AnalyticHestonEngine





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Creates an Analytic European Heston Engine for pricing vanilla structures (see - Heston, Steven L., 1993.

A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options.

The review of Financial Studies, Volume 6, Issue 2, 327-343).

The string 'Key' resulting from a successful construction of this engine object can be passed to the VanillaOption() function in order to create an VanillaOption object that can be priced via the PrcObjVanillaOption() function.

Be advised that the corresponding stochastic process object that is to be passed to the VanillaOption() function ('stochProcess' parameter) to support this engine has to be a Heston process object ( HestonProcess() or HestonProcess2() ).

In fact the same heston process object passed to this function's 'hestonProcess' parameter should also be passed to the VanillaOption() function.



This function creates an object and returns a string-key value to represent this created object.
The TAG value of the string-key returned (second part of the key) is : "ANAHESENG"



Note: Within Excel, the function is named - CT.ENG.AnalyticHestonEngine




High level graphic of AnalyticHestonEngine() function with parameters. Blue square node is the actual function with the parameters ordered.



Parameter Description


  1. Key parameter

    Key value to use as a handle for the created object
  2. Reload parameter

    When creating this object for the first time, set this parameter to a positive value. Within Excel, when re-computing a worksheet where you do not wish to recreate the object, set this parameter to zero (0).
  3. hestonProcess parameter

    Key to an already constructed Stochastic HestonProcess() or HestonProcess2() object.
  4. integrationOrder parameter

    Integration order parameter.


Extended information

Function Syntax

VB Syntax


String CTEngine.AnalyticHestonEngine( _
String Key, _
Long Reload, _
String hestonProcess, _
Long integrationOrder)


Excel Spreadsheet Syntax


=CT.ENG.AnalyticHestonEngine(
Excel String Cell Key,
Excel Numeric Cell Reload,
Excel String Cell hestonProcess,
Excel Numeric Cell integrationOrder)


C++ Syntax


static std::string AnalyticHestonEngine(
std::string Key,
long Reload,
std::string hestonProcess,
long integrationOrder);


DotNET Syntax


System.String CTEngineSA.AnalyticHestonEngine(
System.String Key,
System.Int32 Reload,
System.String hestonProcess,
System.Int32 integrationOrder);

Parameter data types

ArgNameArgTypeIsKey
KeyStringFALSE
ReloadLongFALSE
hestonProcessStringTRUE
integrationOrderLongFALSE


Example Inputs

The first column represents the name of the parameters. The second column specifies whether the parameters are optional or not. Finally the last column provides some sample input data.
Function call input string-keys are always in the format : "NAME.EXTTAG.TICKER" The "EXTTAG.TICKER" part is determined from the output of other, capetools, object creation functions.


ArgNameIsOptional (Excel only)Example
KeyFALSEMyAnalyticHestonEngine
ReloadFALSE1
hestonProcessFALSEhestonProcessNAME.EXTTAG.TICKER (from a function call)
integrationOrderFALSE64


Example function usage


The C# example below contains all the sub-function calls leading up to this function call. As a result, the example can contain a lot of code.

The VB.NET, J#, C++.NET, Java, Excel VBA, Visual Basic 6 (via COM) and C++ examples below contain function code stubs for the calls leading up to this function call. However, the function call for this function is displayed.
You can easily reproduce the stub functions code from the C# example.


If you are accessing this functrion via the MiniXL libraries, this function is present within the CT.QL.EnginePricing20 MiniXL Excel Addin.

Within our Excel Example Addin Generator, we have used the following QuantTools sub-functions in order to prepare the arguments needed to call the AnalyticHestonEngine() function. If you are executing this function via the MiniXL libraries, the module addin name, (in brackets, to the right of the sub-functions listed below), indicates the MiniXL library in which the sub-function is held. You will need to load this library into your Excel session (along with any other libraries that the sub-function call within the addin requires (ie - CT.QT.Utils20 addin in almost all cases) in order for the example to compute successfully.

These are the financial QuantTools sub-function calls that are used within the examples :





The objects generated by these sub-functions are inter-connected in the following way :




The following four examples demostrate calling this function within a Microsoft .NET environment

The following four examples demostrate calling this function within a non .NET environment

The following is a sample output from executing the AnalyticHestonEngine() function call


MyAnalyticHestonEngine_11.ANAHESENG.0

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