We present and examine, by example of a USD interest rate swap and a EUR/USD cross-currency basis swap, a regression-based Monte Carlo approach to counterparty credit default risk (CCR) capital and CCR capital valuation adjustment (KVA) calculations [assuming the standardized approach to...

Using a continuous time, structural model of a dealer-bank, we derive fair value equations for credit risky financial products that can not be perfectly hedged, fully taking into account the impact the contracts have on the dealer-bank's earnings volatility and, consequently, their solvency and...

The following contains notes proving that absence of arbitrage implies that the value of a cashflow can be written as an expectation of future cash flows in a chosen measure, with a measure specific adjustment

We calculate the PFE of TARFs using both a smile aware Heston model and a smile unaware Garman-Kohlhagen (GK) model. Results show that the FX Heston model tends to produce significantly different PFEs than the GK model, highlighting the importance for a dealer’s global simulation model to...

We analyze the efficiency of the quasi Monte Carlo method (QMC) when used to compute credit valuation adjustment (CVA) and CVA sensitivities for various portfolios of interest rate swaps using a multi-currency extension to the Hull-White model. We find that QMC with Sobol' sequences and the...

We explore simple finite sample adjustments to simulated spot FX rates, zero bonds, forward IBORs and the numeraire to ensure the martingale asset pricing property of linear IR and FX products holds exactly with a finite number of Monte Carlo simulations. The impact on CVA, DVA, and CVA-DVA...

We compare the efficiency of quasi-Monte Carlo (QMC) methods to classical Monte Carlo (MC) method and MC with antithetic sampling in computing credit valuation adjustment (CVA) and CVA sensitivities for various portfolios of interest rate swaps using a multi-currency extension to the Hull-White...

A common shortcut to forecasting initial margin requirements and margin valuation adjustments that are aligned with the International Swaps and Derivatives Association's Standard Initial Margin Model relies on simulating and recalibrating value-at-risk quantiles. Doing so largely avoids costly...

In this paper, a continuous-time, structural model of a dealer-bank is presented to derive fair value equations for credit-risky financial products that are not perfectly hedged. The impact these contracts have on the dealer-bank's earnings volatility, and consequently, their solvency and...

This paper is the second of a multi-part series on the calibration of the one-factor Hull-White short rate model for the purpose of computing CVAs (and xVAs) with an xVA system. The first part introduces an atypical bootstrapping scheme for the calibration of the short rate volatility. The...