Piecewise linear double barrier options
研究了分段线性双障碍期权的定价问题，推导了标的资产不穿越给定分段线性双障碍的概率，并给出显式定价公式，通过数值实验展示双障碍形状对期权价格的影响。
Abstract A piecewise linear double barrier option generalizes classical double barrier options because of its versatility in designing various double boundaries. This paper discusses how to price piecewise linear double barrier options. To this purpose, we derive the probability that an underlying process does not cross a given piecewise linear double barrier, where the underlying process follows the Brownian motion of piecewise constant drift. Using the established non‐crossing probability, we provide the explicit pricing formulas of piecewise linear double barrier options and show how the shape of a double barrier affects the option prices through extensive numerical experiments.