Sunday, December 9, 2018

Risk neutral measure for jump processes


Assume we model the dynamics of a tradable asset as follows St=S0exp[σWt+(αβλ12σ2)t+Jt]

where Wt is a standard Brownian motion independent from Jt=Nti=1Yi a compound Poisson process.


What conditions should α and β verify for this dynamics to be a valid risk-neutral dynamics?




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