Blockchain Papers

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2,329 papersLast indexed Aug 31, 2026
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Feb 2, 2026¡Finance research letters
2 cites
On survivor cryptocurrency momentum

Klaus Grobys, Davide Sandretto, Janne Äijö

• We examine the profitability of a cryptocurrency momentum strategy using 9 “survivor coins”. • The survivor cryptocurrency momentum portfolio (SCMP) does not generate significant payoffs. • SCMP does not leverage a plain momentum strategy based on a broader set of coins. • Significant payoffs documented for momentum strategies are an artefact of coins that are only temporarily accessible for trading. Motivated by the significant illiquidity observed in the cryptocurrency market—exemplified by phenomena such as "defaulted coins"—this study is the first to investigate a cryptocurrency-specific analog of currency momentum, as implemented among G10 currencies. We analyze nine free-floating cryptocurrencies that remained within the top 100 altcoins by market capitalization during the sample period, spanning January 2017 to August 2024. Using weekly data, we evaluate two cryptocurrency momentum strategies: one focused solely on survivor coins and another utilizing the largest 30 coins for a given year (referred to as "plain cryptocurrency momentum"). Our main findings are as follows: (a) Cryptocurrency momentum is not evident when applied to survivor coins; (b) plain cryptocurrency momentum is profitable only after the dataset is trimmed; (c) the profitability of trimmed plain cryptocurrency momentum does not result from leveraging survivor coin-based cryptocurrency momentum; (d) even after trimming, the profitability of plain cryptocurrency momentum is highly sample-dependent.

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Stock Market Forecasting Methods
Original source
Jan 31, 2026¡Multidisciplinary Research in Computing Information Systems
0 cites
Long-Range Dependency Modeling in Decentralized Finance Markets Through Structured State Space Architectures

Chengyuan Xu

The decentralized finance market exhibits extreme volatility and complex nonlinear dynamics that pose significant challenges for accurate price prediction and risk management. Traditional time series models, including Long Short-Term Memory networks and Transformer architectures, struggle with either computational inefficiency in capturing long-rangedependencies or inadequate context retention across extended sequences. This research investigates the application of Structured State Space Models, particularly the Mamba architecture with selective state spaces, for modeling temporal dependencies in DeFi markets. The proposed framework addresses the limitations of conventional approaches by leveraging SSMs' linear-time complexity while maintaining superior long-sequence modeling capabilities through context-aware selective mechanisms. Our methodology integrates SSM architectures with DeFispecific features including on-chain transaction volumes, liquidity metrics, and market microstructure indicators. Experimental validation across multiple cryptocurrency pairs demonstrates that SSM-based models achieve competitive performance compared to attentionbaseTransformers while offering substantial computational advantages. The results indicate that selective state space mechanisms enable effective capture of both short-term volatility patterns and long-horizon price trends in decentralized markets. This work contributes to the emerginintersection of advanced sequence modeling techniques and blockchain-based financial systems, providing insights for algorithmic trading strategies and risk assessment frameworks in the rapidly evolving DeFi ecosystem.

Open access
Stock Market Forecasting Methods
Complex Systems and Time Series Analysis
Financial Markets and Investment Strategies
Original source
Jan 30, 2026¡Computer Science Bulletin
0 cites
Blockchain-Based Algorithmic Trading: Efficiency and Security Analysis using Cryptographic Protocols and Smart Contracts

