GARCH(1,1) Volatility: Measures the "momentum of fear" — if annualized vol is spiking above 25%, volatility clustering is active. Hidden Markov Model (HMM): Unsupervised machine learning classifying whether the macro environment is currently Bullish (high returns, low vol), Bearish (negative returns, high vol), or Sideways (mean-reverting consolidation). Correlation Matrix: Green (>0.6) means assets move in lockstep; lower correlation enables superior portfolio diversification.
Multi-Asset Price History
1Y Daily Log-ReturnsVolatility: EWMA vs GARCH(1,1)
Annualized Conditional VolHidden Markov Model Regime
SPY Gaussian HMMCross-Asset Correlation Matrix
Ledoit-Wolf ShrinkageValue at Risk (VaR 99%): The boundary of normal bad days — on 99 out of 100 days, your portfolio will not lose more than this amount. Expected Shortfall (CVaR 99%): The true crisis metric — the average loss expected when that 1% disaster strikes. CVaR Optimizer: Allocates capital to specifically minimize your loss during market crashes (rather than classical Markowitz which treats good gains as risk). Kupiec & Christoffersen: Basel III statistical tests verifying that your risk model is accurate and tail breaches do not clump together.
Tail Risk: VaR vs CVaR (99% Confidence)
Historical / Parametric / Monte CarloCVaR Optimal Portfolio Allocation
Min Expected Shortfall (SLSQP)Black-Litterman Global Bayesian View Integrator
Blend market-implied equilibrium returns with subjective quantitative views to eliminate mean-variance portfolio instability.
Walk-Forward Portfolio Backtest
With 10bps Transaction Cost DragStress Testing & Macro Scenarios
Base ₹1,00,00,000| Scenario | Description | Impact % | Impact ₹ |
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Regulatory Model Validation
Basel III BacktestingBloomberg PORT: Brinson-Fachler Multi-Factor Attribution
Decomposes active portfolio returns into pure Sector Allocation (\(A_i\)), Stock Selection (\(S_i\)), and Interaction (\(I_i\)) effects vs benchmark.
| Sector | Port Wt | Bench Wt | Alloc (bps) | Select (bps) | Active Alpha |
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Institutional Crisis Replay & Macro Shock Simulator
Replay actual historic market dislocations against your active portfolio capital & compute exact drawdown recovery horizons.
8-Crisis Historical Replay Simulator & Shockwave Engine
Simulate real-time portfolio liquidity drawdowns, VIX spikes, and margin haircuts under historic black swan shocks.Brinson-Fachler Factor Attribution & Multi-Asset Alpha Decomposition
Decomposes active portfolio return against benchmark into Allocation Effect (\(A_i\)), Selection Effect (\(S_i\)), and Interaction Effect (\(I_i\)).
| Sector / Asset Class | Portfolio Weight (\(w_p\)) | Benchmark Weight (\(w_b\)) | Portfolio Return (\(r_p\)) | Benchmark Return (\(r_b\)) | Allocation Effect (\(A_i\)) | Selection Effect (\(S_i\)) | Total Alpha Contribution |
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Kalman Filter Dynamic β: The real-time hedge ratio telling you how many shares of Asset B to short for every 1 share of Asset A you buy. Z-Score Signal: When Z > +2.0, the spread is abnormally wide (Short the spread). When Z < -2.0, the spread is abnormally narrow (Long the spread). OU Half-Life: The exact expected number of days for the spread to mean-revert back to equilibrium. Nelson-Siegel-Svensson & PCA: Fits continuous yield curves; 2s10s slope indicates steepener/flattener trades, and PC1/PC2/PC3 explain 99%+ of curve shifts.
Kalman Filter Dynamic Hedge Ratio (β)
AAPL vs MSFTNelson-Siegel-Svensson Yield Curve
3M to 30Y US TreasuriesStatistical Arbitrage & Cointegration Pairs Screener
Live Augmented Dickey-Fuller (ADF) test & Ornstein-Uhlenbeck mean-reversion speed for cross-asset hedge pairs.
Ornstein-Uhlenbeck (OU) Mean Reversion
Statistical Arbitrage Half-LifeYield Curve PCA Factor Structure
Shift (86.4%) · Twist (10.8%) · Butterfly (2.8%)Bloomberg YCRV / CDSW: Key Rate Durations (KRD) & Hazard Rate Curve
Multi-tenor localized curve sensitivity (\(DV01\)) and sovereign credit default swap hazard rate intensity \(\lambda(t)\).
Key Rate Durations (\(DV01\) per \(\pm 1\text{bp}\) Shift):
CDSW Sovereign Credit Hazard Curve (\(\lambda_t\)):
Futures Market: Cost-of-Carry & Cash & Carry Basis Arbitrage
Live Spot vs Futures Basis (\(F - S\)), Cost-of-Carry Theoretical Fair Value, and Cash & Carry Arbitrage Execution Engine.
Level-2 DOM Ladder: The live queue of buyers (green) and sellers (red) waiting at each price level. Micro-Price: The true fair price weighted by bid/ask queue sizes; if bid size dominates, Micro-Price sits above Mid-Price, forecasting an upward tick. Order Flow Imbalance (OFI): Net volume buying pressure (+1.0 strong buyers, -1.0 strong sellers). VPIN Toxicity: Flags when aggressive institutional informed traders are active, warning market makers of imminent adverse selection. Almgren-Chriss: Slices large institutional orders to minimize market impact while managing volatility risk.
