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

Spectral Portfolio Theory: From SGD Weight Matrices to Wealth Dynamics

We develop spectral portfolio theory by establishing a direct identification: neural network weight matrices trained on stochastic processes are portfolio allocation matrices, and their spectral structure encodes factor decompositions and wealth concentration patterns. The three forces governing sto

Lab Rats Math 8.5 Rigor 3 ·  March 9, 2026

Extensions to the Wealth Tax Neutrality Framework

Frøseth (2026; arXiv:2603.05264) shows that a proportional wealth tax on market values is neutral with respect to portfolio choice, Sharpe ratios, and equilibrium prices under CRRA preferences and geometric Brownian motion. This paper investigates the robustness of that result along two dimensions.

Lab Rats Math 8 Rigor 3 ·  March 5, 2026

Flow Taxes, Stock Taxes, and Portfolio Choice: A Generalised Neutrality Result

A proportional wealth tax - a levy on the stock of wealth - preserves portfolio neutrality by acting as a uniform drift shift in the Fokker-Planck equation for wealth dynamics. We extend this result to the full system of ownership taxes (eierkostnader) that a shareholder faces: a corporate tax on gr

Lab Rats Math 7.5 Rigor 3 ·  March 16, 2026

Heterogeneous Returns and Wealth Tax Neutrality: A Fokker-Planck Framework

We extend the Fokker-Planck framework of Froseth (2026, arXiv:2603.05283) to populations of investors with heterogeneous, persistent return-generating ability. When the drift coefficient in the Langevin equation for log-wealth varies across investors, the proportional wealth tax remains a uniform dr

Lab Rats Math 8.5 Rigor 2 ·  March 16, 2026

Asset Returns, Portfolio Choice, and Proportional Wealth Taxation

We analyse the effect of a proportional wealth tax on asset returns, portfolio choice, and asset pricing. The tax is levied annually on the market value of all holdings at a uniform rate. We show that such a tax is economically equivalent to the government acquiring a proportional stake in the inves

Lab Rats Math 6.5 Rigor 2 ·  March 5, 2026

Wealth Taxation as a Drift Modification: A Fokker-Planck Approach to Tax Neutrality

We reformulate the neutral wealth tax framework of Froeseth (2026; arXiv:2603.05264) in the language of stochastic dynamics and statistical physics. Individual wealth under geometric Brownian motion satisfies a Langevin equation with multiplicative noise; the probability density of wealth across a p

Lab Rats Math 6.5 Rigor 1.5 ·  March 5, 2026

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