Papers, ranked by score

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

Implied Probabilities and Volatility in Credit Risk: A Merton-Based Approach with Binomial Trees

We explore credit risk pricing by modeling equity as a call option and debt as the difference between the firm’s asset value and a put option, following the structural framework of the Merton model. Our approach proceeds in two stages: first, we calibrate the asset volatility using the Black-Scholes

Holy Grail Math 8.5 Rigor 7 ·  June 15, 2025

Hedging via Perpetual Derivatives: Trinomial Option Pricing and Implied Parameter Surface Analysis

We introduce a fairly general, recombining trinomial tree model in the natural world. Market-completeness is ensured by considering a market consisting of two risky assets, a riskless asset, and a European option. The two risky assets consist of a stock and a perpetual derivative of that stock. The

Holy Grail Math 7 Rigor 6.5 ·  October 7, 2024

Dynamic Asset Pricing in a Unified Bachelier-Black-Scholes-Merton Model

We present a unified, market-complete model that integrates both the Bachelier and Black-Scholes-Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that experiences the possibility of negative security prices or riskle

Lab Rats Math 8 Rigor 3 ·  May 21, 2024

Exploring Dynamic Asset Pricing within Bachelier Market Model

This paper delves into the dynamics of asset pricing within Bachelier market model, elucidating the representation of risky asset price dynamics and the definition of riskless assets.

Lab Rats Math 6.5 Rigor 2.5 ·  July 8, 2023

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