Level-2 Order Book (DOM Ladder)
Almgren-Chriss Optimal Liquidation Trajectory
Market Impact vs Volatility RiskInstitutional TCA (Transaction Cost Analysis) Breakdown
Deconstruct execution friction: Implementation Shortfall, Delay Cost, Temporary Market Impact, and Exchange Fees.
Level-3 Limit Order Book (LOB) Depth Heatmap & Iceberg Detector
Real-time historical depth wall visualization, queue cancellations, VPIN toxicity, and iceberg spoofing detection.Order Flow Imbalance (OFI) & Micro-Price
Queue-Weighted Fair ValueVPIN Toxicity & Informed Trading Meter
Volume-Synchronized Probability of ToxicityAlgorithmic Order Execution Slicer (TWAP / VWAP / POV / Almgren-Chriss)
Simulate institutional parent-child order splitting, volume-weighted participation rates, and dynamic slippage minimization.
Delta (Δ) & Gamma (Γ): Delta is your directional exposure (and stock hedge ratio); Gamma is how fast your Delta changes when the stock moves. Vega & Theta (Θ): Vega measures sensitivity to volatility changes; Theta is the daily dollar decay you earn/pay over time. Cross-Greeks (Vanna, Volga, Charm): Vanna measures how your Delta shifts when volatility moves; Volga measures your exposure to Volatility Smile convexity; Charm is Delta decay per day. Delta-Hedging Simulator: Shows how continuous stock rebalancing replicates an option payoff and locks in theoretical PnL after transaction costs.
Real-Time Analytical Black-Scholes Greeks Sandbox
Continuous SDE ModelVolatility Smile / Skew Structure
SVI / SABR Moneyness (0.8 - 1.2)Discrete Delta-Hedging Simulator (30 Days)
Gamma PnL vs Theta Drag with Cost1st & 2nd Order Analytical Greeks Matrix
Black-Scholes-Merton European AnalyticalBloomberg OVME: Hagan Analytical SABR Smile vs Dupire Local Vol Surface
Simultaneous closed-form Hagan (2002) asymptotic expansion \(\sigma_{\text{SABR}}(K, F)\) and Dupire (1994) forward PDE local volatility \(\sigma_{\text{loc}}(K, T)\).
Dupire Local Vol PDE Surface Slices:
Interactive 3D Implied Volatility Surface (\(K \times T \times \sigma_{\text{implied}}\))
Rotatable 3D parametric surface mesh rendering Strike vs Expiration vs Implied Volatility with Gatheral SVI and Heston stochastic calibration.Multi-Leg Derivatives Strategy Studio & Volatility Skew Arbitrage
Construct institutional multi-leg structures, evaluate expiration payoff diagrams, aggregated Greeks, and scan for SABR smile arbitrage.
Equal Risk Contribution (Risk Parity): Instead of putting equal dollars in each stock, Risk Parity allocates inverse to volatility so every asset contributes the exact same amount of portfolio risk. Brinson-Fachler Attribution: Proves whether your outperformance came from smart sector betting (Allocation Effect) or picking individual winning stocks (Selection Effect). Fractional Kelly: Mathematical sizing maximizing compound capital growth while preventing catastrophic drawdowns. Execution Simulator: Routes trades with VWAP/TWAP order slicing to minimize market impact.
Bloomberg BTAC: Institutional Kelly Criterion Capital Sizing
Calculates optimal compounding capital fractions (\(f^* = p - \frac{1-p}{b}\)) to maximize long-term geometric growth while constraining drawdown variance.
Equal Risk Contribution (Risk Parity)
Marginal Volatility BudgetingBrinson-Fachler PnL Attribution
Allocation vs Selection vs InteractionRegime-Adaptive Trading Signals
Multi-Factor Quantitative Filter| Ticker | Regime | Strategy | TSMOM Score | Vol Sizing | Direction | Confidence | Chandelier Stop | Rationale |
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Institutional Order Execution Simulator
VWAP / TWAP Dynamic SlicingPersistent Database Trade History (SQLite)
Live SQLite ORM Record| Order ID | Symbol | Side | Qty | Type | Avg Fill | VWAP Bench | Slippage | Total Cost | Status |
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Backtrader Cerebro Strategy Studio
Python Backtrader engine emulator: Strategy lifecycle, slippage, commission drag, and Van Tharp SQN / Sharpe / VWR Analyzers.
Google Research TimesFM 3.0 • Multi-Quantile Transformer Forecaster
Decoder-only Foundation Model for Time Series (arXiv:2310.10688) • Stacked Mixing Transformer, Context Patch=32, Horizon Patch=64, Iterative RevIN.10,000-Path Monte Carlo: Simulates Geometric Brownian Motion with Merton Jump Diffusion to construct full empirical density trajectories. Fan Chart Percentiles: Outer bands represent 5th and 95th confidence bounds (bear vs bull cases); center line tracks median expectation ($P_{50}$). Prophet Decomposition: Isolates polynomial macro trends from weekly and monthly Fourier cyclical seasonality.
Stochastic Projection Parameters
10,000-Path Monte Carlo Quantile Fan Trajectory
95% Confidence CorridorInstitutional Prediction Markets & Probability Contracts
Hanson LMSR Automated Market Maker (\(C(\mathbf{q}) = b \ln \sum e^{q_i/b}\)), continuous crowd implied probabilities, and direct binary hedging.