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zizou027
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Joined: December 5th, 2006, 2:17 pm

What's the condition for the existence of EMM in Heston Model(or in all the stoch.vola model)

March 16th, 2007, 12:45 am

Hallo,everybody.I'm a beginner in financial engineering and i have a question regarding to the Heston Model. The heston model has such a form: dS_t=\mu_t S_t dt+\sigma_t S_t dW_t^{1} d \sigma_t^2=(\alpha - \beta \sigma_t^{2}) dt+ \gamma \sigma_t dW_t^{2} with (W_t^{1})_t,(W_t^{2}) are two SBB with correlation \rho; \gamma the vol of vol; My question is regarding to the following argument,which after several readings i still can not understand: If there're EMM's in the financial market under heston model, then \mu_t must be equal to r, the riskless interest rate. May be this question is a bit too simple to everybody here,but if somebody can tell me about the background-idee, it will be very appreciate and helpful to me.Thank U very much.Regarding to one answer with a bit PROOF.