• Title of article

    Properties of utility function for Barles and Soner model

  • Author/Authors

    Ranjbar ، Mojtaba - Azarbaijan Shahid Madani University , Pourghanbar ، Somayeh - Azarbaijan Shahid Madani University

  • Pages
    7
  • From page
    117
  • To page
    123
  • Abstract
    The nonlinear Black-Scholes equation has been increasingly attracting interest over the last two decades, because it provides more accurate values by considering transaction costs as a viable assumption. In this paper we review the fully nonlinear Black-Scholes equation with an adjusted volatility which is a function of the second derivative of the price and then we prove two new theorems in this realistic model.
  • Keywords
    Nonlinear Black , Scholes equation , Transaction costs , Utility function
  • Journal title
    Computational Methods for Differential Equations
  • Serial Year
    2019
  • Journal title
    Computational Methods for Differential Equations
  • Record number

    2456891