Thomas Anderson, Sarah Mitchell

The integration of distributed ledger technology with financial markets has precipitated a paradigm shift in how algorithmic trading strategies are conceived, executed, and settled. This paper presents a comprehensive analysis of blockchain-based algorithmic trading systems, focusing specifically on the dual challenges of execution efficiency and cryptographic security. While traditional high-frequency trading relies on centralized exchanges and proprietary networks to minimize latency, decentralized trading protocols introduce novel constraints related to block generation intervals, consensus mechanisms, and network propagation delays. We examine the implementation of algorithmic strategies via smart contracts, evaluating the trade offs between on-chain transparency and the privacy requirements of institutional investors. Furthermore, the study investigates critical vulnerabilities inherent to decentralized exchanges, such as Miner Extractable Value and front-running attacks, and proposes mitigation strategies utilizing commit-reveal schemes and zero-knowledge proofs. By analyzing the performance metrics of automated market makers against order book models, we provide empirical evidence regarding the current limitations and potential scalability of blockchain-based trading environments. The findings suggest that while blockchain architectures offer superior settlement finality and auditability, significant advancements in layer-two scaling solutions and privacy preserving cryptographic protocols are requisite for these systems to compete with traditional financial infrastructure in terms of throughput and latency.

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Stock Market Forecasting Methods
Original source
Jan 30, 2026¡Financial Innovation
2 cites
Quantile time-frequency connectedness and networks across cryptocurrency markets

Mobeen Ur Rehman, Neeraj Nautiyal, Xuan Vinh Vo, Muhammad Kashif ¡ 5 authors

Abstract Cryptocurrencies have regained mainstream attention, with Bitcoinx′s recent rally renewing investor interest across the digital asset space. This study focuses on the connectedness and spillover effects among seven major digital assets to examine the asymmetric relationships conditional on market conditions and time horizons. To emphasize the significance of short- and long-term trading dynamics, we explore the state dependence of linkages during extreme upward and downward market movements. Our findings suggest a significant connectedness induced by Litecoin and Ethereum. Short-term fluctuations are the dominant drivers of crypto-market vulnerability across quantiles and frequencies. Pronounced upper-quantile connectedness emerges consistently across all markets. Interestingly, major currencies, such as Bitcoin, Ethereum, Ripple, and Dash, act as receivers during upside and median market conditions, whereas Ethereum and Litecoin exhibit transmission effects. Moreover, no connectedness is detected between Ethereum and Bitcoin at extreme quantiles. The findings highlight the need for careful monitoring and risk assessment of extreme events, demanding careful risk monitoring during periods of turmoil.

Open access
Blockchain Technology Applications and Security
Market Dynamics and Volatility
Financial Markets and Investment Strategies
Original source
Jan 30, 2026¡Frontiers in Applied Mathematics and Statistics
3 cites
Deep learning-based pairs trading: real-time forecasting of co-integrated cryptocurrency pairs

Johannes Tshepiso Tsoku, Katleho Makatjane

Statistical arbitrage strategies, including pairs trading, rely on identifying co-movements and static long-term equilibrium relationships between assets, where conventional methods fail to capture non-stationary dynamics, hence reducing trading effectiveness. This study, therefore, addresses this challenge by employing a dynamic co-integration approach combined with deep learning techniques to select suitable cryptocurrency pairs and forecast spread dynamics. The study examines multiple cryptocurrencies, namely: BNB, Ethereum, Litecoin, Ripple, and USDT, using dynamic Johansen co-integration tests to identify pairs with time-varying equilibrium relationships, and model the spread through a Dynamic Weighted Ensemble of Deep Neural Network and Long Short-Term Memory. Forecasting accuracy, trading performance, and predictive uncertainty are evaluated using error metrics, trading outcomes, and 99% prediction intervals. The results indicate that only those cryptocurrencies with dynamically coherent relationships are suitable for mean-reversion strategies. Furthermore, the study found that the Dynamic Weighted Ensemble achieves the best predictive accuracy. At the same time, LSTM captures proportional temporal dynamics effectively, and the ensemble-driven trading signals generate timely buy and sell decisions with low-lag execution and robust management of market volatility. These findings, therefore, highlight the advantages of combining dynamic co-integration and adaptive deep learning for statistical arbitrage.

