This week the pipeline scored 7 new papers. Here are the 7 strongest by our rigor-weighted score (how scoring works).
1. Principal component error in high-dimensional factor models
Holy Grail · Math 8.0/10 · Rigor 6.0/10 · Factor Investing
In a statistical factor model, principal components (or eigenvectors) of a sample covariance matrix serve as estimates of {\it principal directions}, the true drivers of co-movement of a collection of observed variables. We write the often substantial error in these estimates as a sum of two interpr…
2. Model-Free Passive Execution via Order-Level Shadowing
Street Traders · Math 4.0/10 · Rigor 8.0/10 · HFT & Execution, Market Microstructure
Automated execution algorithms are organized into schedule-based and liquidity-seeking families. This paper concerns the first, whose members – Time-Weighted Average Price (TWAP), Volume-Weighted Average Price (VWAP), Percentage of Volume (POV) and Implementation Shortfall – are all model-based: e…
3. Optimal entry and exit for variance swaps: closed-form rules for the perpetual contract
Lab Rats · Math 9.0/10 · Rigor 4.0/10 · Options & Derivatives
Variance swaps are a convenient instrument for trading vega and convexity, and a listed contract now trades on Cboe. We ask when a trader should put such a position on and when she should take it off, and for a perpetual, continuously settled contract we answer both in closed form: each threshold is…
4. Reproducibility is not construct validity: LLM measurement of institutionally situated communication
Street Traders · Math 3.0/10 · Rigor 7.0/10 · NLP & LLMs
High annotation reproducibility does not necessarily imply that an LLM-inferred measure captures the construct it is intended to measure. We test this distinction using a dataset from the European Commission’s AI Act consultation, linking structured survey responses to free-text consultation submiss…
5. From Public Evidence to Contractual Outcome: First and Stable Decidability on Kalshi
Street Traders · Math 4.0/10 · Rigor 6.0/10
Public evidence can become sufficient to settle a prediction-market contract before the venue records its first determination, but the relevant boundary depends on the applicable rule version, exact release object, source hierarchy, correction history, and unfinished contract conditions. This paper…
6. Quadratic G-BSDEs for bond pricing with endogenous short-rate feedback
Lab Rats · Math 9.0/10 · Rigor 2.0/10 · Volatility, Fixed Income
We study robust bond valuation with endogenous short-rate feedback under volatility uncertainty. Within the $G$-expectation framework, the dependence of the short rate on the bond price yields a nonlinear fixed-point problem, represented by a quadratic $G$-BSDE for the logarithmic price. Under suita…
7. Regularity of a Multidimensional Principal-Agent Problem with Separable Effort Costs
Lab Rats · Math 9.0/10 · Rigor 1.0/10
This paper studies the regularity of the value function arising from a multidimensional continuous-time principal-agent model with separable, nonquadratic effort costs. The associated stochastic control problem has the output and the agent’s continuation utility as state variables, and its Hamilton-…
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