# Standard-deviation Projections

A Smart Money Concepts / ICT concept (Premium/discount framework) in the LuxAlgo Library, with 2 indicator implementations.

## What are Standard-deviation Projections?

Standard-deviation projections extend the height of a completed range in multiples above and below it, mapping where a later expansion might reach. Despite the name, nothing statistical is computed: in ICT usage one "standard deviation" equals the height of the anchor range, laddered outward in whole and half multiples (±1, ±2, ±2.5, up to ±4 in common practice). The classic anchor is a defining range from the quiet part of the forex day: the Central Bank Dealers Range (CBDR) formed in the New York afternoon-to-evening lull, the Asian range, or the "flout", a related range from the early forex material.

The technique traces to the teaching of Michael Huddleston, the Inner Circle Trader (ICT), whose early forex material projected the CBDR and Asian range to estimate where the next day's high or low might form. The underlying idea is older measured-move logic, a consolidation's height setting the yardstick for the expansion that leaves it; the ICT ladder formalizes that yardstick into fixed multiples.

The premise is that expansion out of consolidation tends to travel a measured multiple of that consolidation, so the bands act as candidate zones for the coming session's high or low. Newer applications anchor the ladder to an opening range or to the manipulation leg of a session (the Judas swing) and project in the direction of the expected expansion. Either way the bands are map lines, not confidence intervals, and are normally read with structure rather than traded on contact.

The appeal is a pre-drawn session map. Within the [accumulation-manipulation-distribution](https://www.luxalgo.com/library/concept/accumulation-manipulation-distribution/) template, projections of the manipulation leg estimate where distribution might exhaust, which is where the day's extreme is hunted. And because the anchor ranges repeat at fixed clock times inside [killzones](https://www.luxalgo.com/library/concept/killzones/), the ladder pairs naturally with [ICT session ranges](https://www.luxalgo.com/library/concept/ict-session-ranges/): the same few windows supply the anchor each day.

## How to draw standard-deviation projections on a chart

The ladder takes a minute to build once the anchor range is chosen.

1. Choose the anchor: the CBDR, the Asian range, an opening range, or the manipulation leg of the current session.
2. Mark the anchor's high and low and measure its height; that height is one "standard deviation" in this method.
3. Project multiples of that height above and below the range, commonly the whole and half steps out to ±4, using a Fibonacci tool set to those levels or a dedicated script.
4. For directional anchors such as a manipulation leg, set 0 at the leg's origin and 1 at its end, so the negative multiples extend beyond the swing in the expansion direction.
5. Note which rungs coincide with independent levels, such as prior highs or lows holding [session liquidity](https://www.luxalgo.com/library/concept/session-liquidity/) or an untouched [fair value gap](https://www.luxalgo.com/library/concept/fair-value-gap/); confluent rungs carry the most weight.

## How it's calculated

Price targets projected beyond a reference range in multiples of that range's own height.

```
R = H_ref - L_ref
U_k = H_ref + k × R
D_k = L_ref - k × R

  H_ref: high of the reference range or leg
  L_ref: low of the reference range or leg
  R: height of the reference range, used as one deviation
  k: deviation multiple (commonly 1, 1.5, 2, 2.5, 3 or 4)
  U_k: level k deviations above the range high
  D_k: level k deviations below the range low
```

Despite the name no statistical variance is involved; one deviation equals the height R of the reference range or leg.

Common ICT anchors are the Asian range, the Central Bank Dealer Range and a manipulation leg, often drawn with a Fibonacci tool as negative extensions (-1, -1.5, -2, -2.5, -4).

When the reference is a directional leg, only the levels on the expected expansion side are used.