Open access
Stock Market Forecasting Methods
Financial Markets and Investment Strategies
Blockchain Technology Applications and Security
Original source
Jan 22, 2026¡Journal of Economic Surveys
0 cites
Bid‐Ask Spread Estimators: Current State, Gaps, and Future Research Agendas

Muneer Shaik, Medhansh Bairaria

ABSTRACT This study provides a comprehensive systematic review and bibliometric analysis of 125 peer‐reviewed articles on bid‐ask spread estimators published between 1987 and 2025. Using the PRISMA framework, we map the intellectual evolution of the field, identifying a significant shift from foundational parametric models to data‐driven approaches. While early research focused on simple covariance‐based metrics, the field has recently been transformed by significant technical advances. Our network analysis identifies five major thematic clusters ranging from market dynamics and liquidity definitions to microstructure in high‐frequency and volatile environments. We highlight a critical research priority: utilizing high‐frequency data to validate low‐frequency models for reliable application in unobserved contexts, such as emerging markets and decentralized finance (DeFi). The findings underscore the enduring relevance of estimators in construction of long‐span historical series and noise‐adjusted liquidity measures. Future research must bridge existing methodological silos by integrating behavioral finance perspectives and advancing real‐time analytics for fragmented, high volatile global markets.

Financial Markets and Investment Strategies
Complex Systems and Time Series Analysis
Banking stability, regulation, efficiency
Original source
Jan 22, 2026¡Academic Journal of International University of Erbil
0 cites
Hyperparameter Tuning of the Prophet Model Using Particle Swarm Optimization: A Case Study on Ethereum

Kwestan Ahmed Ismael, Heshu Othman Faqe, Mohammed Hussein Abdalla, Hindreen A. Taher

In this work we use historical market data from Bitget to predict weekly open prices of Ethereum (ETH) for a 96-week period with the Prophet forecast model trained by using Particle Swarm Optimization (PSO) algorithm. Because of this, the research delves into automated hyperparameter tuning for Prophet in order to improve forecast performance on cryptocurrency markets where volatility, structural breaks and irregular trading patterns pose a significant challenge to time series prediction. The PSO algorithm is a good method to explore the high dimensional parameter space in which it can strike between the global analysis and local exploitation for detecting minimal forecast errors. Based on evaluating model performance for which we used accuracy metrics such as Mean Squared Error (MSE), Root Mean Squared Error (RMSE), Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) in training, test holdout & full-fit situations. PSO-optimized Prophet: The results show a great in-sample fitting and fast convergence behaviour, as the best CV RMSE is slightly higher than the lowest one should have obtained if used only 10 iterations. Although forecasts exhibit stability and track long-term trends well, the model does not predict short-term fluctuations in the holdout set with high accuracy (wider forecast uncertainty intervals). Our results shed light on the utility of PSO to improve Prophet-based price prediction in cryptocurrencies, reinforce the relevance of uncertainty quantification in asset markets and inform risk-aware decisions of financial agents dealing with unstable assets.

Open access
Stock Market Forecasting Methods
Financial Markets and Investment Strategies
Advanced Bandit Algorithms Research
Original source
Jan 21, 2026¡International Review of Finance
1 cites
The Power of Voice: Monetary Policy and Cryptocurrency

Dooyeon Cho

ABSTRACT This paper investigates how nonverbal elements of central bank communication—specifically, the vocal tone of Federal Reserve (Fed) Chairs during Federal Open Market Committee (FOMC) press conferences—shape cryptocurrency market behavior across different phases of the business cycle. Using vocal tone measures extracted from speech audio and controlling for the Fed's textual sentiment and policy actions, we find that tone conveys information beyond what is contained in the Chair's words. A more positive vocal tone raises cryptocurrency prices during economic expansions but has the opposite effect during contractions. These asymmetric responses suggest that, in stable economic conditions, an optimistic tone strengthens investor confidence and encourages greater risk‐taking, whereas during downturns, heightened uncertainty and risk aversion dominate, leading market participants to shift away from speculative assets such as cryptocurrencies. Overall, our findings reveal that nonverbal communication functions as a meaningful and state‐dependent channel through which monetary policy affects the cryptocurrency market.

