Papers, ranked by score

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

Quantifying dimensional change in stochastic portfolio theory

In this paper, we develop the theory of functional generation of portfolios in an equity market with changing dimension. By introducing dimensional jumps in the market, as well as jumps in stock capitalization between the dimensional jumps, we construct different types of self-financing stock portfo

Holy Grail Math 8.5 Rigor 6.5 ·  March 1, 2023

Portfolio Choice under General Utility with Transaction Costs and Search Frictions

We study finite-horizon portfolio optimization with proportional transaction costs and trading opportunities arriving at the jump times of a Cox process. Borrowing and short-selling are prohibited, while utility functions need not be concave, increasing, or differentiable. The admissible class inclu

Lab Rats Math 9 Rigor 4 ·  October 1, 2026

Arbitrage theory in a market of stochastic dimension

This paper studies an equity market of stochastic dimension, where the number of assets fluctuates over time. In such a market, we develop the fundamental theorem of asset pricing, which provides the equivalence of the following statements: (i) there exists a supermartingale numéraire portfolio; (ii

Lab Rats Math 9 Rigor 1 ·  December 9, 2022

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