9 citations · 27 across the 8 of their papers we have counts for
8 papers
Reflected BSDEs and doubly reflected BSDEs driven by RCLL martingales
Tianyang Nie, Marek Rutkowski
We prove some new results on reflected BSDEs and doubly reflected BSDEs driven by a multi-dimensional RCLL martingale. The goal is to develop a general multi-asset framework encomp…
Existence, uniqueness and strict comparison theorems for backward stochastic differential equations driven by RCLL martingales
Tianyang Nie, Marek Rutkowski
Results on the existence, uniqueness and strict comparison for solutions to a BSDE driven by a multi-dimensional RCLL martingale are established. The goal is to develop a general m…
Arbitrage-Free Pricing of Game Options in Nonlinear Markets
Tianyang Nie, Edward Kim, Marek Rutkowski
The goal is to re-examine and extend the findings from the recent paper by Dumitrescu, Quenez and Sulem (2017) who studied game options within the nonlinear arbitrage-free pricing…
Arbitrage-free pricing of American options in nonlinear markets
Edward Kim, Tianyang Nie, Marek Rutkowski
We re-examine and extend the findings from the recent paper by Dumitrescu, Quenez and Sulem (2018) who studied American and game options in a particular market model using the nonl…
A BSDE approach to fair bilateral pricing under endogenous collateralization
Tianyang Nie, Marek Rutkowski
Our previous results are extended to the case of the margin account, which may depend on the contract's value for the hedger and/or the counterparty. The present work generalizes a…
Fair bilateral prices in Bergman's model
Tianyang Nie, Marek Rutkowski
Bielecki and Rutkowski (2014) introduced and studied a generic nonlinear market model, which includes several risky assets, multiple funding accounts and margin accounts. In this p…
BSDEs driven by a multi-dimensional martingale and their applications to market models with funding costs
Tianyang Nie, Marek Rutkowski
We establish some well-posedness and comparison results for BSDEs driven by one- and multi-dimensional martingales. On the one hand, our approach is largely motivated by results an…
Fair and profitable bilateral prices under funding costs and collateralization
Tianyang Nie, Marek Rutkowski
Bielecki and Rutkowski (2014) introduced and studied a generic nonlinear market model, which includes several risky assets, multiple funding accounts and margin accounts. In this p…