Papers, ranked by score

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

Free Lunches with Vanishing Risks Most Likely Exist

The hypothesis that there do not exist free lunches with vanishing risk (FLVRs) in the real market underpins the popular risk-neutral pricing and hedging methodology in quantitative finance. The paper documents the fact that this hypothesis can be safely rejected. It performs extremely accurately th

Holy Grail Math 7 Rigor 6.5 ·  August 9, 2025

Pricing under the Benchmark Approach

The paper summarizes key results of the benchmark approach with a focus on the concept of benchmark-neutral pricing. It applies these results to the pricing of an extreme-maturity European put option on a well-diversified stock index. The growth optimal portfolio of the stocks is approximated by a w

Lab Rats Math 8 Rigor 4.5 ·  June 19, 2025

Benchmark-Neutral Pricing

The paper introduces benchmark-neutral pricing and hedging for long-term contingent claims. It employs the growth optimal portfolio of the stocks as numeraire and the new benchmark-neutral pricing measure for pricing. For a realistic parsimonious model, this pricing measure turns out to be an equiva

Lab Rats Math 8 Rigor 4.5 ·  April 9, 2024

Information-Theoretic Approach to Financial Market Modelling

The paper treats the financial market as a communication system, using four information-theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model minimizes the surprisal of the market and the Kullback-Leibler divergence be

Lab Rats Math 8 Rigor 3.5 ·  February 16, 2026

Information-minimizing stationary financial market dynamics

The paper derives the dynamics of a financial market from basic mathematical principles. It models the market dynamics using independent stationary scalar diffusions, assumes the existence of its growth optimal portfolio (GOP), interprets the market as a communication system, and minimizes, in an in

Lab Rats Math 8.5 Rigor 2.5 ·  July 24, 2025

Benchmark-Neutral Risk-Minimization for insurance products and nonreplicable claims

In this paper we study the pricing and hedging of nonreplicable contingent claims, such as long-term insurance contracts like variable annuities. Our approach is based on the benchmark-neutral pricing framework of Platen (2024), which differs from the classical benchmark approach by using the stock

Lab Rats Math 8 Rigor 2 ·  June 24, 2025

Real-world models for multiple term structures: a unifying HJM semimartingale framework

We develop a unified framework for modeling multiple term structures arising in financial, insurance, and energy markets, adopting an extended Heath-Jarrow-Morton (HJM) approach under the real-world probability. We study market viability and characterize the set of local martingale deflators. We con

Lab Rats Math 9.5 Rigor 1 ·  November 4, 2024

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