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Paper detail

Optimal portfolios for different anticipating integrals under insider information

We consider the non-adapted version of a simple problem of portfolio optimization in a financial market that results from the presence of insider information. We analyze it via anticipating stochastic calculus and compare the results obtained by means of the Russo-Vallois forward, the Ayed-Kuo, and the Hitsuda-Skorokhod integrals. We compute the optimal portfolio for each of these cases with the aim of establishing a comparison between these integrals in order to clarify their potential use in this type of problem. Our results give a partial indication that, while the forward integral yields a portfolio that is financially meaningful, the Ayed-Kuo and the Hitsuda-Skorokhod integrals do not provide an appropriate investment strategy for this problem.

preprint2021arXivOpen access
Carlos EscuderoSandra Ranilla-Cortina
q-fin.MFmath.OCmath.PR
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Carlos EscuderoSandra Ranilla-Cortina

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