Public Relations and Crisis Communication
Financial Markets and Investment Strategies
Media Influence and Politics
Original source
Jan 20, 2026¡Journal of risk and financial management
1 cites
Is It a Case of Safe Haven? Analyzing Stablecoin Returns Considering Cryptocurrency Dynamics

Vitor Fonseca Machado Beling Dias, Rodrigo Fernandes Malaquias

In this study, we evaluated the returns and return volatility of a Brazilian stablecoin linked to fertilizers during periods preceding its discontinuation. In light of the safe haven literature, we also tested the correlation between this stablecoin and a traditional cryptocurrency, Bitcoin, and modeled its behavior during periods of Bitcoin’s extreme returns. In terms of methodology, we employ GARCH-family models (including DCC-GARCH) to analyze daily data from 1 December 2022 to 16 January 2025. We also employ an analysis using Large Language Models (LLMs), evaluating the stablecoin time series considering the period of its discontinuation. The results indicated that as the discontinuation date approached, the stablecoin exhibited statistically significant lower returns and higher volatility. While the DCC-GARCH indicated no correlation between the assets, we found that the stablecoin’s returns exhibited a negative relationship with Bitcoin’s extreme returns, challenging its potential efficacy as a safe haven. This article offers practical contributions for digital asset investors, indicating that even physically backed stablecoins, designed for stability, are subject to significant volatility, idiosyncratic risks, and potential discontinuation.

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Financial Risk and Volatility Modeling
Original source
Jan 20, 2026¡Mathematics
1 cites
The Two-Tiered Structure of Cryptocurrency Funding Rate Markets

Petar Zhivkov

Perpetual futures account for approximately 93% of cryptocurrency futures trading volume, yet funding rate dynamics across fragmented markets remain understudied. We construct a high-frequency panel dataset comprising 35.7 million one-minute observations across 26 cryptocurrency exchanges (11 centralized, 15 decentralized) spanning 749 symbols over eight consecutive days. Using time-series econometrics, correlation analysis, and Granger causality tests, we characterize funding rate dynamics, market integration, and information flow. We find evidence of a two-tiered market structure: centralized exchanges (CEX) dominate price discovery with 61% higher integration than decentralized exchanges (DEX), and all significant information flow runs CEX-to-DEX with zero reverse causality. While 17% of observations exhibit economically significant arbitrage spreads (≥20 basis points), only 40% of top opportunities generate positive returns after transaction costs and spread reversals. Delta-neutral portfolio simulations reveal that successful arbitrage requires both high spreads and sufficient duration before inevitable reversals, with forced exits occurring in 95% of opportunities. The findings show that cryptocurrency derivatives markets exhibit a persistent two-tiered structure in which centralized platforms dominate price discovery while transaction costs and spread reversal risks prevent arbitrage from eliminating large mispricings between platforms, resolving the apparent paradox of substantial price fragmentation coexisting with market efficiency.

Open access
Blockchain Technology Applications and Security
FinTech, Crowdfunding, Digital Finance
Financial Markets and Investment Strategies
Original source
Jan 16, 2026¡Econometrics
1 cites
Binance USD Delisting and Stablecoins Repercussions: A Local Projections Approach

Papa Ousseynou Diop, Chevallier Jm

The delisting of Binance USD (BUSD) constitutes a major regulatory intervention in the stablecoin market and provides a unique opportunity to examine how targeted regulation affects liquidity allocation, market concentration, and short-run systemic risk in crypto-asset markets. Using daily data for 2023 and a linear and nonlinear Local Projections event-study framework, this paper analyzes the dynamic market responses to the BUSD delisting across major stablecoins and cryptocurrencies. The results show that liquidity displaced from BUSD is reallocated primarily toward USDT and USDC, leading to a measurable increase in stablecoin market concentration, while decentralized and algorithmic stablecoins absorb only a limited share of the shock. At the same time, Bitcoin and Ethereum experience temporary liquidity contractions followed by a relatively rapid recovery, suggesting conditional resilience of core crypto-assets. Overall, the findings document how a regulatory-induced exit of a major stablecoin reshapes short-run market dynamics and concentration patterns, highlighting potential trade-offs between regulatory enforcement and market structure. The paper contributes to the literature by providing the first empirical analysis of the BUSD delisting and by illustrating the usefulness of Local Projections for studying regulatory shocks in cryptocurrency markets.

