CreateCompAmortIALeg





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This floating leg (or FRN) compounds a number of fixings within a paying coupon period.

For example you may have a 10 year leg, with 1 year floating coupons.

Each computed floating rate (fixing value) is valued as four (three monthly) rate fixing being compounded.

You can provide a value for the compounded spread, which will be added to the computed compounded fixing value.

The regular spread value (entered via the 'Margin' parameter is added to the fixing rates used during the compounded calculation).

The Index must be a multiple of the coupon payment period.

Creates an amortising floating in-arrears rate leg.

rates are fixed at the end of the period.

This function requires the input of an amortisation object key, which must have been produced via a call to the CreateAmortObj() function.

This function would have returned a string 'KEY' which is to be passed to the 'AmortKey' parameter of this function.

If you pass in a Swap Index instead of a Libor Index, the swap rate fixing will be adjusted for the unnatural payments via a constant maturity swap adjustment calculation.

This leg object can either be priced directly via the PrcLegObject() function or you can use this leg within the Swap2() or SwapFLTFLT3() functions in order to construct the details of one side of a swap structure.

Finally there are numerous querying functions that can be applied to this leg (within the CapeTools Query Legs category of functions).

This function requires the input of a Schedule object key, which must have been produced via a call to one of the following functions : MakeSchedule() or MakeSchedule2(). These functions would have returned a string 'KEY' which is to be passed to the 'ScheduleKey' parameter of this function.

This function requires the input of an Index object key, which must have been produced via a call to one of the Index creation functions present within the CapeTools Indexes category of functions.

You can also execute the CreateSwapIndex(), IDXEURSwap(), IDXGBPSwap(), IDXJPYSwap(), IDXCHFSwap() or IDXUSDSwap() function in order to price a constant maturity swap leg, a CMS convexity adjustment will be applied to rate.

These functions would have returned a string 'KEY' which is to be passed to the 'IndexKey' parameter of this function.

This function requires the input of an optional FXVolCurve object key, which must have been produced via a call to the FlatVolCurve() or VectorVolCurve() functions.

These functions would have returned a string 'KEY' which is to be passed to the 'FXVolCurve' parameter of this function.

This function requires the input of an optional VOLFX correlation object key, which must have been produced via a call to the FlatVolFXCorr(), VectorVolFXCorr() or VolFXCorrMatrix() functions.

These functions would have returned a string 'KEY' which is to be passed to the 'FXCorr' parameter of this function.

The latter two 'key' values are used for various convexity or Quanto adjustments that may be needed.

Please refer to the large number of enumeration functions present within the CapeTools Enums category of functions.

The CapeTools Enums category of functions return correct string codes that can be passed to parameters taking fixed string values defined by the library (ie - DayCount codes, frequency codes, currency codes, compounding codes, business day convention codes etc...).

You can thus execute these enumeration functions which return the proper code, instead of trying to remember the string code needed or making spelling mistakes which can be difficult to debug.



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 : "COMPAIALEG"



Note: Within Excel, the function is named - CT.LEG.CreateCompAmortIALeg




High level graphic of CreateCompAmortIALeg() 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. PayRec parameter

    Whether you would like to PAY or REC this leg.
  4. Gearing parameter

    A positive factor value you wish to multiply the Floating-Reset Rate/Fixed-Coupon Rate by (Usually 1). If you want to simply double the value of the leg, modify the Notional value. For floating legs, if we denote 'M' as a margin/spread, 'G' as the gearing and 'L' as the fixing rate, the gearing will be applied as following : 'G*L+M'. For fixed rate legs, if we denote 'C' as the coupon rate and 'G' as the gearing, then the gearing value will be applied as 'G*C' which is, in effect, the same as doubling the value of the leg.
  5. AmortKey parameter

    Key to an already generated amortisation object.
  6. Ccy parameter

    Currency of the Notional amount.
  7. BusDayConv parameter

    Payment Business Day Convention. Treatment of date calculations for (discounting).
  8. DayCount parameter

    Payment DayCounter. Used for the calculation of year periods regarding payment (discounting).
  9. IndexKey parameter

    KEY to an already constructed Index object. This index contains the fixing (reset) curve and should be a multiple of the coupon period (ie - if the coupon period is 6M, this Index can either be 1M, 2M, 3M or 6M).
  10. Margin parameter

    Margin above or below a reset (fixing) rate. This margin is not added to the final compounded fixing value.
  11. CompSpread parameter

    Spread (Margin) above or below the compounded rate. This will be added to the final compounded fixing value (not the individual fixings used to derive the compounded rate).
  12. ExchangePrincipal parameter

    Whether you wish to exchange the principal amount(s) at the start and termination of the leg contract.
  13. MKTKey parameter

    Key to an already constructed MKT object that contains at least a discounting curve. The VolCurve should be present if pricing CMS or In-Arrear legs, deals. The curves contained within this object should all be of the same Currency of which must equal the value of the 'Ccy' parameter of this function.


