📏Range Forecast 2026-10-15

Two-stage volatility model: expected high-to-low range with an 80% band. Range only — not direction.

Today's Range Forecast (pre-open)
This section answers one question only: how far price is likely to swing between the open and the close (high minus low). It does not forecast direction — the directional version has been backtested repeatedly and produced no reliable signal.
Symbol Tier Forecast day range 80% interval vs last 20d
SPY Normal 0.81% 0.47% ~ 1.43% Slightly above normal
A normal day with no particular signal. Run your usual parameters; no volatility-driven adjustment needed.
QQQ Normal 1.29% 0.78% ~ 2.17% Slightly above normal
A normal day with no particular signal. Run your usual parameters; no volatility-driven adjustment needed.
How to read this table
· Forecast day range: how far today's high is from today's low, as a percentage of the current price.For example 0.81% above means the day's high and low are expected to differ by about 0.81%.
· 80% interval:on 8 days out of 10 the actual value lands between 0.47% and 1.43%; on the other 2 it falls outside. That is the honest error band — the real value may be half the forecast, or half again as large.
· Tier: days are bucketed into large / medium / small. When it says “High”, about 6 times out of 10 the day really is large, versus barely 3 in 10 for a blind guess. Good enough to size positions and choose strike width; not good enough to compute precise P&L.
· “Tier” and “vs last 20d” can look contradictory, and that is normal: the tier compares against the past several years, the right-hand column against the last 20 days. “High tier but about normal” means the recent period has itself been high-volatility — today is not exceptional, but the overall environment is jumpy and position sizing should stay cautious.
· A 10:00 intraday revision email follows, folding in the actual range and volume from the first half hour; the forecast gets sharper then.
Technical: out-of-sample R² SPY 0.51 / QQQ 0.48, model refits on every run.

Full report: Morning report · Evening report

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Research output, not investment advice.