Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Is (independent) subordination relevant in option pricing?

Monroe (1978) demonstrates that any local semimartingale can be represented as a time-changed Brownian Motion (BM). A natural question arises: does this representation theorem hold when the BM and the time-change are independent? We prove that a local semimartingale is not equivalent to a BM with a

Holy Grail Math 8.5 Rigor 7.5 ·  July 14, 2023

The additive Bachelier model with an application to the oil option market in the Covid period

In April 2020, the Chicago Mercantile Exchange temporarily switched the pricing formula for West Texas Intermediate oil market options from the Black model to the Bachelier model. In this context, we introduce an additive Bachelier model that provides a simple closed-form solution and a good descrip

Holy Grail Math 7 Rigor 6.5 ·  June 11, 2025

Smile asymptotics for Bachelier implied volatility

We investigate the asymptotic behaviour of the implied volatility in the Bachelier setting, extending the large-strike results established for the Black-Scholes framework. Exploiting the theory of regular variation, we derive explicit expressions for the Bachelier implied volatility in the wings of

Lab Rats Math 8 Rigor 1.5 ·  June 9, 2025

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