Valuing Double Barrier Options with Time-Dependent Parameters

نویسندگان

  • Edward Chi-Fai Lo
  • Cho-Hoi Hui
چکیده

Based upon the Fourier series expansion, we propose a simple and easy-to-use approach for computing accurate estimates of Black-Scholes double barrier option prices with time-dependent parameters. This new approach is also able to provide tight upper and lower bounds of the exact barrier option prices. Furthermore, this approach can be straightforwardly extended to the valuation of standard European options with specified moving boundaries as well.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Valuing Time-Dependent CEV Barrier Options

We have derived the analytical kernels of the pricing formulae of the CEV knockout options with time-dependent parameters for a parametric class of moving barriers. By a series of similarity transformations and changing variables, we are able to reduce the pricing equation to one which is reducible to the Bessel equation with constant parameters. These results enable us to develop a simple and ...

متن کامل

Valuing Continuous Barrier Options on a Lattice solution for a Stochastic Dirichlet Problem¤

The stochastic Dirichlet problem computes values within a domain of certain functions with known values at the boundary of the domain. When applied to valuing barrier options, solutions are expressed as expected discounted payo¤s achieved at hitting times to the boundary of the domain. We construct a lattice solution to the stochastic Dirichlet problem. In between time steps on the lattice, the...

متن کامل

Static Benefits Breaking Barriers

as a way to hedge barrier options when the underlying is a futures price with no drift. Derman, Ergener & Hani (1994) relaxed this drift restriction by introducing an algorithm for hedging barrier options in a bi-nomial model, using options with a single strike but multiple expiries. By contrast, this article provides explicit formulas for static hedges in the standard Black-Scholes (1973) mode...

متن کامل

Digital barrier option contract with exponential random time

Barrier options are a widely used class of path-dependent derivative securities. These options either cease to exist or come into existence when some pre-specified asset price barrier is hit during the option’s life. Merton (1973) has derived a down-and-out call price by solving the corresponding partial differential equation with some boundary conditions. Reiner & Rubinstein (1991) published c...

متن کامل

Article 3

of time the underlying asset price spends outside of a pre-specified price range (occupation time). Proportional and simple double-barrier step options are gradual knockout options with the principal amortized based on the occupation time outside of the range. Delayed double-barrier options are extinguished when the occupation time outside of the range exceeds a prespecified knock-out window (d...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006