This paper provide a large-deviations approximation of the tail distribution of total financial losses on a portfolio consisting of many positions. Applications include the total default losses on a bank portfolio, or the total claims against an insurer. The results may be useful in allocating...

This paper provide a large-deviations approximation of the tail distribution of total financial losses on a portfolio consisting of many positions. Applications include the total default losses on a bank portfolio, or the total claims against an insurer. The results may be useful in allocating...

The one-dimensional SDE with non Lipschitz diffusion coefficient $dX_{t} = b(X_{t})dt + \sigma X_{t}^{\gamma} dB_{t}, \ X_{0}=x, \ \gamma1$ is widely studied in mathematical finance. Several works have proposed asymptotic analysis of densities and implied volatilities in models involving...

This submission discusses implications for the quality and safety of financial markets of proposed rules implementing the market-making provisions of section 13 of the Bank Holding Company Act, commonly known as the “Volcker Rule.” The proposed rules1 have been described by the Office of the...

I explain the key failure mechanics of large dealer banks, and some policy implications. This is not a review of the Financial crisis of 2007-2009. Systemic risk is considered only in passing. Both the Financial crisis and the systemic importance of large dealer banks are nevertheless obvious...