We analyze the optimal execution problem of a portfolio manager trading multiple assets. In addition to the liquidity and risk of each individual asset, we consider cross-asset interactions in these two dimensions, which substantially enriches the nature of the problem. Focusing on the market...

We prove a law of large numbers for the loss from default and use it for approximating the distribution of the loss from default in large, potentially heterogenous portfolios. The density of the limiting measure is shown to solve a non-linear stochastic PDE, and certain moments of the limiting...

Collateralized debt obligations, which are are securities with payoffs that are tied to the cash flows in a portfolio of defaultable assets such as corporate bonds, play a significant role in the financial crisis that has spread throughout the world. Insufficient capital provisioning due to...

Credit risk is the distribution of financial loss due to a broken financial agreement, for example failure to pay interest or principal on a loan or bond. It pervades virtually all financial transactions, and therefore plays a significant role in financial markets. A credit derivative is a...

A multi-name credit derivative is a security that is tied to an underlying portfolio of corporate bonds and has payoffs that depend on the loss due to default in the portfolio. The value of a multi-name derivative depends on the distribution of portfolio loss at multiple horizons....

Using data on corporate default experience in the U.S. and market rates of CDX index and tranche swaps of various maturities, we estimate reduced-form models of correlated default timing in the CDX High Yield and Investment Grade portfolios under actual and risk-neutral probabilities. The...

Dynamic reduced form models of portfolio credit risk can be distinguished by the way in which the intensity of the default process is specified. In a bottom up model, the portfolio intensity is an aggregate of the constituent intensities. In a top down model, the portfolio intensity is specified...

This paper develops a formula for a transform of a vector point process with totally inaccessible arrivals. The transform is expressed in terms of a Laplace transform under an equivalent probability measure of the point process compensator. The Laplace transform of the compensator can be...

A credit derivative is a path dependent contingent claim on the aggregate loss in a portfolio of credit sensitive securities. We estimate the value of a credit derivative by Monte Carlo simulation of the affine point process that models the loss. We consider two algorithms that exploit the...

Risk-averse investors in credit sensitive securities such as equity and bonds require compensation for bearing exposure to non-diversifiable corporate default risk. One component of this compensation is an event premium for the abrupt changes in security prices that occur at default. While...