Description: This paper examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore the pricing of catastrophe risk bonds requires an incomplete markets setting and this creates special difficulties in the pricing methodology. The paper briefly discusses the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.

Description: This is the abstract of a paper that considers a general two-country model of exchange rate dynamics in which interest rates are stochastic. Special cases of this model are also illustrated in which the, interest rates are constant in each country and when interest rates are Gaussian in each country. This model provides an important tool for actuaries dealing with global risk which includes valuation of currency derivatives [forwards, futures, options and swaps], frequency/severity claims model with exchange rate risk in the claim size, valuation of individual insurance contracts written in foreign currency, and valuation of general interest sensitive claims in foreign currency.

Description: In this paper we discuss the link between the price of a contingent claim and its replicating strategies. We compute the replicating strategies for some contingent claims when the price of stocks are modeled using either the Wiener process or the Poisson process. These replicating strategies are essential knowledge if one wishes to implement a dynamic trading strategy.