AdjustBarrier





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All barrier options pricing formulas assumes continuous monitoring of the barrier.

In practice, the barrier is normally monitored only at discrete points in time.

Broadie, Glasserman, and Kou (1995) have developed an approximation for a continuity correction for discrete barrier option pricing formulas.

To price any discrete barrier option, it is only necessary to replace the continuously monitored barrier H in the continuous barrier options formula with a discrete barrier level.

This function will compute the new discrete barrier level for you.



Note: Within Excel, the function is named - CT.UTIL.AdjustBarrier




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



Parameter Description


  1. Underlying parameter

    Underlying price
  2. Barrier parameter

    Continuous Barrier level
  3. Vol parameter

    Volatility of the underlying.
  4. AdjustFreq parameter

    Monitoring frequency that you wish the continuous barrier level value entered to have. (Basically will convert the barrier from continuous to discrete. If you choose 'Continuously', the barrier will still be a Continuous barrier). Valid values are : Continuously, Hourly, Daily, Weekly or Monthly.


Extended information

Function Syntax

VB Syntax


Double CTUtils.AdjustBarrier( _
Double Underlying, _
Double Barrier, _
Double Vol, _
String AdjustFreq)


Excel Spreadsheet Syntax


=CT.UTIL.AdjustBarrier(
Excel Numeric Cell Underlying,
Excel Numeric Cell Barrier,
Excel Numeric Cell Vol,
Excel String Cell AdjustFreq)


C++ Syntax


static double AdjustBarrier(
double Underlying,
double Barrier,
double Vol,
std::string AdjustFreq);


DotNET Syntax


System.Double CTUtilsSA.AdjustBarrier(
System.Double Underlying,
System.Double Barrier,
System.Double Vol,
System.String AdjustFreq);

Parameter data types

ArgNameArgTypeIsKey
UnderlyingDoubleFALSE
BarrierDoubleFALSE
VolDoubleFALSE
AdjustFreqStringFALSE


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
UnderlyingFALSE100
BarrierFALSE115
VolFALSE0.2
AdjustFreqFALSEDaily


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.Utils20 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 AdjustBarrier() 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.


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 AdjustBarrier() function call


115.703520770973

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