The structure of a typical rainfall insurance is complex; insurance payoffs are based on many parameters such as the rainfall volume, the rainfall distribution (the number of consecutive dry days), the number of days with excess rainfall etc. Such a complex insurance structure is essential to...

Securitization of the rainfall risk involves pooling of the rainfall contingent insurance policies to issue financial instruments in the capital markets to transfer the rainfall risk from the insurers to the investors. Low income households, especially in the developing countries like India...

Low income households, especially in the developing countries could suffer losses due to weather related events such as drought, hurricanes, floods etc. Such losses could cast a household into a chronic poverty cycle - a poverty trap from which the household may find it difficult to re-emerge....

Developing a liquid longevity market requires reliable and well-designed financial instruments. An index-based longevity swap and a cap are analyzed in this paper under a tractable stochastic mortality model. The model is calibrated using Australian mortality data and analytical formulas for...

A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

Compound options are options for which the underlying is another option. In other words, a compound option is an option written on an option. In this paper, we present two new approaches to compound option pricing. The first approach relies on Malliavin calculus methods and the Clark-Ocone...

We derive risk-neutral option price formulas for plain-vanilla temperature futures derivatives on the basis of several multi-factor Ornstein-Uhlenbeck temperature models which allow for seasonality in the mean level and volatility. Our main innovation consists in an incorporation of omnipresent...

A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

The price of a European option can be computed as the expected value of the payoff function under the risk-neutral measure. For American options and path-dependent options in general, this principle cannot be applied. In this paper, we derive a model-free analytical formula for the implied...