This article addresses the problem of pricing European options when the underlying asset is not perfectly liquid. A liquidity discounting factor as a function of market-wide liquidity governed by a mean-reverting stochastic process and the sensitivity of the underlying price to market-wide...

As it is well-known, the centrepiece of model calibration is regularization which plays an important role in transforming an ill-posed calibration problem into a stable and well-formulated one. Empirically, this realm of research has not been explored in much details in the literature. The goal...

Warrants on China's A-share market exhibited prolonged abnormal patterns by trading significantly below their intrinsic values. One might simply deem this phenomenon as uninteresting by pointing out that the A-share market is incomplete, for short selling of stocks is prohibited. This reasoning...

In 2009, Avellaneda and Lipkin (A&L) proposed a dynamic model for hard-to-borrow stocks, in which the stock price and the buy-in rate, an additional factor introduced by them, are full coupled. In order to obtain a semi-explicit pricing formula for European call options, A&L had to make an...

We provide a closed-form solution to an optimal investment and consumption problem for a constant absolute risk aversion (CARA) agent, who faces execution costs when trading correlated risky assets with return predictability. The optimal investment strategy indicates that the agent should trade...

In this paper, we price American-style Parisian down-and-in call options under the Black-Scholes framework. Usually, pricing an American-style option is much more difficult than pricing its European-style counterpart because of the appearance of the optimal exercise boundary in the former....