We provide solution formulas for (linear and non-linear) jump-diffusion backward stochastic differential equations (BSDEs) under diverse enlarged filtration approaches. We also derive a comparison theorem for BSDEs in an enlarged filtration framework and present several applications of our...

We investigate the pricing of temperature derivatives under weather forecasts modeled by enlarged filtrations. We also treat option pricing and optimal portfolio selection in temperature markets with future information. We finally prove an anticipative sufficient stochastic minimum principle and...

We present a new multi-factor short rate model which is bounded from below by a real-valued function of time. The mean-reverting short rate process is modeled by a sum of pure-jump Ornstein-Uhlenbeck processes such that the related bond price possesses an affine representation. We also provide...

We prove an anticipative sufficient stochastic minimum principle in a jump process setup with initially enlarged filtrations. We apply the result to several portfolio selection problems like mean and minimal variance hedging under enlarged filtrations. We also investigate utility maximizing...

We investigate the pricing of cliquet options in a geometric Meixner model. The considered option is of monthly sum cap style while the underlying stock price model is driven by a pure-jump Meixner-Lévy process yielding Meixner distributed log-returns. In this setting, we infer semi-analytic...

We propose an innovative multi-curve model involving interest rates and (ordered) spreads which are modeled by arithmetic martingale processes being larger than some arbitrarily chosen constant. Under our mean-reverting pure-jump approach, we derive tractable martingale representations for the...

We propose a mean-reverting electricity spot price model of arithmetic jump-diffusion type yielding positive prices. Based on this approach, we derive the corresponding forward and futures price representations. We further discuss different choices for the stochastic mean level process and...

We propose a pure jump precipitation model embedded in an enlarged filtration framework accounting for weather forecasts. Under different anticipative approaches, we define precipitation swap/futures prices and also introduce the notion of an ‘information premium'. In contrast to other models...

We derive utility maximizing portfolios and consumption rates in electricity futures markets under anticipative information modeled by enlarged filtrations. The emerging optimization exercises are solved by point-wise maximization and a sufficient stochastic maximum principle. We provide...

We investigate the pricing of cliquet options in a jump-diffusion model. The considered option is of monthly sum cap style while the underlying stock price model is driven by a drifted Lévy process entailing a Brownian diffusion component as well as compound Poisson jumps. We also derive...