Gobet, E. (2004) Revisiting the Greeks for European and American Options. Proceedings of the International Symposium on Stochastic Processes and Mathematical Finance at Ritsumeikan University, Kusatsu, 5-9 March 2003, 53-71.
https://doi.org/10.1142/9789812702852_0003

has been cited by the following article:

• TITLE: Computation of Greeks Using Binomial Tree

  AUTHORS: Yoshifumi Muroi, Shintaro Suda

  KEYWORDS: Options, Greeks, Binomial Tree

  JOURNAL NAME: Journal of Mathematical Finance, Vol.7 No.3, July 17, 2017

  ABSTRACT: This paper proposes a new efficient algorithm for the computation of Greeks for options using the binomial tree. We also show that Greeks for European options introduced in this article are asymptotically equivalent to the discrete version of Malliavin Greeks. This fact enables us to show that our Greeks converge to Malliavin Greeks in the continuous time model. The computation algorithm of Greeks for American options using the binomial tree is also given in this article. There are three advantageous points to use binomial tree approach for the computation of Greeks. First, mathematics is much simpler than using the continuous time Malliavin calculus approach. Second, we can construct a simple algorithm to obtain the Greeks for American options. Third, this algorithm is very efficient because one can compute the price and Greeks (delta, gamma, vega, and rho) at once. In spite of its importance, only a few previous studies on the computation of Greeks for American options exist, because performing sensitivity analysis for the optimal stopping problem is difficult. We believe that our method will become one of the popular ways to compute Greeks for options.