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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.

169,341 papers · 148 categories

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1.4%2.8%4.2%5.6% · May 199819922001200920182026
48 results for defaultable securities

Researchers develop a new method to value securities with uncertain default or death times.

problem Valuation of securities with uncertain default or death times in markets with additional information.
method Expansion of filtration and martingale representation theorem to handle uncertainty and risk.
result Any martingale in the large filtration stopped at a random time can be decomposed into orthogonal local martingales.

Optimal credit and consumption strategies in a switching market with default contagion.

problem Optimal portfolio and consumption decisions in a credit market with default contagion.
method Cobb-Douglas utility, recursive ODE system, backward solution from all-default state.
result Existence and uniqueness of optimal feedback controls, verification theorem.

The paper analyzes corporate security prices in incomplete credit risk models.

problem Computing the price dynamics of traded securities in models with unobservable firm asset values.
method Transformed the stochastic filtering problem for the asset value into a filtering problem for a stopped diffusion process and applied filtering literature results.
result Obtained an SPDE-characterization for the filter density and determined the price dynamics of traded securities.

We consider the problem of maximizing expected utility for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian motions modulated by a hidden continuous time finite state Markov chain. We red…

2013-03-12abs ↗pdf ↗

In this paper incomplete-information models are developed for the pricing of securities in a stochastic interest rate setting. In particular we consider credit-risky assets that may include random recovery upon default. The market filtration is generated by a collection of information processes associated with economic…

2010-01-20abs ↗pdf ↗

While defaults are rare events, losses can be substantial even for credit portfolios with a large number of contracts. Therefore, not only a good evaluation of the probability of default is crucial, but also the severity of losses needs to be estimated. The recovery rate is often modeled independently with regard to th…

2012-03-14abs ↗pdf ↗

According to theoretical models of valuing risky corporate securities, risk of default is primary component in overall yield spread. However, sizable empirical literature considers it otherwise by giving more importance to non-default risk factors. Current study empirically attempts to provide relative solution to this…

2013-03-14abs ↗pdf ↗

Study optimal reinsurance and investment for insurers in defaultable markets.

problem Optimal reinsurance and investment strategy for insurers in defaultable markets.
method Super-sub solution techniques and verification theorem.
result Existence of a classical solution and explicit characterization of optimal policies.

The present paper introduces a jump-diffusion extension of the classical diffusion default intensity model by means of subordination in the sense of Bochner. We start from the bi-variate process (X,D)(X,D) of a diffusion state variable XX driving default intensity and a default indicator process DD and time change it wi…

2014-03-21abs ↗pdf ↗

The study calculates securities lending haircuts and indemnification costs.

problem Managing borrower default risk in securities markets.
method Repo haircut model applied to securities lending transactions; quantifies haircuts and indemnification costs.
result Computed borrower-dependent haircuts and indemnification costs for US Treasuries and equities.

This essay quantifies convexities in incomplete markets using entropy, adjusting prices for risk and incompleteness.

problem Quantifying convexities in incomplete markets and adjusting prices for risk and incompleteness.
method Using entropy, the essay quantifies convexities and adjusts prices for risk and incompleteness in incomplete markets.
result A new price principle derived from a log-martingale condition is introduced, matching risk aversion and adjusting for market incompleteness and default risk.

Study on price formation in financial markets with a single default event.

problem Equilibrium price formation in financial markets with a single default risk.
method Characterized optimal strategies using quadratic-growth BSDEs, derived market-clearing condition, and established mean-field BSDE solvability.
result Characterized equilibrium risk premium and its dependence on default risk factors.

Minimax defense improves neural network security against gradient-based attacks.

problem Gradient-based adversarial attacks on neural networks.
method Minimax optimization in a GAN framework to create a discriminator that plays a minimax game with the generator.
result Minimax defense significantly reduces adversarial attack success rates compared to standard classifiers.

This study quantifies systemic risk from overlapping portfolios in the Mexican financial system.

problem Systemic risk from indirect interconnections between financial institutions.
method Represented the Mexican financial system as a bipartite network of securities and financial institutions; quantified systemic risk from overlapping portfolios.
result Total systemic risk levels underestimated by up to 50% when only direct exposures are considered.

This econophysics work studies the long-range Ising model of a finite system with NN spins and the exchange interaction JN\frac{J}{N} and the external field HH as a modely for homogeneous credit portfolio of assets with default probability PdP_{d} and default correlation ρdρ_{d}. Based on the discussion on the $(J,H)…

2006-03-06abs ↗pdf ↗

Secure sum outperforms homomorphic encryption in collaborative deep learning.

problem Training deep learning models on private data from multiple parties without revealing the data.
method Used a secure sum protocol in conjunction with default secure channels.
result Secure sum protocol provides superior properties in terms of collusion-resistance and runtime.

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general eligible assets, including defaultable bonds. Since the payoff of these assets is not…

2012-03-20abs ↗pdf ↗

Network-based stress test assesses central counterparty resilience.

problem Quantifying resilience of central counterparties during financial distress.
method Network analysis of clearing members, simulating financial distress propagation.
result Default funds may not be adequate for systemic events, requiring conservative amounts.

