CounterPartyGroupSpecification contains the Specifications of a Counter Party Group. The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
MarketVertex holds the Market Realizations at a Market Trajectory Vertex needed for computing the Valuation Adjustment. The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
EntityMarketVertex holds the Realizations at a Market Trajectory Vertex of the given Entity (i.e., Bank/Counter Party). The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
MarketVertexGenerator generates the Market Realizations at a Trajectory Vertex needed for computing the Valuation Adjustment. The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
ParabolicDifferentialOperator sets up the Parabolic Differential Equation based on the Ito Evolution Differential for the Reference Underlier Asset, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
ComposableUnitFloatingPeriod contains the Cash Flow Periods' Composable Period Details. Currently it holds the Accrual Start Date, the Accrual End Date, the Fixing Date, the Spread over the Index, and the corresponding Reference Index Period.
CollateralGroupSpecification contains the Specifications of a Collateral Group. The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
Bullet is designed to hold the Point Realizations of the Latent States relevant to Terminal Valuation of a Bullet Cash Flow. Current it contains the Period Dates, Period Latent State Identifiers, and the "Extensive" Fields.
TradeablesContainer describes the Economy with the following Traded Assets - the Overnight Index
Numeraire, the Collateral Scheme Numeraire, the Default-able Bank Bond Numeraire, the Array of
Default-able Counter-party Numeraires, and an Asset that follows Brownian Motion. The References are:
BurgardKjaerOperator sets up the Parabolic Differential Equation PDE based on the Ito Evolution Differential for the Reference Underlier Asset, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
VertexDateBuilder exports Static Functions that create Vertex Dates using different Schemes. The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
BurgardKjaerEdge holds the Underlier Stochastic and the Credit Risk Free Components of the XVA Derivative Value Growth, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
LatentStateMarketVertex holds the Epochal and the Nodal Latent State Realizations at a Market Trajectory Vertex needed for computing the Valuation Adjustment. The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
MarketPath holds the Vertex Market Realizations at the Trajectory Vertexes along the Path of a Simulation. The References are:
Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk24 (12) 82-87
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
Equity describes a Tradeable Equity. The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter Party Risk
and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing,
and Hedging Counter-party Credit Exposure - A Technical Guide Springer Finance New York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the
Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific Publishing Singapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
TrajectoryEvolutionScheme holds the Evolution Edges of a Trajectory evolved in a Dynamically Adaptive Manner, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
RollUpGroupSpecification contains the Specifications of a Roll Up Group. The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
Tradeable holds Definitions and Parameters that specify a Tradeable Entity in XVA Terms. The References
are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19.
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific Publishing Singapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
CompositePeriod implements the Composite Coupon Period Functionality. It contains the Composite Period Coupon Frequency, Tenor, Accrual Compounding Rule, Day Count, Base Notional, Coupon/Notional Schedules, Pay Currency, Credit Label, FX Fixing Setting, and the List of Composable Period Units.
Convention contains flags that indicate where the holidays are loaded from, as well as the holiday types and load rules. It exports the following date related functionality:
Add business days according to the specified calendar
The Year Fraction between any 2 days given the day count type and the holiday calendar
Adjust/roll to the next working day according to the adjustment rule
Holiday Functions - is the given day a holiday/business day, the number and the set of holidays/business days between 2 days.
Calendars and Day counts - Available set of day count conventions and calendars, and the weekend days corresponding to a given calendar.
NettingGroupSpecification contains the Specification of a Netting Group. The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Burgard, C., and M. Kjaer (2014): In the Balance Risk24 (11) 72-75
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
CompositeFloatingPeriod implements the Composite Floating Coupon Period Functionality. It customizes the Period Quote Set and the Basis Quote for the Floating Period.
BurgardKjaerEdgeRun collects the Results of the Burgard Kjaer PDE based on the Risk-Neutral Ito Evolution of the Derivative, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
ReferenceIndexPeriod contains the Cash Flow Period Details. Currently it holds the Start Date, the End Date, the Fixing Date, and the Reference Latent State Label.
ComposableUnitFixedPeriod represents the Fixed Cash Flow Periods' Composable Period Details. Currently it holds the Accrual Start Date, the Accrual End Date, the Fixed Coupon, the Basis Spread, the Coupon Rate, and the Accrual Day Counts, as well as the EOM Adjustment Flags.
BurgardKjaerEdgeAttribution collects the Attribution Components of the Burgard Kjaer PDE based on the Risk-Neutral Ito Evolution of the Derivative, as laid out in Burgard and Kjaer (2014). The References are:
Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk7 (3) 1-19
Cesari, G., J. Aquilina, N. Charpillon, X. Filipovic, G. Lee, and L. Manda (2009): Modeling, Pricing, and Hedging Counter-party Credit Exposure - A Technical Guide Springer FinanceNew York
Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk20 (2) 86-90
Li, B., and Y. Tang (2007): Quantitative Analysis, Derivatives Modeling, and Trading Strategies in the Presence of Counter-party Credit Risk for the Fixed Income Market World Scientific PublishingSingapore
Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102
CompositeFixedPeriod implements the composed fixed coupon period functionality. It customizes the Period Quote Set and the Basis Quote for the Fixed Period.
ComposableUnitPeriod represents the Cash Flow Periods' Composable Unit Period Details. Currently it holds the Accrual Start Date, the Accrual End Date, the Fixed Coupon, the Basis Spread, the Coupon and the Accrual Day Counts, as well as the EOM Adjustment Flags.