This thesis concentrates on FVA computation for interest rate swaps under perfect collateralization and re-hypothecation. It also analyses the effect of FVA computation in a portfolio level. With a Hull-White set-up for interest rate, we are able to compute FVA for single swap and swap...

A heat kernel approach is proposed for the development of a flexible and mathematically tractable asset pricing framework in finite time. The pricing kernel, giving rise to the price system in an incomplete market, is modelled by weighted heat kernels which are driven by multivariate Markov...

We construct models for the pricing and risk management of inflation-linked derivatives. The models are rational in the sense that linear payoffs written on the consumer price index have prices that are rational functions of the state variables. The nominal pricing kernel is constructed in a...