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RESEARCH · QUANTITATIVE FINANCE

Stochastic modeling applied to corporate credit risk underwriting

Beyond static accounting ratios, we engineer continuous-time probabilistic models to measure corporate vulnerability to liquidity crunches and tail-risk shocks.

Photographie conceptuelle Hipparchus

Quantitative Desk · Stochastic Modeling · Paris

MODEL SPECIFICATIONS

Quantitative Desk Technical Architecture

99.9%
Intervalles de Confiance VaR
Modélisation stochastique des queues de distribution
Merton Extended
Structural default model
Collateral recovery integration
GARCH (1,1)
Volatility clustering model
Conditional variance
Clayton Copulas
Asymmetric tail dependence
Systemic contagion analysis
0.01 bps
Calibration precision
Benchmarked on sovereign yield curves
THEORETICAL FRAMEWORK

Academic foundations & proprietary methodologies

A fully documented empirical framework where mathematical assumptions are benchmarked against live debt market transactions.

01 · STRUCTURAL MODEL

Extended Merton Structural Model

Equity is modeled as a European call option written on total corporate assets. We enhance classical formulation with stochastic default boundaries and illiquid real collateral assets.

02 · MARKET REGIMES

Regime-Switching Models

Market volatility is not constant; it alternates between dormant states and severe stress phases. Our Hidden Markov Models detect regime transitions prior to spread widening.

03 · TAIL RISK DYNAMICS

Extreme Value Theory (EVT)

Gaussian distributions drastically underestimate the probability of tail market events. We apply the Generalized Pareto Distribution to model fat tails and compute extreme Value-at-Risk (VaR 99.9%).

INGÉNIERIE QUANTITATIVE SUR-MESURE

Access time-series datasets & research notebooks

Data series generated by our quantitative observatory are made accessible to academic researchers and institutional counterparties upon formal application.

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