We study power exchange options written on zero-coupon bonds under a stochastic string term-structure framework. Closed-form expressions for pricing and hedging bond power exchange options are obtained and, as particular cases, the corresponding expressions for call power options and constant...

Mortality improvements and life expectancies have been increasing in recent decades, leading to growing interest in understanding mortality risk and longevity risk. Studies of mortality forecasting are of interest among actuaries and demographers because mortality forecasting can quantify...

We extend the valuation of contingent claims in presence of default, collateral and funding to a random functional setting and characterise pre-default value processes by martingales. Pre-default value semimartingales can also be described by BSDEs with random path-dependent coefficients and...

We consider the problem of using risk-return analysis tools in investment decisions. According to cumulative prospect theory, people make decisions based on an S-shaped value function. This means that the risk-return analysis tools that are derived from expected utility theory, may inconsistent...

The main assumption of the vanna-volga method is the existence of a flat but stochastic implied volatility for the pricing of vanilla options. Even though `flat but stochastic' appears to be self-contradictory, it is to an extent justified on empirical grounds. In this short note we argue that...

This supplementary material for "Asymptotics for the Survival Probability of Time-Inhomogeneous Diffusion Processes" contains (i) some facts related to the normal density and distribution functions (Section 1), which are used in the calculation of explicit formulas in Equation (19) (Section 2);...