Description: This paper is about an Interacting Particle System [IPS] approach to modeling treatment costs associated with a multiple stage pandemic. The model population receives differing treatments with possibly differing costs depending on the stage of exposure/infection. The total cost of treatment is a time varying utility function of the ensemble population for which this approach uses particle system methods to simulate the cost of maintaining survival of the population. The paper gives a brief background on particle systems with specific focus on 'the contact process', followed by expanding the contact process to represent more realistic state transitions.

Description: This research report addresses two purposes: [1] to incorporate phase transitions into a copula framework, and [2] to calculate the probability of defaulting in the context of a portfolio of correlated mortgages when a contagion effect exists. Understanding and measuring the effects that contagion has on the probability of defaulting, for both single assets and portfolios of assets, are crucial to collateralized debt obligation [CDO] markets.

Description: A research report that examines modeling of cash flow associated within a pool of mortgages and specifically focusing on the effectiveness of infusing a limited amount of capital into the pool.