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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.

169,291 papers · 148 categories

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3517021,0521,403 · Jun 202019922001200920182026
48 results for reduced-form models

This paper provides an alternative approach to Duffie and Lando [Econometrica 69 (2001) 633-664] for obtaining a reduced form credit risk model from a structural model. Duffie and Lando obtain a reduced form model by constructing an economy where the market sees the manager's information set plus noise. The noise makes…

2004-07-05abs ↗pdf ↗

One popular approach to model the limit order books dynamics of the best bid and ask at level-1 is to use the reduced-form diffusion approximations. It is well known that the biggest contributing factor to the price movement is the imbalance of the best bid and ask. We investigate the data of the level-1 limit order bo…

2015-08-31abs ↗pdf ↗

In recent years research on credit risk modelling has mainly focused on default probabilities. Recovery rates are usually modelled independently, quite often they are even assumed constant. Then, however, the structural connection between recovery rates and default probabilities is lost and the tails of the loss distri…

2011-02-23abs ↗pdf ↗

Paper extends credit portfolio valuation under model uncertainty for multiple default times.

problem Valuation of credit portfolio derivatives under model uncertainty for multiple default times.
method Introduces a sublinear conditional operator for a family of probability measures.
result Generalizes results for single default time to multiple default times.

Study on numerical analysis for corporate bonds using a unified 2 factor model.

problem Develop a numerical method to solve a unified 2 factor model for corporate bonds with fixed discrete coupons.
method Used explicit finite difference scheme to analyze stability and compute bond prices.
result Found conditions for the explicit finite difference scheme to be stable and computed bond prices, credit spread, and duration.

Corporate defaults may be triggered by some major market news or events such as financial crises or collapses of major banks or financial institutions. With a view to develop a more realistic model for credit risk analysis, we introduce a new type of reduced-form intensity-based model that can incorporate the impacts o…

2013-01-01abs ↗pdf ↗

Extends model uncertainty framework to non-linear affine processes for longevity bonds and contingent claims.

problem Model uncertainty and non-linear affine processes in financial markets.
method Extended reduced-form setting with affine process intensities, introduced longevity bond, and priced contingent claims.
result Consistent valuation of longevity bonds and arbitrage-free market under sublinear operator.

The current research on credit risk is primarily focused on modeling default probabilities. Recovery rates are often treated as an afterthought; they are modeled independently, in many cases they are even assumed constant. This is despite of their pronounced effect on the tail of the loss distribution. Here, we take a …

2011-02-15abs ↗pdf ↗

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by Guo et al.(2008) shows that the time difference between the economic and recorded …

2013-06-27abs ↗pdf ↗

Pricing formulae for defaultable corporate bonds with discrete coupons under consideration of the government taxes in the united model of structural and reduced form models are provided. The aim of this paper is to generalize the comprehensive structural model for defaultable fixed income bonds (considered in [1]) into…

2013-09-06abs ↗pdf ↗

The paper explains the fair basis in bond-CDS trading during financial crises.

problem Large basis trading losses during financial crises are not explained by reduced form models.
method Dynamic spread model with bond repo financing, economic capital approach.
result Unhedged and unhedgeable residual jump to default risk exists, affecting fair basis level.

We derive simple return models for several classes of bond portfolios. With only one or two risk factors our models are able to explain most of the return variations in portfolios of fixed rate government bonds, inflation linked government bonds and investment grade corporate bonds. The underlying risk factors have nat…

2010-11-14abs ↗pdf ↗

We analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for developing a conditionally Gaussian approximation to the loss distribution. Nume…

2013-04-04abs ↗pdf ↗

We show that wealth processes in the block-shaped order book model of Obizhaeva/Wang converge to their counterparts in the reduced-form model proposed by Almgren/Chriss, as the resilience of the order book tends to infinity. As an application of this limit theorem, we explain how to reduce portfolio choice in highly-re…

2014-09-25abs ↗pdf ↗

In this paper, we provide efficient estimators and honest confidence bands for a variety of treatment effects including local average (LATE) and local quantile treatment effects (LQTE) in data-rich environments. We can handle very many control variables, endogenous receipt of treatment, heterogeneous treatment effects,…

2013-11-11abs ↗pdf ↗

Study how firm liquidation regimes affect shareholder value and stability.

problem Balancing shareholder value and financial stability during firm liquidation.
method Modelled forced liquidation in reduced form, solved singular stochastic control problem.
result Combining distress regions below and above ruin threshold improves both shareholder value and firm survival.

