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SDE(s) satisfied by Radon-Nikodym derivatives of certain martingale measures [closed]

Given: Money Market Account: $dR_{t}=R_{t}r_{t}dt, R_{0}>0$ Risky Asset: $dS_{t}=S_{t}(\mu_{t}dt+\sigma_{t}dB_{t}), S_{0}>0$, where $r, \mu,$ and $\sigma$ are positive processes and $B$ is a ...
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Version of Girsanov theorem with changing volatility

Is there a version of Girsanov theorem when the volatility is changing? For example Girsanov theorem states that Radon Nikodym (RN) derivative for a stochastic equation is used to transform the ...