G20, 91G40.

Keywords: Funding cost, cost of funding, funding and discounting, self-financing strategy, trading strategies, hedging.

Books Referenced in this paper:  (what is this?)

Download paper (119K PDF) 8 pages

Most Cited Books within Credit Derivative Papers