📈

Quantitative Time-Series Studio v1.0

Interactive Stochastic Modeling, Simulation & Forecasting Workbench

Configuration

Tune stochastic parameters and model properties

Historical Days 252
Forecast Horizon (Days) 40
Monte Carlo Simulations 100

Stochastic Differential Equation

dSₜ = μ Sₜ dt + σ Sₜ dWₜ

Calculated via Euler-Maruyama discretization.

Annualized Return

+10.2%

Annualized Vol

21.8%

Sharpe Ratio

0.28

Max Drawdown

-14.2%

Stochastic Path Projections & Fan Chart

Historical series coupled with Monte Carlo probabilistic density envelopes

95% Conf Band Median Path

Time Series Signal Decomposition

Orthogonal decomposition isolating underlying secular trend, seasonal oscillation, and noise residuals