Extended information

Function Syntax

VB Syntax


String CTCompLegs.CreateCompAmortIALeg( _
String Key, _
Long Reload, _
PAYRECEnum PayRec, _
Long Gearing, _
String AmortKey, _
CCYEnum Ccy, _
BDCEnum BusDayConv, _
DayCountEnum DayCount, _
String IndexKey, _
Double Margin, _
Variant CompSpread, _
Boolean ExchangePrincipal, _
String MKTKey)


Excel Spreadsheet Syntax


=CT.LEG.CreateCompAmortIALeg(
Excel String Cell Key,
Excel Numeric Cell Reload,
Excel String Cell PayRec,
Excel Numeric Cell Gearing,
Excel String Cell AmortKey,
Excel String Cell Ccy,
Excel String Cell BusDayConv,
Excel String Cell DayCount,
Excel String Cell IndexKey,
Excel Numeric Cell Margin,
XLRange CompSpread,
Excel Boolean Value Cell ExchangePrincipal,
Excel String Cell MKTKey)


C++ Syntax


static std::string CreateCompAmortIALeg(
std::string Key,
long Reload,
PAYRECEnum PayRec,
long Gearing,
std::string AmortKey,
CCYEnum Ccy,
BDCEnum BusDayConv,
DayCountEnum DayCount,
std::string IndexKey,
double Margin,
CTRangeDataCPP CompSpread,
bool ExchangePrincipal,
std::string MKTKey);


DotNET Syntax


System.String CTCompLegsSA.CreateCompAmortIALeg(
System.String Key,
System.Int32 Reload,
CTIEnums.PAYRECEnum PayRec,
System.Int32 Gearing,
System.String AmortKey,
CTIEnums.CCYEnum Ccy,
CTIEnums.BDCEnum BusDayConv,
CTIEnums.DayCountEnum DayCount,
System.String IndexKey,
System.Double Margin,
CTRangeData CompSpread,
System.Boolean ExchangePrincipal,
System.String MKTKey);

Parameter data types

ArgNameArgTypeIsKey
KeyStringFALSE
ReloadLongFALSE
PayRecPAYRECEnumFALSE
GearingLongFALSE
AmortKeyStringTRUE
CcyCCYEnumFALSE
BusDayConvBDCEnumFALSE
DayCountDayCountEnumFALSE
IndexKeyStringTRUE
MarginDoubleFALSE
CompSpreadRangeFALSE
ExchangePrincipalBooleanFALSE
MKTKeyStringTRUE


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
KeyFALSEMyCreateCompAmortIALeg
ReloadFALSE1
PayRecFALSEREC
GearingFALSE1
AmortKeyFALSEAmortKeyNAME.EXTTAG.TICKER (from a function call)
CcyFALSEEUR
BusDayConvFALSEModifiedFollowing
DayCountFALSEACT365
IndexKeyFALSEIndexKeyNAME.EXTTAG.TICKER (from a function call)
MarginTRUE0.0001
CompSpreadTRUECreateCompAmortIALeg_CompSpread_Range (creates a range object)
ExchangePrincipalFALSEfalse
MKTKeyFALSEMKTKeyNAME.EXTTAG.TICKER (from a function call)


Example range for parameter : CompSpread

Within Excel, a range such as this can be passed directly into the CompSpread parameter.


Data is stored within the second column (Vector of data)..

Example C# API usage for setting the range data for parameter : CompSpread



CTQL.CTRangeData CreateCompAmortIALeg_CompSpread;


double[] arrBCreateCompAmortIALeg_CompSpread = {
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002,
0.0002  //  Array Data

};

CTQL.DoubleVector arrCreateCompAmortIALeg_CompSpread =
new  CTQL.DoubleVector(arrBCreateCompAmortIALeg_CompSpread);

// Second parameter determines whether the array is a column array (false) or a row array (true)
CreateCompAmortIALeg_CompSpread = new  CTQL.CTRangeData(arrCreateCompAmortIALeg_CompSpread, false);



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.IRLegs20 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 CreateCompAmortIALeg() 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 CreateCompAmortIALeg() function call


MyCreateCompAmortIALeg_6.COMPAIALEG.0

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