Abstract :
[en] This paper introduces a new methodology to optimize the allocation of financial assets. The
objective of the model is to maximize the expected return of the portfolio under constraints
limiting its Value-at-Risk. The assets could consist in stocks as well as options. We rely on a
flexible scenario tree approach to represent the future prices. In order to reduce the number of
leaves and maintain the model tractable, stocks prices are obtained through the Fama & French
empirical asset pricing model. Experiments on historical data are performed to illustrate the
method and show the performance of the approach. Different strategies are compared:
considering various market distributions, several factor models and a few portfolio hypothesis.
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