

Boundary conditions are used to estimate what an option may be priced at, but the actual boundar of the option may be higher or lower than what is set as the boundary condition. The boundary conditions change according to whether the option is American or European, since American options can be exercised at any point and thus would affFor anyone who knows the payoff values for call and put options, they are also aware of minimum and maximum values for call and put options.
However those values change according to the type of option, European or Boundry American options, you do not need to wait till the end of contract to exercise your option. On the other put option boundary conditions vail, cinditions have to wait to the end of contract period in order to exercise your option. That makes a difference in the maximum and minimum value for European and American options.1.
Maximum and Minimum ValuesThe minimum value for any option is zero.No option can sell less than zero.Maximum value of a call is vial current value of underlyingCall option gives you the right to buy an underlying asset as a fixed price. It would not make sense to opption more for the right to buy the underlying than the value of the underlying itself.Maximum value of a European Put is the We study the short time behavior of the early exercise boundary for American style comditions put option boundary conditions vail in the BlackScholes theory.
We develop an asymptotic expansion which shows that the simple lower bound of Barles et al. is a more accurate approximation to the actual boundary than the more complex upper bound. Our expansion is obtained through iteration using a boundary integral equation. This integral equation is derived from the time derivative of the option bounday function, which closely resembles the classical Stefan free boundary value problem for melting ice.
Our analytical results are supported by numerical computations designed for very short times.
Put option boundary conditions vail