Open access
Blockchain Technology Applications and Security
Digital Platforms and Economics
Financial Markets and Investment Strategies
Original source
Jan 16, 2026¡arXiv (Cornell University)
0 cites
Automated Liquidity: Market Impact, Cycles, and De-pegging Risk

B. K. Meister

Three traits of decentralized finance are studied. First, the market impact function is derived for optimal-growth liquidity providers. For a standard random walk, the classic square-root impact is recovered. An extension is then derived to fit general fractional Ornstein-Uhlenbeck processes. These findings break with the linearized liquidity models used in most decentralized exchanges. Second, a Constant Product Market Maker is viewed as a multi-phase Carnot engine, where one phase matches the exchange of tokens by a liquidity taker, and another the change of pool size by a liquidity provider. Third, stablecoin de-pegging is a form of catastrophe risk. By using growth optimization, default odds are linked to the cost of catastrophe bonds. De-pegging insurance can act as a counterweight and a key marketing tool when the law forbids the payment of interest on stablecoins.

Open access
3 source records
q-fin.PM
Insurance and Financial Risk Management
Financial Markets and Investment Strategies
Original source
Jan 14, 2026¡Review of Financial Studies
3 cites
Price Discovery on Decentralized Exchanges

Agostino Capponi, Ruizhe Jia, Shihao Yu

Abstract Decentralized exchanges (DEXs) allow traders to express their willingness to pay for quick execution through a public priority fee bidding mechanism. We provide evidence that high-fee DEX trades are more informative and contribute more to price discovery. Using address-level blockchain transaction data, we show that informed traders persistently bid higher fees to secure early execution, revealing a strong willingness to pay for execution priority. Further, analysis of Ethereum mempool data demonstrates that informed traders employ a “jump bidding” strategy, placing high initial bids to deter potential competitors.

Auction Theory and Applications
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Original source
Jan 13, 2026¡International Finance
1 cites
Does Pegging Affect Market Efficiency? Assessing Long Memory in Stablecoin and Cryptocurrency Markets

Qing Yan, Lei Huang, Liang Wu

ABSTRACT Stablecoins attract academic interest because of their value‐pegging mechanisms and price stability. This likely results in distinct market efficiency. This study compares stablecoins (USDC, Tether, Dai) with Bitcoin and Ethereum and assesses long memory through the Hurst exponent while addressing distortions caused by heavy tails and extreme events. Through shuffled and rank‐order series with a sliding‐window approach, we provide the first reliable time‐varying analysis. The results show that stablecoins exhibit inefficiency and anti‐persistence, with Tether being relatively more efficient. Their tail properties are highly sensitive to extreme events. In contrast, Bitcoin and Ethereum maintain stable weak‐form efficiency even during the COVID‐19 pandemic. These differences are linked to stablecoins' US dollar pegging mechanisms and regulatory constraints. The findings of this study enable comparisons of market efficiency between stablecoins and unpegged cryptocurrencies and offer insights for regulation and investment decisions.