We extend the now classic structural credit modeling approach of Black and Cox to a class of "two-factor" models that unify equity securities such as options written on the stock price, and credit products like bonds and credit default swaps. In our approach, the two sides of the stylized balance sheet of a firm, namel…

2011-10-26abs ↗pdf ↗

The paper identifies inconsistencies in post-crisis derivative pricing methods and derives no-arbitrage expressions.

problem Inconsistencies in post-crisis derivative pricing methods, particularly regarding cost components to a risk-free money account.
method Derives no-arbitrage expressions for default-risky derivative contracts with and without collateral.
result Avoids inconsistencies in derivative pricing methods by deriving no-arbitrage expressions.

In this paper, we analyze the diversity of term structure functions (e.g., yield curves, swap curves, credit curves) constructed in a process which complies with some admissible properties: arbitrage-freeness, ability to fit market quotes and a certain degree of smooth- ness. When present values of building instruments…

2014-04-01abs ↗pdf ↗

The paper analyzes debt recycling strategies for mortgage repayment, revealing complex phases of success and failure.

problem Evaluating the effectiveness of debt recycling strategies compared to standard mortgage repayment.
method Developed a dynamical model to study the time evolution of equity and mortgage balance under various conditions.
result The model identifies four phases: strongly successful, weakly successful, default, and permanent re-mortgaging, with sensitivity to initial conditions.

Modeling contagion effects in credit default risk with macroeconomic impact.

problem Capturing contagion and macroeconomic impacts on credit default risk.
method Set-valued Markov chain to model default process, deriving pricing formulas.
result Evidence supports contagion and macroeconomic risk as leading default factors.

Temporal coarse-graining of latent default paths explains effective correlation in corporate defaults.

problem Understanding effective default correlation in corporate defaults.
method Temporal coarse-graining of latent default-probability paths, applied to corporate default-count data.
result Temporal coarse-graining provides a scale-consistent baseline that improves identifiability and reduces over-allocation of long-horizon fluctuations.

We compare observed corporate cumulative default probabilities to those calculated using a stochastic model based on an extension of the work of Black and Cox and find that corporations default as if via diffusive dynamics. The model, based on a contingent-claims analysis of corporate capital structure, is easily calib…

2000-12-29abs ↗pdf ↗

We develop a dynamic point process model of correlated default timing in a portfolio of firms, and analyze typical default profiles in the limit as the size of the pool grows. In our model, a firm defaults at a stochastic intensity that is influenced by an idiosyncratic risk process, a systematic risk process common to…

2011-04-10abs ↗pdf ↗

The paper tackles uncertainties in corporate default risk predictions.

problem Evaluating uncertainties associated with corporate default risk predictions.
method Developed a procedure to quantify uncertainties by disentangling multiple contributing sources.
result Substantial uncertainties exist in default risk assessments.

Temporal aggregation reveals latent default correlation from monthly data.

problem Understanding effective default correlation from monthly default data.
method Temporal coarse-graining of latent default-probability paths.
result Temporal coarse-graining improves identifiability and reduces over-allocation of long-horizon fluctuations.

Extends contagion models to include direct and indirect impacts of defaults on the environment.

problem Capturing the impact of defaults on a broader economy.
method Introduces a new model allowing direct and indirect contagion within and from a default system.
result Shows how defaults within a system can affect the environment and vice versa.

The paper shows how to calculate risk-neutral default probabilities from bid and ask CDS quotes.

problem Calculating risk-neutral default probabilities from market quotes.
method Using conic finance framework and Poisson process to formulate and solve the calibration problem.
result A unique solution for risk-neutral default probabilities and implied liquidity.

We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events accounting for correlations between the default events and the associated losses. We…

2012-05-24abs ↗pdf ↗

Paper proposes a framework for precise daily default risk prediction of Chinese credit bonds.

problem Inadequate and inaccurate bond information disclosure creates risk of default for investors.
method Framework includes summarizing factors impacting defaults, constructing a risk index system, and using ConvLSTM neural network for prediction.
result The model provides more responsive and accurate daily default risk predictions than authoritative ratings.

The paper values and hedges EPS products with jumps and default risks.

problem Valuation and risk management of EPS products under financial crises and default risks.
method Developed pricing frameworks using jump-diffusion and default models, derived closed-form formulas, and analysed hedging strategies.
result Quantified residual losses from counterparty default risk and defined default-adjusted premiums.

Investors optimize equity and CDS trading to mitigate default risk.

problem Optimizing investment in equity and CDS markets to manage default risk.
method Semi-linear PDE for certainty equivalent, proving existence and optimality of policies.
result Optimal CDS policies cover both equity and future trading losses, increasing investor utility.

We develop a finite horizon continuous time market model, where risk averse investors maximize utility from terminal wealth by dynamically investing in a risk-free money market account, a stock written on a default-free dividend process, and a defaultable bond, whose prices are determined via equilibrium. We analyze fi…

2011-08-04abs ↗pdf ↗