Rafael M. Frongillo

  1. Minimax Option Pricing Meets Black-Scholes in the Limit.

    Authors: Rafael M. Frongillo, Jacob Abernethy, Andre Wibisono
    Subjects: Computational Finance
    Abstract

    Option contracts are a type of financial derivative that allow investors to
    hedge risk and speculate on the variation of an asset's future market price. In
    short, an option has a particular payout that is based on the market price for
    an asset on a given date in the future. In 1973, Black and Scholes proposed a
    valuation model for options that essentially estimates the tail risk of the
    asset price under the assumption that the price will fluctuate according to
    geometric Brownian motion.

  2. Topological entropy bounds for hyperbolic plateaus of the H\'enon map.

    Authors: Rafael M. Frongillo
    Subjects: Dynamical Systems
    Abstract

    We describe an automated method for computing rigorous lower bounds for
    topological entropy which was originally introduced in [Day et al., 2008]. We
    combine this method with the work of Zin Arai in [Arai, 2007] to find rigorous
    lower bounds on topological entropy for 43 hyperbolic plateaus of the H\'enon
    map. We also examine 15 area-preserving plateaus and compare our results with
    related work.

RSS-материал