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Economic theories and models
Original source
Jan 2, 2026¡arXiv (Cornell University)
0 cites
Second Thoughts: How 1-second subslots transform CEX-DEX Arbitrage on Ethereum

Aleksei Adadurov, S. Barseghyan, Anton Chtepine, Antero Eloranta ¡ 6 authors

This paper examines the impact of reducing Ethereum slot time on decentralized exchange activity, with a focus on CEX-DEX arbitrage behavior. We develop a trading model where the agent's DEX transaction is not guaranteed to land, and the agent explicitly accounts for this execution risk when deciding whether to pursue arbitrage opportunities. We compare agent behavior under Ethereum's default 12-second slot time environment with a faster regime that offers 1-second subslot execution. The simulations, calibrated to Binance and Uniswap v3 data from July to September 2025, show that faster slot times increase arbitrage transaction count by 535% and trading volume by 203% on average. The increase in CEX-DEX arbitrage activity under 1-second subslots is driven by the reduction in variance of both successful and failed trade outcomes, increasing the risk-adjusted returns and making CEX-DEX arbitrage more appealing.

Open access
3 source records
q-fin.TR
q-fin.CP
Financial Markets and Investment Strategies
Original source
Jan 1, 2026¡SSRN Electronic Journal
0 cites
Anatomy of Cryptocurrency Perpetual Futures Returns

Yi Cao, Pengfei Luo, Yuhan Cheng, Yizhe Dong

We analyse returns on cryptocurrency perpetual futures by first developing a cost-of-carry model tailored to digital assets. The model captures the link between spot and perpetual futures prices, implying a positive convenience yield and negligible off-chain storage costs. Furthermore, we employ a log-linear approximation to demonstrate that expected return of holding perpetual futures derive from the current log basis, misperception of forward-looking spot price, and expected futures-spot spreads over the “maturity” of futures contract. We then assess a comprehensive set of 170 return predictors, classified into categories of basis, momentum, liquidity, size, and volatility. Sorting based on these predictors yields 63 statistically significant total returns (i.e. price movement plus funding fee yields, with each exceeding the 5 significance level). Finally, we demonstrate that a two-factor model, based on the log-basis and a price-volume relevant factor, effectively explains all 63 strategies, highlighting the role of systematic drivers in perpetual futures markets.

Open access
2 source records
Blockchain Technology Applications and Security
FinTech, Crowdfunding, Digital Finance
Financial Markets and Investment Strategies
Original source
Jan 1, 2026¡SSRN Electronic Journal
0 cites
The CLARITY Act and Polymarket: A Controlled Econometric Analysis of Bitcoin Price Sensitivity

David Krause

This paper empirically examines the relationship between Polymarket prediction market odds for the passage of the Digital Asset Market Clarity Act (CLARITY Act) and the price of Bitcoin, while controlling for broader equity market movements. Using daily data from January 1 to April 4, 2026 (94 observations), the analysis first confirms that Bitcoin log-returns and changes in Polymarket odds are stationary (Augmented Dickey-Fuller p

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
FinTech, Crowdfunding, Digital Finance
Original source
Jan 1, 2026¡SSRN Electronic Journal
0 cites
Multi-Modal High-frequency Forecasting for the WETH/USDC Uniswap v3 Pool: Integrating on-chain DEX Metrics with advanced Machine Learning Models

Oluwamayowa Oyelere, Taiwo Lasisi

The rapid expansion of decentralized finance (DeFi) has generated rich, transparent on-chain data that remains largely underutilized in high-frequency trading models. Most existing studies rely primarily on centralized exchange (CEX) price feeds, which often suffer from low signal-to-noise ratios (Lim et al., 2021; Lee et al., 2025). This study develops a multi-modal forecasting framework for the WETH/USDC 0.05% fee tier pool on Uniswap v3. We integrate Binance CEX market microstructure data with granular onchain DEX metrics, including swap imbalance, on-chain volume, liquidity depth, tick velocity, and pool liquidity utilization. An XGBoost classifier was trained on synchronized 15-minute bars, with realistic cost-aware backtesting incorporating pool fees and slippage. The model achieved a directional accuracy of 63.26% on out-of-sample data. Feature importance analysis revealed that on-chain variables, particularly volume_usd, liquidity_usd, imbalance, and tick_velocity, ranked among the top predictors. In cost-aware backtesting, the strategy outperformed Buy & Hold by 2.49 percentage points, although absolute returns remained modestly negative due to transaction costs. This research demonstrates the incremental predictive value of integrating Uniswap v3 on-chain DEX metrics with CEX data for high-frequency forecasting. While transaction costs remain a significant challenge, the findings highlight the potential of multi-modal approaches in DeFi markets and provide a foundation for future work using more advanced architectures such as the Temporal Fusion Transformer..

