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On the Martingale Property of Certain Local Martingales
Local martingales vs true martingales one-dimensional diffusions separating times
2010/11/1
The stochastic exponential Zt = exp{Mt − M0 − (1/2)hM,Mit} of a continuous local martingale M is itself a continuous local martingale. We give a necessary and sufficient condition for the ...
From Black-Scholes and Dupire formulae to last passage times of local martingales. Part A : The infinite time horizon
Black-Scholes Dupire formulae last passage times local martingales Part A infinite time horizon
2010/12/20
These notes are the first half of the contents of the course given by the second author at the Bachelier Seminar (February 8-15-22 2008) at IHP. They also correspond to topics studied by the first aut...