Optimal positioning in financial derivatives under mixture distributions

C-Tier
Journal: Economic Modeling
Year: 2016
Volume: 52
Issue: PA
Pages: 115-124

Score contribution per author:

0.503 = (α=2.01 / 2 authors) × 0.5x C-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

In this paper, we study and extend the optimal portfolio positioning problem introduced by Brennan and Solanki (1981) and by Leland (1980). For that purpose, we introduce mixtures of probability distributions to model the log returns of financial assets. In this framework, we provide and analyze the general solution for log return with mixture distributions, in particular for the mixture Gaussian case. Our solution is characterized for arbitrary utility functions and for any risk neutral probability. Moreover, we illustrate the solution for a CRRA utility and for the minimal risk-neutral probability. Lastly, we compare our solution with the optimal portfolio within ambiguity. Our results have significant implications to improve the management of structured financial portfolios.

Technical Details

RePEc Handle
repec:eee:ecmode:v:52:y:2016:i:pa:p:115-124
Journal Field
General
Author Count
2
Added to Database
2026-01-29