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Credit

Create Credit pricer object for CDS instrument using defprobcurve

Description

Create and price a CDS instrument object with a defprobcurve and a Credit pricing method using this workflow:

  1. Create a default probability curve object using defprobcurve.

  2. Use finpricer to specify a Credit pricer object for the CDS instrument.

For more information on this workflow, see Get Started with Workflows Using Object-Based Framework for Pricing Financial Instruments.

For more information on the available instruments, models, and pricing methods for a CDS instrument, see Choose Instruments, Models, and Pricers.

Creation

Description

example

CreditPricerObj = finpricer(PricerType,'DiscountCurve',ratecurve_obj,'DefaultProbabilityCurve',defprobcurve_object) creates a Credit pricer object by specifying PricerType and the required name-value pair arguments DiscountCurve and DefaultProbabilityCurve to set properties using name-value pairs. For example, CreditPricerObj = finpricer("Credit",'DiscountCurve',ratecurve_obj,'DefaultProbabilityCurve',defprobcurve_obj) creates a Credit pricer object.

Input Arguments

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Pricer type, specified as a string with the value of "Credit" or a character vector with the value of 'Credit'.

Data Types: char | string

Credit Name-Value Pair Arguments

Specify required comma-separated pairs of Name,Value arguments. Name is the argument name and Value is the corresponding value. Name must appear inside quotes. You can specify several name and value pair arguments in any order as Name1,Value1,...,NameN,ValueN.

Example: CreditPricerObj = finpricer("Credit",'DiscountCurve',ratecurve_obj,'DefaultProbabilityCurve',defprobcurve_obj)

ratecurve object for discounting cash flows, specified as the comma-separated pair consisting of 'DiscountCurve' and the name of the previously created ratecurve object

Data Types: object

Default probability curve, specified as the comma-separated pair consisting of 'DefaultProbabilityCurve' and the name of a previously created defprobcurve object.

Data Types: object

Properties

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ratecurve object for discounting cash flows, returned as the ratecurve object

Data Types: object

Default probability curve, returned as a defprobcurve object.

Data Types: object

Object Functions

priceCompute price for credit derivative instrument with Credit pricer

Examples

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This example shows the workflow to price a CDS instrument when you use a defprobcurve model and a Credit pricing method.

Create CDS Instrument Object

Use fininstrument to create a CDS instrument object.

CDS = fininstrument("cds",'Maturity',datetime(2027,9,20),'ContractSpread', 50,'Name',"CDS_instrument")
CDS = 
  CDS with properties:

           ContractSpread: 50
                 Maturity: 20-Sep-2027
                   Period: 4
                    Basis: 2
             RecoveryRate: 0.4000
    BusinessDayConvention: "actual"
                 Holidays: NaT
        PayAccruedPremium: 1
                 Notional: 10000000
                     Name: "CDS_instrument"

Create defprobcurve Object

Create a defprobcurve object using defprobcurve.

Settle = datetime(2017, 9, 20);
DefProbTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])];
DefaultProbabilities = [0.005 0.007 0.01 0.015 0.026 0.04 0.077 0.093 0.15 0.20]';
ProbDates = Settle + DefProbTimes;
DefaultProbCurve = defprobcurve(Settle,ProbDates,DefaultProbabilities)
DefaultProbCurve = 
  defprobcurve with properties:

                  Settle: 20-Sep-2017
                   Basis: 2
                   Dates: [10x1 datetime]
    DefaultProbabilities: [10x1 double]

Create ratecurve Object

Create a ratecurve object using ratecurve.

ZeroTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])];
ZeroRates = [0.0052 0.0055 0.0061 0.0073 0.0094 0.0119 0.0168 0.0222 0.0293 0.0307]';
ZeroDates = Settle + ZeroTimes;
ZeroCurve = ratecurve("zero",Settle,ZeroDates,ZeroRates)
ZeroCurve = 
  ratecurve with properties:

                 Type: "zero"
          Compounding: -1
                Basis: 0
                Dates: [10x1 datetime]
                Rates: [10x1 double]
               Settle: 20-Sep-2017
         InterpMethod: "linear"
    ShortExtrapMethod: "next"
     LongExtrapMethod: "previous"

Create Credit Pricer Object

Use finpricer to create a Credit pricer object and use the ratecurve object for the 'DiscountCurve' name-value pair argument.

CDSpricer = finpricer("credit",'DiscountCurve',ZeroCurve,'DefaultProbabilityCurve',DefaultProbCurve)
CDSpricer = 
  Credit with properties:

              DiscountCurve: [1x1 ratecurve]
                   TimeStep: 10
    DefaultProbabilityCurve: [1x1 defprobcurve]

Price CDS Instrument

Use price to compute the price for the CDS instrument.

outPrice = price(CDSpricer, CDS)
outPrice = 6.9363e+04
Introduced in R2020a