Pricing Options in an Extended Black Scholes Economy with Illiquidity: Theory and Empirical Evidence

• Main Authors: Cetin, Umut, Jarrow, Robert, Protter, Mitchell, WARACHKA, Mitchell
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2010
• Subjects: Option Pricing; Liquidity; Black Scholes; Finance and Financial Management; Portfolio and Security Analysis
• Online Access: https://ink.library.smu.edu.sg/lkcsb_research/2787; https://ink.library.smu.edu.sg/context/lkcsb_research/article/3786/viewcontent/Pricing_Options_RFS_5959_av.pdf
• Institution: Singapore Management University

This article studies the pricing of options in an extended Black Scholes economy in which the underlying asset is not perfectly liquid. The resulting liquidity risk is modeled as a stochastic supply curve, with the transaction price being a function of the trade size. Consistent with the market microstructure literature, the supply curve is upward sloping with purchases executed at higher prices and sales at lower prices. Optimal discrete time hedging strategies are then derived. Empirical evidence reveals a significant liquidity cost intrinsic to every option. [PUBLICATION ABSTRACT]