Quantitative Analysis.
Trading Platform.
Python for Excel.
Author.

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I.Basic math.
II.Pricing and Hedging.
1.Basics of derivative pricing I.
2.Change of numeraire.
A.Definition of the change of numeraire.
B.Useful calculation.
C.Transformation of SDE based on change of measure results.
D.Transformation of SDE in a two asset situation.
E.Transformation of SDE based on term matching.
F.Invariant representation for the drift modification.
G.Transformation of SDE based on delta hedging.
H.Example. Change of numeraire in the Black-Scholes economy.
I.Other ways to look at the change of numeraire.
3.Basics of derivative pricing II.
4.Market model.
5.Currency Exchange.
6.Credit risk.
7.Incomplete markets.
III.Explicit techniques.
IV.Data Analysis.
V.Implementation tools.
VI.Basic Math II.
VII.Implementation tools II.
Bibliography.
Forum Notation Index Contents

Transformation of SDE based on change of measure results.


reviously ( General change of Brownian motion) we calculated that for the generic change of measure MATH the Brownian motions $dW_{t}$ of the original measure and the $d\tilde{W}$ of the new measure are connected by the equalityMATH where the $\sigma_{a}$ comes from the SDEMATH According to the formula ( Change of numeraire kernel) the change of numeraire the process $a\left( t\right) $ is given by the expressionMATH Hence,MATH Therefore,

MATH(Change of Brownian motion)





Forum Notation Index Contents


















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