A barrier option is a

path-dependent option which is exterminated (knocked out) or initiated (knocked in) if the underlying spot price hits the specified barrier level during the life of the option.

(2017) [25] studied the pricing of vulnerable

path-dependent options using double Mellin transforms and obtained an explicit form pricing formula or semianalytic formula in each

path-dependent option.

This implies that the option is an ECC

path-dependent option with expected outflows, due to lapses, at fixed dates.

As Parisian option is a

path-dependent option like barrier option, the price depends on the path of an underlying asset as well as payoff at the maturity.

Things are more complicated in the case of exotic

path-dependent option such as Asian power options developed in this paper whose payoff depends on the geometric or arithmetic average of the underlying asset raised to power.

Things are more complicated in the case of

path-dependent options. The analytical solution of the pricing problem is not available and numerical approximations must be used.

It is one kind of

path-dependent options where the payoff is based on the maximum or the minimum of the underlying asset price during the drift of the option.

Asian options are a kind of common strong

path-dependent options, whose value depends on the average price of the underlying asset during the life of the option.

Linetsky, "Pricing and hedging

path-dependent options under the CEV process," Management Science, vol.

Kou, 1999, "Connecting Discrete and Continuous

Path-Dependent Options," Finance and Stochastics, 3, 55-82.

Yen, "Pricing discrete

path-dependent options under a double exponential jump-diffusion model," Journal of Banking and Finance, vol.

Chapter 15 looks at advanced derivative designs and strategies including portfolio insurance, customized products, and exotic options such as binary and

path-dependent options. Finally, the book ends with a chapter entitled "Financial Risk Management," which discusses the structure of the derivatives industry (d ealers) and miscellaneous issues, including accounting for derivatives.