Optimal exercise boundary for an American put option

  title={Optimal exercise boundary for an American put option},
  author={Rachel Kuske},
The optimal exercise boundary near the expiration time is determined for an American put option. It is obtained by using Green's theorem to convert the boundary value problem for the price of the option into an integral equation for the optimal exercise boundary. This integral equation is solved asymptotically for small values of the time to expiration. The leading term in the asymptotic solution is the result of Barles et al. [1]. An asymptotic solution for the option price is obtained also… CONTINUE READING

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Nicholas Samsoen

  • G. Barles, J. Burdeau, M. Romano
  • Critical stock price near expiration…
  • 1995
Highly Influential
5 Excerpts

Option Pricing: Mathematical Models and Computation

  • P. Wilmott, J. Dewynne, S. Howison
  • 1993
Highly Influential
3 Excerpts

On Optimal Stopping and Free Boundary Problems

  • P. Van Moerbeke
  • Arch. Ration. Mech. Anal. 60, pp. 101-148,
  • 1976
Highly Influential
4 Excerpts

Approximation for American options

  • F. Aitsahlia, T. Lai
  • 1996
2 Excerpts

Approximations for the values of American options

  • G. Barone-Adesi, R. Elliott
  • Stochastic Analysis and Applications 9, pp. 115…
  • 1991
2 Excerpts

The analytic valuation of the American options

  • I. J. Kim
  • Rev. Fin. Stud. 3 pp. 547-572
  • 1990
2 Excerpts

Advanced mathematical methods for scientists and engineers, McGraw-Hill, NY 1978

  • C. M. Bender, S. A. Orszag
  • t)j =
  • 1978

Appendix A: A free boundary problem for the heat equation arising from a problem in mathematical economics

  • H. P. McKean, Jr.
  • Industrial Management Review,
  • 1965
2 Excerpts

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