## How traders use it

- As session-extreme framing (the classic use): project the CBDR or Asian-range ladder before London opens and treat the outer bands as zones where the day's high or low may form. A quiet day that never reaches the first band is information too.
- As post-manipulation targets: anchor the ladder to the leg that ran the liquidity, then project deviations in the expansion direction as scale-out zones. The commonly watched multiples (−2, −2.5, −4) are convention within the methodology, not measured probabilities.
- As a confluence filter: a band that lands on a higher-timeframe level, deep in premium or discount of the working range, or on an [order block](https://www.luxalgo.com/library/concept/bullish-bearish-order-block/) is treated as far more interesting than one floating in isolation.
- As a reversal-hunting frame: a [liquidity sweep](https://www.luxalgo.com/library/concept/liquidity-sweep/) that terminates into an outer rung pairs a run on a [liquidity pool](https://www.luxalgo.com/library/concept/liquidity-pool/) with a completed projection; many traders then wait for an [optimal trade entry](https://www.luxalgo.com/library/concept/optimal-trade-entry/) retracement once price turns.
- As pre-defined trade management: the rungs are fixed once the anchor completes, giving objective session targets and keeping management mechanical rather than improvised.

## Standard-deviation projections vs. related ICT tools

- **ICT Session Ranges** (https://www.luxalgo.com/library/concept/ict-session-ranges/): Session ranges mark each trading window's high and low; projections take one completed range and extend its height outward, turning a static range into a forward map.
- **Killzones** (https://www.luxalgo.com/library/concept/killzones/): Killzones say when expansion is likely; projections estimate how far it might carry. An outer rung reached inside a killzone is the higher-interest version of either signal alone.
- **ICT Time Anchors** (https://www.luxalgo.com/library/concept/ict-time-anchors/): Time anchors fix the clock moments (midnight open, session opens) that start and end the anchor ranges; the projection ladder is one of the tools hung off those times.

## FAQ

### Are ICT standard deviations real statistical standard deviations?

No; no mean or variance is computed anywhere. In this usage one "standard deviation" simply equals the height of the anchor range, and the projection ladder is that height repeated in whole and half multiples above and below. The borrowed name has stuck, but mechanically the tool is a measured-range extension, closer to a Fibonacci extension than to statistics.

### Do standard-deviation projections always get hit?

No. No band is owed a touch. ICT material commonly watches the first four deviations, with the 2 to 2.5 zone often cited for session extremes, but a quiet day can fail to reach even one deviation while a news-driven day runs through four. Most traders treat the bands as candidate zones that need structure or a confluent level before they act.

### What is the CBDR in ICT trading?

The Central Bank Dealers Range is the consolidation of the New York afternoon-to-evening lull, roughly 2:00 pm to 8:00 pm New York time in the classic material. ICT's early forex teaching treated its height as the day's base unit and considered narrow CBDRs the most workable anchors, since a wide one produces rungs too far apart to be useful.

### Which anchor range should I use for the projections?

It depends on model and market. The CBDR and Asian range are the classic overnight anchors for forex; index traders often ladder an opening range instead; intraday models anchor the manipulation swing that sweeps liquidity before the real move. The common thread is a completed range from a repeatable time window rather than an arbitrary swing.

### How do the projections fit the daily AMD template?

In the accumulation-manipulation-distribution reading of a session, the anchor range is accumulation, the run through one side of it that sweeps resting orders (the [inducement](https://www.luxalgo.com/library/concept/inducement/)) is manipulation, and projections of that manipulation leg estimate where distribution may exhaust, with the −2 to −2.5 region a commonly watched zone.

### Can standard-deviation projections be used outside forex?

Yes. Any completed range from a fixed, repeatable window can be laddered: index futures traders use opening ranges, crypto traders Asian-hours or weekend ranges. What changes is which window matters, since the original CBDR logic leaned on the forex day's rhythm.

## Implementations in the Library

- CISD Projections (LuxAlgo): https://www.luxalgo.com/library/indicator/cisd-projections/
- HTF CISD Projections (LuxAlgo): https://www.luxalgo.com/library/indicator/htf-cisd-projections/

## Related concepts

- PD Arrays: https://www.luxalgo.com/library/concept/pd-arrays/
- Optimal Trade Entry: https://www.luxalgo.com/library/concept/optimal-trade-entry/
- Premium & Discount: https://www.luxalgo.com/library/concept/premium-and-discount/

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Source: https://www.luxalgo.com/library/concept/standard-deviation-projections/ (LuxAlgo Library, the encyclopedia of trading & technical analysis). Free to use with attribution: https://www.luxalgo.com/library/license/