
Derivative Pricing Model Validator
Validate derivative pricing models with analytical and numerical stress-testing
What You Can Do
You can systematically validate derivative pricing models before deployment by comparing analytical solutions against numerical methods, detecting arbitrage opportunities and calibration issues, and performing sensitivity analysis across market conditions. Claude orchestrates multi-framework validation workflows that stress-test exotic options under extreme scenarios, optimize computational efficiency, and generate audit-ready documentation for model governance—catching model errors before they propagate to trading systems.
Features
Compare Black-Scholes variants, local volatility, stochastic volatility (Heston, SABR), interest rate models (Hull-White, CIR), and jump-diffusion frameworks
Identify parameter instability across volatility surfaces and detect when models diverge from market prices
Benchmark analytical solutions against Monte Carlo simulations, finite difference methods, and lattice approaches
Test exotic options under extreme market conditions, parameter shifts, and regime changes with systematic scenario generation
Verify delta, gamma, vega, theta calculations for hedging accuracy and identify computational errors
Identify pricing inconsistencies, violations of no-arbitrage conditions, and mispricing patterns
Generate audit-ready validation reports with consistency checks, model limitations, and governance documentation
Compare computational efficiency across pricing methodologies with runtime and accuracy trade-off analysis
Example Output
Example 1: Heston Model Validation Report
- Calibration Status: ✓ Stable across 30-day to 2-year maturity range
- Comparison vs. Market: Max deviation 2.3% (within acceptable tolerance)
- Greeks Validation: Delta matches finite difference benchmark within 0.001
- Stress Test Results: Model remains stable under 50% volatility spike; Greeks smooth across strikes
- Recommendation: Approved for production use with daily recalibration
Example 2: Monte Carlo vs. Analytical Benchmark
- European Call (S=100, K=100, T=1Y): Analytical $10.45 vs. MC $10.48 (95% CI: $10.42-$10.54)
- Barrier Option Pricing Discrepancy: Analytical $8.23 vs. MC $7.91 (3.8% difference flagged for investigation)
- Computational Cost: Analytical 0.002s vs. MC 2.4s for equivalent accuracy
- Recommendation: Use analytical for European vanilla; Monte Carlo required for path-dependent exotics
Example 3: Calibration Issue Detection
- Parameter stability across term structure: ✗ Mean reversion jumps 200bps at 5Y tenor
- Volatility smile fit: ✗ Systematic overpricing of 10% OTM calls
- Root cause: Identified as market data outlier on 2024-01-15; recommend data cleaning
- Impact: Recalibration reduces hedging error by 45%
What's Included
- SKILL.md: Complete validation framework with model taxonomy and workflow orchestration
- Validation Template: Structured checklist for comparing analytical vs. numerical pricing methods
- Stress-Test Scenario Generator: Pre-built market regime definitions and extreme scenario matrices
- Calibration Diagnostic Worksheet: Parameter stability analysis framework and drift detection criteria
- Audit Report Template: Regulatory-compliant validation documentation with sign-off checkpoints
Who It's For
- Quantitative analysts — Building, validating, and deploying new pricing models in production environments
- Risk managers — Stress-testing existing models and identifying model limitations under extreme conditions
- Model validators — Performing independent validation of pricing methodologies for model governance
- Trading desk engineers — Optimizing computational efficiency and comparing pricing methodologies
- Compliance officers — Generating audit documentation and ensuring model validation governance standards are met
Best For
- Pre-deployment validation of new pricing models before production use
- Calibration diagnostics and parameter stability analysis across market conditions
- Benchmarking analytical solutions against numerical methods (Monte Carlo, PDE, lattice)
- Stress-testing exotic options and structured products under extreme market scenarios
- Greeks validation and hedging accuracy verification for risk management
- Arbitrage detection and pricing consistency checking across models
- Regulatory and internal audit documentation for model governance
- Computational efficiency optimization and runtime comparison across pricing methods







