Data di Pubblicazione:
2000
Citazione:
The minimal entropy martingale measure and the valuation problem in incomplete markets / M. Frittelli. - In: MATHEMATICAL FINANCE. - ISSN 0960-1627. - 10:1(2000), pp. 39-52. [10.1111/1467-9965.00079]
Abstract:
Let χ be a family of stochastic processes on a given filtered probability space (Ω,F,(F_{t})_{t∈T},P) with T⊆R₊. Under the assumption that the set M_{e} of equivalent martingale measures for χ is not empty, we give sufficient conditions for the existence of a unique equivalent martingale measure which minimizes the relative entropy, with respect to P, in the class of martingale measures. We then provide the characterization of the density of the Minimal Entropy Martingale measure, which suggests the equivalence between the maximization of expected exponential utility and the minimization of the relative entropy.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Asset pricing; Equivalent martingale measures; Incomplete markets; Martingales; Relative entropy
Elenco autori:
M. Frittelli
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