A Black–Scholes user's guide to the Bachelier model. Issue 5 (16th February 2022)

• Record Type: Journal Article
• Authors: Choi, Jaehyuk; Kwak, Minsuk; Tee, Chyng Wen; Wang, Yumeng
• Is Part Of: Journal of futures markets. Volume 42:Issue 5(2022)
• Page Start: 959
• Page End: 980
• Publication Date: 2022-02-16
• Subjects: Bachelier model -- Black–Scholes model -- displaced diffusion model -- normal model; Commodity exchanges -- Periodicals; Foreign exchange futures -- Periodicals; 332.632
• DOI: 10.1002/fut.22315
• Languages: English
• ISSNs: 0270-7314

Abstract

Abstract: To cope with the negative oil futures price caused by the COVID–19 recession, global commodity futures exchanges temporarily switched the option model from Black–Scholes to Bachelier in 2020. This study reviews the literature on Bachelier's pioneering option pricing model and summarizes the practical results on volatility conversion, risk management, stochastic volatility, and barrier options pricing to facilitate the model transition. In particular, using the displaced Black–Scholes model as a model family with the Black–Scholes and Bachelier models as special cases, we not only connect the two models but also present a continuous spectrum of model choices.