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to a wide range of problems. Based on this model, we derive the joint distribution …

2016-03-09abs ↗pdf ↗

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of the order book. The resulting models are easy to calibrate and to analyze using st…

2010-06-23abs ↗pdf ↗

The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are derived, revealing how information driven default contagion arises in these models.…

2011-04-27abs ↗pdf ↗

Study Italian sovereign bonds pricing using multi-factor models.

problem Empirical analysis of multi-factor models for Italian sovereign bonds.
method Calibration of Cox-Ingersoll-Ross and Vasicek models using Kalman filter and maximum likelihood estimation.
result Optimization algorithms improve term structure fitting over 12 years, including financial crises.

Proposes a new estimator for weak instrumental variables in panel data models.

problem Weak instrumental variables due to ignored nonlinearities in panel data.
method Triangular simultaneous equation model with a nonlinear reduced form equation and a control function approach using Super Learner.
result The proposed SLCF estimator is consistent and asymptotically normal, achieving a parametric rate of convergence.

New methods improve temporal difference learning for policy evaluation in Markov decision processes.

problem Improving temporal difference learning for policy evaluation in Markov decision processes.
method Introduced variance-reduced forms of stochastic approximation to achieve non-asymptotic, instance-dependent optimality.
result Temporal difference learning is strictly suboptimal, but variance-reduced forms achieve optimality up to logarithmic factors.

In this paper, we study a continuous time structural asset value model for two correlated firms using a two-dimensional Brownian motion. We consider the situation of incomplete information, where the information set available to the market participants includes the default time of each firm and the periodic asset value…

2014-09-04abs ↗pdf ↗

Motivated by the interplay between structural and reduced form credit models, we propose to model the firm value process as a time-changed Brownian motion that may include jumps and stochastic volatility effects, and to study the first passage problem for such processes. We are lead to consider modifying the standard f…

2009-04-15abs ↗pdf ↗

The paper uses deep neural networks to estimate economic models without separability restrictions.

problem Estimating economic models with complex interaction effects and non-separable restrictions.
method Uses deep neural networks as a nonparametric sieve to approximate regression functions from nonlinear latent variable models.
result Economic shape, sparsity, or separability restrictions are imposed more straightforwardly when a flexible latent variable model is used.

Investors target specific regions of payoff distributions for portfolio optimization.

problem Optimizing portfolio performance across different return distribution regions.
method Developed a dynamic portfolio-choice framework targeting downside or upside quantiles.
result Policies focused on downside regions provide stronger left-tail protection and higher Sharpe ratios.

We give a comprehensive review of credit term structure modeling methodologies. The conventional approach to modeling credit term structure is summarized and shown to be equivalent to a particular type of the reduced form credit risk model, the fractional recovery of market value approach. We argue that the corporate p…

2009-12-23abs ↗pdf ↗

Study tests how U.S. equity prices align with global asset frequencies using financial variables.

problem Testing whether U.S. equity prices align with global asset frequencies using financial variables.
method Examines SPX and RUT gaps, uses OIS-based funding, volatility, trading-friction, financial-condition variables, and residual information.
result Gains in fit survive broad-dollar neutralization, alternative blocks, PCA, residualization, and nested horizon selection, supporting reduced-form P-Q alignment.

Endogenous business cycles explain higher comovement across countries.

problem Standard models struggle to explain high comovement in business cycles across countries.
method Developed a demand-driven reduced-form model with strategic complementarities and international trade linkages.
result Combining endogenous business cycles with exogenous shocks matches empirical comovement levels.

Study reveals a hidden cost in derivatives markets through option-implied discount factors.

problem The hidden cost in derivatives markets, not visible in price space.
method Minute-level NBBO data on options, reduced-form specification linking carry gap to implementation risk, trading frictions, and financial conditions.
result An annualized carry gap exists, linked to implementation risk and financial conditions.

The paper develops a hybrid model for optimal order execution in markets with heterogeneous market makers.

problem Optimal liquidation in markets with limited inventory and risk capacity.
method Derives a reduced form model for aggregated inventory dynamics considering price impact.
result Optimal execution can be modeled as a linear-quadratic stochastic control problem.

Paper forecasts corporate default risk using Particle MCMC with expert opinions.

problem Predicting corporate default risk in the U.S. market.
method Bayesian approach with Particle Markov Chain Monte Carlo (Particle MCMC) algorithm.
result Volatility and mean reversion of hidden factor significantly impact default intensities.

Minimal Lagrangian submanifolds are equivalent to their reduced forms in Kähler quotients.

problem Finding minimal Lagrangian submanifolds in complex manifolds.
method Using Kähler reductions and Hsiang-Lawson metrics to relate minimality of submanifolds to their reduced forms.
result The minimality of a Lagrangian submanifold is equivalent to that of its reduced form in a Kähler quotient.