Open access
Stock Market Forecasting Methods
Financial Markets and Investment Strategies
Blockchain Technology Applications and Security
Original source
Jan 1, 2026¡VBN Forskningsportal (Aalborg Universitet)
0 cites
Bitcoin as a Portfolio Diversifier within Institutional Mean Variance Frameworks

Francisco JosĂŠ De Jesus Pereira

This thesis investigates whether the integration of digital assets, specifically Bitcoin and <br/>Ethereum, into a traditional multi-asset institutional portfolio can produce superior out-of<br/>sample risk-adjusted performance relative to the conventional 60/40 equity-bond benchmark. <br/>Using a Mean-Variance Optimization (MVO) framework enhanced by Ledoit-Wolf <br/>covariance shrinkage, the study evaluates seven distinct portfolio configurations across an <br/>empirical window spanning January 2016 to May 2026, covering multiple market regimes <br/>including the 2020 COVID-19 liquidity shock, the 2022 inflationary spike, and the 2024 <br/>institutional crypto adoption phase. <br/>The empirical design employs a dual-mode out-of-sample validation strategy: a fixed-weight <br/>stability test and a rolling realism test with systematic rebalancing. Results suggest that <br/>portfolios enriched with Bitcoin tended to achieve superior Sharpe and Sortino ratios relative <br/>to the baseline within this sample period and asset universe. The Master Portfolio (Case 7), <br/>combining equities, bonds, Bitcoin, Ethereum, Gold, and Silver, attains a static Sharpe Ratio <br/>of 1.62, a static Sortino Ratio of 3.23 and a Maximum Drawdown of only −6.40%. These <br/>findings are consistent with the primary hypothesis (H₁) that, within this empirical setting, <br/>Bitcoin can improve out-of-sample risk-adjusted performance, while also providing evidence <br/>consistent with the secondary hypothesis (H₂) that Bitcoin acts primarily as a portfolio <br/>diversifier rather than a consistent safe haven. All results should be interpreted as conditional <br/>on the sample period, the chosen asset universe, and the rebalancing assumptions. All asset <br/>price data was sourced from Investing.com and the risk-free rate from the FRED 3-Month <br/>Treasury Bill series (TB3MS).

Open access
Blockchain Technology Applications and Security
Stock Market Forecasting Methods
Financial Markets and Investment Strategies
Original source
Jan 1, 2026¡SSRN Electronic Journal
0 cites
A Complete Taxonomy of Black-Scholes Greeks: Closed-Form Solutions for First, Second, and Third-Order Sensitivities

