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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,181 papers · 148 categories

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48 results for Collateralization

Study how network structure affects collateral dynamics in banking systems.

problem Effects of network structure on collateral volume and hoarding in banking systems.
method Simple model of bank interactions via repo contracts and rehypothecation.
result Network structures with concentrated collateral flows are more exposed to large hoarding cascades.

This study examines the collateral choice option and its valuation and hedging.

problem Non-zero collateral basis spreads impact asset valuation and require complex modeling.
method Develops a stochastic valuation model for the collateral choice option and proposes hedging strategies.
result The stochastic model attributes risks to all involved collateral currencies, unlike the deterministic model.

New model prices collateralized financial derivatives considering bankruptcy laws.

problem Inaccurate pricing of collateralized financial derivatives due to neglecting collateral and credit risk.
method Developed a new model that incorporates both collateral posting and credit risk.
result Proper accounting for collateralization is crucial for accurate pricing of financial derivatives.

Develops a new model for collateral choice options under stochastic rates.

problem Challenges in quantifying the value of collateral choice options under stochastic rates.
method Develops a scalable and stable stochastic model of collateral spreads under conditional independence, using a common factor approximation.
result Second order model yields accurate results for the value of the collateral choice option.

Cash collateral is perfect in that it provides simultaneous counterparty credit risk protection and derivatives funding. Securities are imperfect collateral, because of collateral segregation or differences in CSA haircuts and repo haircuts. Moreover, the collateral rate term structure is not observable in the repo mar…

2017-02-14abs ↗pdf ↗

New model values CDS contracts considering multiple credit risks and collateralization.

problem Valuation of CDS contracts affected by multiple credit risks and collateralization.
method Developed a new model to value CDS contracts, considering default dependency and collateralization.
result Default dependency significantly impacts asset pricing and full collateralization does not eliminate counterparty risk.

Develops a haircut model for non-cash collateral.

problem Addressing the need for accurate non-cash collateral valuation in shadow banking and OTC derivatives markets.
method Expands haircut definitions, uses a double-exponential jump-diffusion model, and solves for credit risk measurements.
result Computational results show potential for collateral agreements and regulatory capital calculations.

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between Merton-type and Black-Cox-type structural default models. Our framework leads to a singl…

2013-02-19abs ↗pdf ↗

Study multi-currency markets with multiple interest rates and collateral.

problem Characterize absence of arbitrage in a multi-currency market.
method Generalize results from Bielecki and Rutkowski (2015) to a multi-currency framework, linking with Piterbarg (2012), Moreni and Pallavicini (2017), and Fujii et al. (2010b). Characterize absence of arbitrage without collateral, then study collateralization schemes under various conventions.
result Complete study of absence of arbitrage and pricing in multi-currency markets with multiple interest rates and collateral.

Extends pricing theory for collateralized derivatives to include jumps and dividends.

problem Pricing collateralized derivatives with jumps and dividends.
method Extends No-Arbitrage theory to semimartingales, deriving pricing, dynamics, and forward prices.
result Derives pricing, dynamics, and forward prices of collateralized derivatives.

The paper tackles dynamic collateral control for spot-perpetual basis trading in decentralized finance.

problem Dynamic control of collateral in spot-perpetual basis trading in decentralized finance.
method Solves a static control problem and derives an asymmetric dynamic extension, validated with live execution.
result The dynamic control approach provides a more robust operating benchmark and shows significant rebalancing effects.

Model explains deleveraging risks in non-custodial stablecoins.

problem Deleveraging risks in non-custodial stablecoins during market crises.
method Developed a stochastic model incorporating speculators' profit optimization and collateral liquidation costs.
result Identified deflationary deleveraging spirals and higher price variance in unstable domains.

The paper develops a new formula for financial pricing under multiple interest rates and collateralization.

problem Financial pricing under multiple interest rates and collateralization.
method Derives a change of measure formula for recursive conditional expectations in a jump-diffusion setting.
result Generalizes the change of numéraire technique for multiple interest rates and collateralization.

A framework for fair derivative contract pricing and risk-sharing between parties with funding differences.

problem Price asymmetry due to funding differences in bilateral contracts.
method Defines a negotiation problem that maximizes the sum of utilities for two parties, deriving optimal prices and collateral.
result Optimal negotiation price and collateral can be used to interpret margin requirements.

A quantum framework optimizes collateral allocation for derivatives.

problem Legal constraints and operational rules in collateral allocation for derivatives.
method Certified higher-order quantum framework that normalizes margin requirements and builds a bounded neighborhood of actions.
result Quantum framework improves certified sample quality compared to classical methods.

Modeling bank portfolio risk under climate transition impacts.

problem Evaluating risk measures for a bank's collateralized loans in a climate transition economy.
method Developed an end-to-end modeling framework using stochastic processes and dynamic macroeconomic variables.
result Derived expressions for risk measures as functions of climate transition parameters.

Study confirms eurozone interbank market stability but finds higher collateral reuse.

problem Analyzing eurozone interbank market behavior and stability.
method Examined secured transactions data from ECB, tested stylized facts, measured network properties.
result Observed higher collateral reuse and network symmetry compared to unsecured markets.

We analyze the counterparty risk embedded in CDS contracts, in presence of a bilateral margin agreement. First, we investigate the pricing of collateralized counterparty risk and we derive the bilateral Credit Valuation Adjustment (CVA), unilateral Credit Valuation Adjustment (UCVA) and Debt Valuation Adjustment (DVA).…

2011-04-13abs ↗pdf ↗

In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable trace of the counter party as well as the investor in the price of CDS through thei…

2011-04-11abs ↗pdf ↗

Study optimizes Bitcoin futures hedging to reduce liquidation risk.

problem Optimizing hedging strategies to minimize liquidation risk in Bitcoin futures.
method Derived a semi-closed form optimal hedging strategy considering spot and futures extreme returns, loss aversion, leverage, and collateral management.
result Optimal strategy reduces both hedged portfolio variance and liquidation probability.

Hybrid LLM and quantum optimization improve CSA collateral management by 9-10%.

problem Finance-native collateral optimization under ISDA CSAs with legal constraints.
method Hybrid pipeline combining LLM, quantum-inspired exploration, and CP-SAT.
result Improves a strong classical baseline by 9.1-10.7% across different scenarios.

In this paper we discuss the issue of computation of the bilateral credit valuation adjustment (CVA) under rating triggers, and in presence of ratings-linked margin agreements. Specifically, we consider collateralized OTC contracts, that are subject to rating triggers, between two parties -- an investor and a counterpa…

2012-05-30abs ↗pdf ↗

The study analyzes pricing and hedging of STCDOs using an affine model with a catastrophic risk component.

problem Pricing and hedging of collateralized debt obligations (CDOs) with specific focus on mezzanine and equity tranches.
method Specified an affine two-factor model with a catastrophic risk component, estimated using QML and Kalman filter, derived variance-minimizing strategy, analyzed actual performance and simulated extreme loss scenarios.
result The variance-minimizing strategy is most effective for mezzanine tranches but fails for equity tranches.

Unified valuation theory for credit risk, defaults, and funding costs.

problem Valuation under credit risk, defaults, and funding costs.
method Unified valuation theory expanding replication approach to incorporate credit risk, defaults, and funding costs.
result Clarifies the relationship between the adjusted cash flows approach and the replication approach.