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A tractable model for indices approximating the growth optimal portfolio. (English) Zbl 1283.91198
Summary: The growth optimal portfolio (GOP) plays an important role in finance, where it serves as the numéraire portfolio, with respect to which contingent claims can be priced under the real world probability measure. This paper models the GOP using a time dependent constant elasticity of variance (TCEV) model. The TCEV model has high tractability for a range of derivative prices and fits well the dynamics of a global diversified world equity index. This is confirmed when pricing and hedging various derivatives using this index.

91G70 Statistical methods; risk measures
91G10 Portfolio theory
62G07 Density estimation
91G20 Derivative securities (option pricing, hedging, etc.)
Full Text: DOI
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