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Itovsn3

Guides

  • Main

Tech Notes

  • Bessel
  • BlackScholes
  • ItoArea
  • MardiaDryden
  • Reflect
  • Stochastic Integration

Symbols

  • AddDrift
  • AddFixed
  • AddQuadVar
  • Brktbydt
  • BrownBasis
  • BrownSingle
  • BSDQ
  • Drftbydt
  • Drift
  • Fixed
  • GetItoProc
  • InitialValue
  • Introduce
  • ItoD
  • ItoExpand
  • ItoInit
  • ItoIntegral
  • ItoReset
  • Itosde
  • ItoStatus
  • RandomQ
FernandoDuarte`Itovsn3`
ItoExpand
​
ItoExpand
[
sd
] computes simplification of the stochastic differential products in
sd
.
​
Examples  
(1)
Basic Examples  
(1)
Delete any existing definitions and initialize:
In[1]:=
ItoReset
[t,dt]
Out[1]//TableForm=
Itovsn3 resetting ...
Itovsn3 initialized
with time semimartingale t
and time differential dt
Introduce a Brownian motion:
In[2]:=
BrownSingle
[B,0]
Out[2]=
0
Introduce two semimartingales via
Itosde
:
In[3]:=
Itosde
[X,dXBdt-dB,X0]
In[4]:=
Itosde
[Y,dYYdt-XdB,Y0]
Ito differentials do not automatically expand:
In[5]:=
2
dX
Out[5]=
2
dX
In[6]:=
dXdY
Out[6]=
dXdY
Expand them:
In[7]:=
ItoExpand
[
2
dX
]
Out[7]=
dt
In[8]:=
ItoExpand
[
2
dY
]
Out[8]=
dt
2
X
SeeAlso
Drift
 
▪
ItoD
 
▪
ItoIntegral
 
▪
Itosde
RelatedGuides
▪
Main
""

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