THE VAR AT RISK
Abstract
I show that the structure of the firm is not neutral with respect to regulatory capital budgeted under rules which are based on the Value-at-Risk. Indeed, when a holding company has the liberty to divide its risk into as many subsidiaries as needed, and when the subsidiaries are subject to capital requirements according to the Value-at-Risk budgeting rule, then there is an optimal way to divide risk which is such that the total amount of capital to be budgeted by the shareholder is zero. This result may lead to regulatory arbitrage by some firms.
References
- Mathematical Finance 9, 203 (1999), DOI: 10.1111/1467-9965.00068. Crossref, Web of Science, Google Scholar
- I. Ekeland, A. Galichon and M. Henry, Comonotonic measures of multivariate risks, to appear in Mathematical Finance . Google Scholar
- R. Ibragimov, Portfolio diversification and value at risk under thick-tailedness, Harvard Institute of Economic Research Discussion Paper #2086 (2004) . Google Scholar
- Advances in Mathematical Economics 3, 83 (2001). Crossref, Web of Science, Google Scholar