Normal

Create Normal pricer object for Cap, Floor, or Swaption instrument using Normal model

Since R2020a

Description

Create and price a Cap, Floor, or Swaption instrument object with a Normal model and a Normal pricing method using this workflow:

1. Use fininstrument to create a Cap, Floor, or Swaption instrument object.

2. Use finmodel to specify a Normal model for the Cap, Floor, or Swaption instrument object.

3. Use finpricer to specify a Normal pricer object for the Cap, Floor, or Swaption instrument object.

   Note

   If you do not specify ProjectionCurve when you create a Cap, Floor, or Swaption instrument with the HullWhite pricer, the ProjectionCurve value defaults to the DiscountCurve value.

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 Cap, Floor, or Swaption instrument, see Choose Instruments, Models, and Pricers.

Creation

Syntax

NormalPricerObj = finpricer(PricerType,'DiscountCurve',ratecurve_obj,'Model',model)

Description

NormalPricerObj = finpricer(PricerType,'DiscountCurve',ratecurve_obj,'Model',model) creates a Normal pricer object by specifying PricerType and the required name-value pair arguments DiscountCurve and Model to set properties using name-value pair arguments. For example, NormalPricerObj = finpricer("Analytic",'DiscountCurve',ratecurve_obj,'Model',NormModel) creates a Normal pricer object.

Input Arguments

PricerType — Pricer type

string with value "Analytic" | character vector with value 'Analytic'

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

Data Types: char | string

Name-Value Arguments

Specify required pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: NormalPricerObj = finpricer("Analytic",'DiscountCurve',ratecurve_obj,'Model',NormModel)

DiscountCurve — ratecurve object for discounting cash flows

ratecurve object

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

Data Types: object

Model — Model

Normal model object

Model, specified as the comma-separated pair consisting of 'Model' and the name of a previously created Normal model object using finmodel.

Data Types: object

Properties

DiscountCurve — ratecurve object for discounting cash flows

ratecurve object

ratecurve object for discounting cash flows, returned as a ratecurve object.

Data Types: object

Model — Model

Normal model object

Model, returned as a Normal model object.

Data Types: object

Object Functions

price

Compute price for interest-rate, equity, or credit derivative instrument with Analytic pricer

Examples

Use Normal Pricer and Normal Model to Price Cap Instrument

This example shows the workflow to price a Cap instrument when you use a Normal model and a Normal pricing method.

Create Cap Instrument Object

Use fininstrument to create a Cap instrument object.

CapOpt = fininstrument("Cap",'Strike',0.02,'Maturity',datetime(2019,6,25),'Reset',4,'Principal',100,'Basis',8,'Name',"cap_option")

CapOpt = 
  Cap with properties:

                      Strike: 0.0200
                    Maturity: 25-Jun-2019
                 ResetOffset: 0
                       Reset: 4
                       Basis: 8
                   Principal: 100
             ProjectionCurve: [0x0 ratecurve]
    DaycountAdjustedCashFlow: 0
       BusinessDayConvention: "actual"
                    Holidays: NaT
                        Name: "cap_option"

Create Normal Model Object

Use finmodel to create a Normal model object.

NormalModel = finmodel("Normal",'Volatility',0.063)

NormalModel = 
  Normal with properties:

    Volatility: 0.0630

Create ratecurve Object

Create a ratecurve object using ratecurve.

Settle = datetime(2018,9,15);
Type = 'zero';
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;
 
myRC = ratecurve('zero',Settle,ZeroDates,ZeroRates)

myRC = 
  ratecurve with properties:

                 Type: "zero"
          Compounding: -1
                Basis: 0
                Dates: [10x1 datetime]
                Rates: [10x1 double]
               Settle: 15-Sep-2018
         InterpMethod: "linear"
    ShortExtrapMethod: "next"
     LongExtrapMethod: "previous"

Create Normal Pricer Object

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

outPricer = finpricer("analytic",'Model',NormalModel,'DiscountCurve',myRC)

outPricer = 
  Normal with properties:

    DiscountCurve: [1x1 ratecurve]
            Shift: 0
            Model: [1x1 finmodel.Normal]

Price Cap Instrument

Use price to compute the price for the Cap instrument.

Price = price(outPricer,CapOpt)

Price = 
0.4828

Version History

Introduced in R2020a