Felipe Del Valle Saragoni

We present the most complete unified taxonomy of Black-Scholes option price sensitivities (Greeks) available in the literature, encompassing 21 distinct measures through third order: first-order (Delta, Vega, Theta, Rho), second-order (Gamma, Vanna, Charm, Vomma, Veta, Vera, Dual Delta, Dual Gamma), third-order (Speed, Zomma, Color, Ultima, DvannaDvol, DvommaDspot), and portfolio-level (Dollar Delta, Dollar Gamma, Lambda). For each Greek we provide: (i) a fully explicit derivation from the dividend-adjusted Black-Scholes formula showing every application of the chain rule and product rule, (ii) alternative derivation paths including risk-neutral expectation differentiation and heat equation Green’s function representations, (iii) closed-form expressions for both European calls and puts, (iv) identification of put-call parity equivalences, (v) complete asymptotic analysis (deep ITM/OTM, short/long-dated, zero/high vol limits), (vi) monotonicity and convexity properties with extrema locations, (vii) dimensional analysis for practitioner interpretation, and (viii) practical trading context. We derive the Black-Scholes PDE from first principles via Itô’s lemma and the replicating-portfolio argument, establish the risk-neutral pricing connection, and prove the key symmetry lemma that simplifies every Greek derivation. The Gamma-Theta tradeoff is proved directly from the PDE with trading implications. The Vanna-Volga pricing method is derived from smile replication principles. We provide a complete treatment of sticky-strike versus stickydelta hedging conventions, delta hedging theory with continuous and discrete P&L analysis, Greeks under stochastic volatility (Heston model), numerical methods for Greeks computation (finite differences, pathwise, likelihood ratio, and adjoint algorithmic differentiation), and the behavior of Greeks near expiry including pin risk. A differential-geometric interpretation frames the Greeks as gradient, Hessian, and third-order tensor components on the six-dimensional Black-Scholes parameter manifold, with the PDE as a constraint surface. Fourth-order Greeks are derived and a convergence analysis of the Taylor price expansion justifies the third-order truncation for perturbations up to 10% of spot. Publication-quality three-dimensional surface visualizations for all 21 Greeks reveal the topology of each sensitivity across its natural parameter space. Formal proofs of all 12 put-call parity equivalences, a complete 21 Greek formula reference card, and a comprehensive monotonicity and extrema table are provided as appendices. A Python implementation with numerical verification against finite differences accompanies the paper, with over 50 figures. To our knowledge, this constitutes the most comprehensive rigorously derived reference for Black-Scholes Greeks in a single document.

Open access
Stochastic processes and financial applications
Risk and Portfolio Optimization
Financial Markets and Investment Strategies
Original source
Jan 1, 2026¡SSRN Electronic Journal
0 cites
Is Compute the New Oil? Cross-Asset Risk and the Case for a Dedicated Market

Doohwi Cha

GPU compute has become a multi-hundred-billion-dollar exposure underpinning AI, yet whether its price risk can be hedged with existing assets—and thus whether the dedicated compute-futures markets announced in 2026 are warranted—has, to our knowledge, not been tested. Using daily GPU rental-rate benchmark indices (via Bloomberg) for three generations (A100, H100, B200)—the first such cross-generation panel we are aware of—we ask whether compute is "the new oil": a hedgeable industrial commodity. We document its price dynamics—newer generations are far more jump-prone than oil or equities (though lower in overall volatility), with no volatility clustering—and a cross-generation price structure whose discounts shift over time. We then test cross-asset proxy hedging out-of-sample. GPU rental returns are weakly correlated (daily |ρ| ≲ 0.1) with NVIDIA, semiconductors, compute-infrastructure equities, and the broad market, and no minimum-variance proxy hedge delivers out-of-sample variance reduction distinguishable from zero—across the three generations, across horizons from daily to weekly (monthly and quarterly results are indicative only, given few non-overlapping blocks), and after multiple-testing, active-day (stale-filtered), and frontier-roll checks; a naïve one-for-one hedge sharply adds risk. This is a negative result on a short, stale sample: a power analysis shows the effective sample cannot resolve a true variance reduction below roughly 9%, so we report the absence of a detectable conventional hedge rather than proof of exact orthogonality. Even so, no detected hedge removes more than a small fraction of a jump-prone exposure, so the practical case for a direct instrument is little changed by that ceiling. We read the result constructively—a suggestive incomplete-market rationale for a dedicated market—while noting that the same weak correlation implies a liquidity paradox for those contracts, and we quantify the heightened exposures (not materially reducible by the proxies we test) in AI-training budgets and GPU-collateralized lending.

Open access
Blockchain Technology Applications and Security
Financial Markets and Investment Strategies
Market Dynamics and Volatility
Original source