A multi-factor model for improved commodity pricing: Calibration and an application to the oil market

We present a new model for commodity pricing that enhances accuracy by integrating four distinct risk factors: spot price, stochastic volatility, convenience yield, and stochastic interest rates. While the influence of these four variables on commodity futures prices is well recognized, their combin

January 26, 2025 · 2 min · thequant.space

Preventing Household Bankruptcy: The One-Third Rule in Financial Planning with Mathematical Validation and Game-Theoretic Insights

This paper analyzes the 1/3 Financial Rule, a method of allocating income equally among debt repayment, savings, and living expenses. Through mathematical modeling, game theory, behavioral finance, and technological analysis, we examine the rule’s potential for supporting household financial stabili

January 26, 2025 · 2 min · thequant.space

In-Context Operator Learning for Linear Propagator Models

We study operator learning in the context of linear propagator models for optimal order execution problems with transient price impact à la Bouchaud et al. (2004) and Gatheral (2010). Transient price impact persists and decays over time according to some propagator kernel. Specifically, we propose t

January 25, 2025 · 2 min · thequant.space

A Space Mapping approach for the calibration of financial models with the application to the Heston model

We present a novel approach for parameter calibration of the Heston model for pricing an Asian put option, namely space mapping. Since few parameters of the Heston model can be directly extracted from real market data, calibration to real market data is implicit and therefore a challenging task. In

January 24, 2025 · 2 min · thequant.space

Optimal Investment under Mutual Strategy Influence among Agents

In financial markets, agents often mutually influence each other’s investment strategies and adjust their strategies to align with others. However, there is limited quantitative study of agents’ investment strategies in such scenarios. In this work, we formulate the optimal investment differential g

January 24, 2025 · 2 min · thequant.space

Quantifying firm-level risks from nature deterioration

We estimate the loss of value that companies might suffer from nature overexploitation. We find that global equities shed 26.8% in a scenario of unabated nature decline, while the worst-performing firms lose ~75% of their value. Our risk framework considers five environmental hazards: biodiversity l

January 24, 2025 · 2 min · thequant.space

A groundwater market model

We introduce the problem of groundwater trading, capturing the emergent groundwater market setups among stakeholders in a given groundwater basin. The agents optimize their production, taking into account their available water rights, the requisite water consumption, and the opportunity to trade wat

January 23, 2025 · 1 min · thequant.space

AlphaSharpe: LLM-Driven Discovery of Robust Risk-Adjusted Metrics

Financial metrics like the Sharpe ratio are pivotal in evaluating investment performance by balancing risk and return. However, traditional metrics often struggle with robustness and generalization, particularly in dynamic and volatile market conditions. This paper introduces AlphaSharpe, a novel fr

January 23, 2025 · 2 min · thequant.space

Multimodal Stock Price Prediction

In an era where financial markets are heavily influenced by many static and dynamic factors, it has become increasingly critical to carefully integrate diverse data sources with machine learning for accurate stock price prediction. This paper explores a multimodal machine learning approach for stock

January 23, 2025 · 2 min · thequant.space

Optimizing Portfolios with Pakistan-Exposed ETFs: Risk and Performance Insight

This study examines the investment landscape of Pakistan as an emerging and frontier market, focusing on implications for international investors, particularly those in the United States, through exchange-traded funds (ETFs) with exposure to Pakistan. The analysis encompasses 30 ETFs with varying de

January 23, 2025 · 2 min · thequant.space

(Non-Monotonic) Effects of Productivity and Credit Constraints on Equilibrium Aggregate Production in General Equilibrium Models with Heterogeneous Producers

We show that, in a market economy, the aggregate production level depends not only on the aggregate variables but also on the distribution of individual characteristics (e.g., productivity, credit limit, …). We prove that, due to financial frictions, the equilibrium aggregate production may be non-m

January 22, 2025 · 2 min · thequant.space

Breaking the Dimensional Barrier for Constrained Dynamic Portfolio Choice

We propose a scalable, policy-centric framework for continuous-time multi-asset portfolio-consumption optimization under inequality constraints. Our method integrates neural policies with Pontryagin’s Maximum Principle (PMP) and enforces feasibility by maximizing a log-barrier-regularized Hamiltonia

January 22, 2025 · 2 min · thequant.space

Forecasting of Bitcoin Prices Using Hashrate Features: Wavelet and Deep Stacking Approach

Digital currencies have become popular in the last decade due to their non-dependency and decentralized nature. The price of these currencies has seen a lot of fluctuations at times, which has increased the need for prediction. As their most popular, Bitcoin(BTC) has become a research hotspot. The m

January 22, 2025 · 2 min · thequant.space

Higher-Order Ambiguity Attitudes

We introduce a model-free preference under ambiguity, as a primitive trait of behavior, which we apply once as well as repeatedly. Its single and double application yield simple, easily interpretable definitions of ambiguity aversion and ambiguity prudence. We derive their implications within canoni

January 22, 2025 · 2 min · thequant.space

Marketron games: Self-propelling stocks vs dumb money and metastable dynamics of the Good, Bad and Ugly markets

We present a model of price formation in an inelastic market whose dynamics are partially driven by both money flows and their impact on asset prices. The money flow to the market is viewed as an investment policy of outside investors. For the price impact effect, we use an impact function that inco

January 22, 2025 · 2 min · thequant.space

Optimal Rebate Design: Incentives, Competition and Efficiency in Auction Markets

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction investors executing block trades to buy or sell a risky asset, the

January 22, 2025 · 2 min · thequant.space

Optimal vs. Naive Diversification in the Cryptocurrencies Market: The Role of Time-Varying Moments and Transaction Costs

This study investigates three central questions in portfolio optimization. First, whether time-varying moment estimators outperform conventional sample estimators in practical portfolio construction. Second, whether incorporating a turnover penalty into the optimization objective can improve out-of-

January 22, 2025 · 2 min · thequant.space

An Optimal Transport approach to arbitrage correction: application to Volatility Stress-Tests

We present a method based on optimal transport to remove arbitrage opportunities within a finite set of option prices. The method is notably intended for regulatory stress-tests, which require applying significant local distortions to implied volatility surfaces, thereby introducing arbitrage. The r

January 21, 2025 · 2 min · thequant.space

FDI versus R\&D in an endogenous growth model

We investigate the role of foreign direct investment (FDI) and research and development (R&D) in the transitional dynamics of host countries using an optimal growth model. FDI may benefit the host country’s GNP by enabling multinational enterprises to hire local workers. However, if the host countr

January 21, 2025 · 2 min · thequant.space

Implementation of an Asymmetric Adjusted Activation Function for Class Imbalance Credit Scoring

Credit scoring is a systematic approach to evaluate a borrower’s probability of default (PD) on a bank loan. The data associated with such scenarios are characteristically imbalanced, complicating binary classification owing to the often-underestimated cost of misclassification during the classifier

January 21, 2025 · 2 min · thequant.space