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The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula Merton-Garman model
2011/7/5
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed.
Based on this kernel option formula is obtained, which generalizes the well-known Bla...
A remark on Gatheral's 'most-likely path approximation' of implied volatility
remark on Gatheral's 'most-likely path implied volatility
2010/11/2
We give a rigorous proof of the representation of implied volatility as a time-average of weighted expectations of local or stochastic volatility. With this proof we fix the problem of a circular defi...