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Fixed Income Analytics, Portfolio Construction Analytics, Transaction Cost Analytics, Counter Party Analytics, Asset Backed Analytics

Home Page: https://lakshmidrip.github.io/DROP/

License: Apache License 2.0

HTML 56.08% JavaScript 0.04% Java 43.86% CSS 0.02% Shell 0.01%
asset-allocation asset-backed bond corporates counterparty-risk credit-risk cva-dva-fva-kva-xva emerging-market fixed-income fx inflation-linked interest-rates java loans market-risk municipals portfolio-optimization statistical-learning transaction-cost-analytics treasury

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drop's Issues

XVA Set Counter Party Group Specification

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 Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (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 Risk 21 (2) 97-102

XVA Universe Market Vertex

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 Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

XVA Universe Entity Market Vertex

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 Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk21 (2) 97-102

XVA Universe Market Vertex Generator

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 Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

XVA PDE Parabolic Differential Operator

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

Analytics Cash Flow Composable Unit Floating Period

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.

XVA Set Collateral Group Specification

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 Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (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 Risk 21 (2) 97-102

Analytics DayCount DateEOMAdjustment

DateEOMAdjustment holds the applicable adjustments for a given date pair. It exposes the following functionality:

  • Static Methods for creating 30/360, 30/365, and EOMA Date Adjustments
  • Export Anterior and Posterior EOM Adjustments

Analytics DayCount ActActDCParams

ActActDCParams contains parameters to represent Act/Act day count. It exports the following functionality:

  • Frequency/Start/End Date Fields
  • Serialization/De-serialization to and from Byte Arrays

Analytics Cash Flow Bullet

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.

XVA Universe Tradeables Container

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:

  • Albanese, C., and L. Andersen (2014): Accounting for OTC Derivatives: Funding Adjustments and the Re-Hypothecation Option eSSRN https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2482955

  • Burgard, C., and M. Kjaer (2013): Funding Costs, Funding Strategies Risk 23 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Burgard, C., and M. Kjaer (2017): Derivatives Funding, Netting, and Accounting eSSRN
    https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2534011.

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

XVA PDE Burgard Kjaer Operator

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

Analytics Date DateUtil

DateUtil contains Various Utilities for manipulating Date. The Julian Date - Gregorian Date Inter Conversion follows the following References:

XVA Universe Vertex Date Builder

VertexDateBuilder exports Static Functions that create Vertex Dates using different Schemes. The References are:

  • Burgard, C., and M. Kjaer (2013): Funding Strategies, Funding Costs Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

XVA PDE Burgard Kjaer Edge

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

XVA Universe Latent State Market Vertex

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 Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

Analytics Date DateTime

DateTime provides the representation of the instantiation-time date and time objects. It provides the following functionality:

  • Instantiation-time and Explicit Date/Time Construction
  • Retrieval of Date/Time Fields
  • Serialization/De-serialization to and from Byte Arrays

XVA Universe Market Path

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 Risk 24 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): PDE Representations of Derivatives with Bilateral Counter-party Risk and Funding Costs Journal of Credit Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (2) 86-90

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

XVA Universe Equity

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 Risk 7 (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 Risk 20 (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
    Risk 21 (2) 97-102

XVA PDE Trajectory Evolution Scheme

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

XVA Set Roll Up Group Specification

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 Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (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 Risk 21 (2) 97-102

XVA Universe Tradeable

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

Analytics Cash Flow Composite Period

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.

XVA Universe Market Edge

MarketEdge holds the Vertex Realizations of the Market States of the Reference Universe along an Evolution Edge. The References are:

  • Albanese, C., and L. Andersen (2014): Accounting for OTC Derivatives: Funding Adjustments and the Re-Hypothecation Option eSSRN https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2482955

  • Burgard, C., and M. Kjaer (2013): Funding Costs, Funding Strategies Risk 23 (12) 82-87

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Burgard, C., and M. Kjaer (2017): Derivatives Funding, Netting, and Accountingb eSSRN https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2534011

  • Piterbarg, V. (2010): Funding Beyond Discounting: Collateral Agreements and Derivatives Pricing Risk 21 (2) 97-102

Analytics DayCount Convention

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.

XVA Set Netting Group Specification

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 Risk 7 (3) 1-19

  • Burgard, C., and M. Kjaer (2014): In the Balance Risk 24 (11) 72-75

  • Gregory, J. (2009): Being Two-faced over Counter-party Credit Risk Risk 20 (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 Risk 21 (2) 97-102

Analytics Cash Flow Loss Quadrature Metrics

LossPeriodCurveFactors is an Implementation of the Period Class enhanced by the Loss Period Measures. It exports the following Functionality:

  • Start/End Survival Probabilities
  • Period Effective Notional/Recovery/Discount Factor
  • Serialization into and De-serialization out of Byte Arrays

Analytics Date JulianDate

JulianDate provides a comprehensive representation of Julian date and date manipulation functionality. It exports the following functionality:

  • Explicit date construction, as well as date construction from several input string formats/today
  • Date Addition/Adjustment/Elapsed/Difference, add/subtract days/weeks/months/years and tenor codes
  • Leap Year Functionality (number of leap days in the given interval, is the given year a leap year etc.)
  • Generate the subsequent IMM date (CME IMM date, CDS/Credit ISDA IMM date etc)
  • Year/Month/Day in numbers/characters
  • Days Elapsed/Remaining, is EOM
  • Comparison with the Other, equals/hash-code/comparator
  • Export the date to a variety of date formats (Oracle, Julian, Bloomberg)
  • Serialization/De-serialization to and from Byte Arrays

Analytics DayCount DateAdjustParams

DateAdjustParams contains the parameters needed for adjusting dates. It exports the following functionality:

  • Accessor for holiday calendar and adjustment type
  • Serialization/De-serialization to and from Byte Arrays

XVA PDE Burgard Kjaer Edge Run

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

Analytics Cash Flow Composable Unit Fixed Period

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.

XVA PDE Burgard Kjaer Edge Attribution

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 Risk 7 (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 Risk 20 (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 Risk 21 (2) 97-102

Analytics Cash Flow Composable Unit 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.

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