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this article, we have extended the previous studies of collateralized derivative pricing to more generic situation, that is …-linear FBSDE and cannot be solve exactly, the fist order approximation is provided using Gateaux derivative. We have shown that it …
Persistent link: https://www.econbiz.de/10013131969
We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of exotic cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel pricing of long-dated foreign exchange (FX)...
Persistent link: https://www.econbiz.de/10013133913
Given a forwarding LIBOR-style curve F corresponding to a fixed tenor (e.g. 6m) and an exogenous discounting curve D (e.g. an OIS curve or cross-currency basis swap curve) we build on Bianchetti's results to propose dynamics for the forward LIBOR-style rate collateralized by D.In contrast with...
Persistent link: https://www.econbiz.de/10013107666
We present a highly efficient parallelization of the computation of the price of exotic cross-currency interest rate derivatives with path-dependent features via a Partial Differential Equation (PDE) approach. In particular, we focus on the parallel pricing on Graphics Processing Unit (GPU)...
Persistent link: https://www.econbiz.de/10013084747
We discuss efficient pricing methods via a Partial Differential Equation (PDE) approach for long dated foreign exchange (FX) interest rate hybrids under a three-factor multi-currency pricing model with FX volatility skew. The emphasis of the paper is on Power-Reverse Dual-Currency (PRDC) swaps...
Persistent link: https://www.econbiz.de/10013091292
We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel computation of the price of long-dated foreign exchange...
Persistent link: https://www.econbiz.de/10013150451
In this work we want to provide a general principle to evaluate the CVA (Credit Value Adjustment) for a vulnerable option, that is an option subject to some default event, concerning the solvability of the issuer. CVA is needed to evaluate correctly the contract and it is particularly important...
Persistent link: https://www.econbiz.de/10012865678
The two main issues for managing wrong way risk (WWR) for the credit valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we start from a novel model-free worst-case approach based on static hedging of counterparty exposure with liquid options. We say "start from" because...
Persistent link: https://www.econbiz.de/10012986205
We study a novel implementation of the explicit and the implicit Crank-Nicolson (CN) numerical schemes for solving time-dependent Parabolic Partial Differential Equations (PDEs) in one spatial dimension in a variety of applications in computational finance related with the the One-Factor...
Persistent link: https://www.econbiz.de/10013062496
This paper discusses market manipulation schemes on option expiration dates. We show that under ordinary circumstances, writers, but not holders, would have an incentive to manipulate the expiration of standard options, but both are incentivized to manipulate cash-settled options. Using our...
Persistent link: https://www.econbiz.de/10012843837