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QuaScript

GARCH Forecast Cone

Admin's Choice NewFree

GARCH(1,1) sigma bands and a forward volatility cone

WebGPU StudioPrice overlay WebGPU CanvasHybridGradient fillDashboardLinesSignalsAlerts
quascriptgpuwebgpugarchvolatilitycone

Favourites and Admin's Choice analyses are listed in the terminal's indicators window under Analysis Marketplace.

Language
QuaScript
Engine
Native C++, incremental on live ticks
Rendering
WebGPU + Canvas
Placement
Price overlay
Settings
3
Plots
6
Lines of code
77
Source
presets/analysis/gpu/garch_forecast_cone.qs
GARCH Forecast Coneengine result
Loading the engine result…
quatick-charts · QuaScript engine on synthetic 1-minute bars · drag to pan · scroll to zoom · Run executes the script on the engine (⌘/Ctrl+Enter while editing)

About

A GARCH(1,1) volatility forecast turned into price ranges. On history, the bands are the one-bar-ahead 1, 2 and 3 sigma ranges around the previous close, filled with edge-anchored gradients that fade outwards. At the newest bar a forward cone shows the expected range for the next bars; its width follows the GARCH term structure (volatility decays towards its long-run level), not a flat square-root-of-time rule. Reading: a close outside the 2-sigma band is a genuine volatility event, outside 3 sigma a shock; a narrow cone with a high long-run level means volatility is likely to expand. Signals: 2- and 3-sigma breaches. Method: Bollerslev (1986), variance targeting.

6
Plotted series
3
Signal marks
2
Drawings
1
Alert rules
3
Settings
67
Lines of code

What it draws

Price overlay · counted from the engine's plot table and the script's draw calls

Series

  • Line4 visible · 2 helper
    +3 sigma+2 sigma-2 sigma-3 sigma
  • Band fills (render.band calls)5
Legend
+3 sigma +2 sigma -2 sigma -3 sigma

Signal marks

2-sigma breach up2-sigma breach down3-sigma shock

Drawings and chart effects

  • Dashboard tables1 created
  • Paths1 created

How it runs

From source to the live chart, for this script

  1. 1
    Compile

    The QuaScript compiler checks the 77-line script (67 lines of code) and lowers it for the native C++ engine. Compile errors point at the exact line and column.

  2. 2
    Place

    The header sets overlay = true, so everything is drawn on the price chart, on the same scale as the candles.

  3. 3
    Compute

    The script runs once per bar, oldest to newest. Each bar also runs 5 loops (5 for). 2 persist variables keep state (objects, counters) across bars.

  4. 4
    Stay live

    On the terminal the script keeps one live engine session: a tick rolls the forming bar back to its checkpoint and re-executes only that bar, and new bars are appended, so history is never rerun while the market moves. The live result is identical to a full run.

  5. 5
    Render

    The results are handed to the chart: series on WebGPU, drawings on the Canvas 2D QuaScript layer.

  6. 6
    Tune

    3 settings in 2 groups appear in the chart's settings dialog. Changing one reruns the engine with the new value.

Rendering

Hybrid: this script draws on 2 surfaces at once

WebGPUSeries renderer

The browser's modern GPU API. The chart uploads every line, band and mark of the script as GPU buffers and draws them in one pass, so dense heatmaps and dozens of series stay smooth while you pan and zoom. Without WebGPU support the chart's GPU layer falls back to WebGL 2, then Canvas 2D.

In this script
  • • 6 plotted series
  • • 5 band fill calls
  • • 3 signal mark types

Chosen by render = webgpu in the header.

WebGLNot used

GPU drawing through WebGL 2, available in every current browser. Used for chart-native profiles and for series that ask for it with backend = "webgl". Fast for large numbers of bars and wide fills.

CanvasUsed

The browser's 2D drawing API. Text-heavy and object-style output (dashboard tables, zones, tags, segments), candle colors and backgrounds are painted by the QuaScript layer, a Canvas 2D surface over the chart. Series use Canvas when the script's header does not ask for a GPU.

In this script
  • • 1 dashboard tables (QuaScript layer)
  • • 1 paths (QuaScript layer)

Alerts

1 alert rule declared with alert.rule

Volatility shock

The close moved more than three GARCH sigmas

Settings

3 settings, grouped as in the chart's settings dialog

GARCH
SettingTypeDefaultRange / optionsId
Alpha (shock weight)Number0.060.01 – 0.3, step 0.01alpha_shock_weight
Beta (persistence)Number0.920.5 – 0.99, step 0.01beta_persistence
Cone
SettingTypeDefaultRange / optionsId
Cone barsInteger205 – 120cone_bars

Script

packages/quascript/presets/analysis/gpu/garch_forecast_cone.qs

Header

analysis "GARCH Forecast Cone" {
    overlay = true
    render = webgpu
    short_title = GFC
    max_objects = 40
}
Total lines
77
Code lines
67
Comment lines
9
Helper functions
0
Loops
5
Persistent variables
2
Higher-interval feeds
0
Engine plots
6

Built with

Microstructure kernels (hft.*)
hft.garch
Lists (list.*)
list.clearlist.createlist.push
Math (math.*)
math.absmath.expmath.is_namath.powmath.sqrt
Imported modules
viz/premium

Discussion

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