Risk-Constrained Kelly for Mutually Exclusive Outcomes: CRRA Support Invariance and Logarithmic One-Dimensional Calibration

We study the finite mutually exclusive outcome version of risk-constrained Kelly optimization with explicit state prices. The market has outcome probabilities $p_i>0$, state prices $q_i>0$, terminal wealths $W_i=c+x_i/q_i$, and a drawdown-surrogate constraint [ \sum_{i=1}^n p_i W_i^{-λ}\le 1,\qquad

April 13, 2026 · 2 min · thequant.space

Temperature Anomalies and Climate Physical Risk in Portfolio Construction

Driven by the increasing frequency and intensity of natural disasters and chronic climate threats, we investigate the impact of physical climate risk on global equity portfolios. By employing a panel regression analysis on sectoral returns, we provide statistical evidence that extreme temperature ev

April 13, 2026 · 2 min · thequant.space

When Forecast Accuracy Fails: Rank Correlation and Decision Quality in Multi-Market Battery Storage Optimization

Battery energy storage systems (BESS) participating in multi-market electricity trading require price forecasts to optimize dispatch decisions. A widely held assumption is that forecast accuracy, measured by standard metrics such as mean absolute error (MAE), drives trading performance. We challenge

April 13, 2026 · 2 min · thequant.space

Aharanov-Bohm Type Arbitrage and Homological Obstructions in Financial Markets

We introduce a new perspective on arbitrage based on global loop effects in filtered market systems, providing a conceptual extension of classical arbitrage theory beyond local consistency conditions. Given a filtration modeled as a contravariant functor $F : \mathcal{T}^{op} \to \mathrm{Prob}$, we

April 12, 2026 · 2 min · thequant.space

Investing Is Compression

In 1956 John Kelly wrote a paper at Bell Labs describing the relationship between gambling and Information Theory. What came to be known as the Kelly Criterion is both an objective and a closed-form solution to sizing wagers when odds and edge are known. Samuelson argued it was arbitrary and subject

April 12, 2026 · 3 min · thequant.space

Lambda R{é}nyi entropic value-at-risk

This paper introduces the Lambda extension of the Rényi entropic value-at-risk ($Λ$-EVaR), a novel family of risk measures that unifies the flexible confidence level structure of the $Λ$-framework with the higher-moment sensitivity of EVaR. We define $Λ$-EVaR, establish its foundational properties i

April 12, 2026 · 2 min · thequant.space

Risk-Sensitive Specialist Routing for Volatility Forecasting

Volatility forecasting becomes challenging when market conditions shift and model performance varies across market states. Motivated by this instability, we develop a risk-sensitive specialist routing framework for ETF volatility forecasting. The framework uses online risk-sensitive evaluation and s

April 12, 2026 · 2 min · thequant.space

Mandatory Disclosure in Oligopolistic Market Making

We develop a multi-period Kyle-type model that incorporates both mandatory disclosure of informed trades and imperfect competition among market makers. We prove the existence and uniqueness of a linear equilibrium and show that the liquidity-enhancing effect of disclosure is fundamentally linked to

April 11, 2026 · 2 min · thequant.space

On the Structure of Risk Contribution: A Leave-One-Out Decomposition into Inherent and Correlation Risk

This paper develops a decomposition of standard Risk Contribution (RC) into two economically interpretable components: inherent risk and correlation risk. Using a leave-one-out representation, each position’s RC separates into a term reflecting its own volatility contribution independent of the port

April 11, 2026 · 2 min · thequant.space

The Long-Only Minimum Variance Portfolio in a One-Factor Market: Theory and Asymptotics

We study the long-only minimum variance (LOMV) portfolio under a one-factor covariance model with asset betas of arbitrary sign. We provide an explicit solution in terms of the set of active (positive weight) assets, and provide an explicit and computable characterization of the active set. As a cor

April 11, 2026 · 2 min · thequant.space

What Happens When Institutional Liquidity Enters Prediction Markets: Identification, Measurement, and a Synthetic Proof of Concept

Prediction markets are starting to look less like crowd polls and more like electronic markets. The central question is therefore no longer only whether these markets forecast well, but what happens when institutional liquidity enters: do spreads tighten, does price discovery improve, and do those g

April 11, 2026 · 2 min · thequant.space

When AAA Satisfies Nothing: Impossibility Theorems for Structured Credit Ratings

A credit rating of AAA asserts near-certainty of repayment. This paper asks whether the pre-crisis information environment could have supported that assertion for structured products. Bayes’ theorem implies that any reliability target requires a minimum level of statistical discrimination between in

April 11, 2026 · 2 min · thequant.space

A Review of Large Language Models for Stock Price Forecasting from a Hedge-Fund Perspective

Large language models (LLMs) are increasingly deployed in quantitative finance for stock price forecasting. This review synthesizes recent applications of LLMs in this domain, including extracting sentiment from financial news and social media, analyzing financial reports and earnings-call transcrip

April 10, 2026 · 2 min · thequant.space

Exploring Drivers of Extreme Housing Prices in Australia

In recent years Australia has observed a growing, unexplained resilience of increasing house price trends. Here, we seek to understand what is driving Australia’s indestructible asset using insights from market experts. We construct a differential equation model of house price to develop intuition f

April 10, 2026 · 2 min · thequant.space

Global Persistence, Local Residual Structure: Forecasting Heterogeneous Investment Panels

On a 93-actor quarterly panel mixing macro indicators, institutional data, and firm-level investment ratios, global factor augmentation degrades prediction for actor subgroups whose dynamics are misrepresented by the shared basis. A two-stage architecture – global pooled AR(1) for shared persistenc

April 10, 2026 · 2 min · thequant.space

Optimal Annuitization Time under a Mortality Shock

In this paper, we derive explicit closed-form solutions for the value function and the associated optimal stopping boundaries in an optimal annuitization problem under a mortality shock. We consider an individual whose retirement wealth is invested in a financial fund following the dynamics of a geo

April 10, 2026 · 2 min · thequant.space

Systemic Risk and Default Cascades in Global Equity Markets: A Network and Tail-Risk Approach Based on the Gai Kapadia Framework

This study extends the Gai-Kapadia framework, originally developed for interbank contagion, to assess systemic risk and default cascades in global equity markets. We analyze a 30 asset network comprising Brazilian and developed market equities over the period 2015-2026, constructing exposure based f

April 10, 2026 · 2 min · thequant.space

Machine Spirits: Speculation and Adaptation of LLM Agents in Asset Markets

As Large Language Models (LLMs) become increasingly integrated into financial systems, understanding their behavioural properties is crucial. Do LLMs conform to the rational expectations paradigm, do they exhibit human-like “animal spirits”, or do they instead manifest distinct “machine spirits”? We

April 9, 2026 · 2 min · thequant.space

Measuring Strategy-Decay Risk: Minimum Regime Performance and the Durability of Systematic Investing

Systematic investment strategies are exposed to a subtle but pervasive vulnerability: the progressive erosion of their effectiveness as market regimes change. Traditional risk measures, designed to capture volatility or drawdowns, overlook this form of structural fragility. This article introduces a

April 9, 2026 · 2 min · thequant.space

Multi periods mean-DCVaR optimization: a Recursive Neural Network resolution

We study a discrete-time multi-period portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the excess of Conditional Value-at-Risk over expected terminal wealth. The objective is to maximize expected return subject to a global tai

April 9, 2026 · 2 min · thequant.space