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Bitcoin Rainbow Chart

Logarithmic growth curve depicting long-term Bitcoin price movements using colored bands

Current Band

Slightly Undervalued

Current Price

$38,640

Date Created

Oct 2014

Created by

Trolololo
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Background on the Rainbow Chart model

The Bitcoin Rainbow Price Chart is based on a proposal presented in 2014 from a user named Trolololo in the Bitcoin forum, Bitcointalk.

On October 22nd, 2014, Trolololo published a post titled, “Logarithmic (non-linear) regression - Bitcoin estimated value”, in an attempt to estimate the long-term price trend-line of Bitcoin.

Trolololo introduced a logarithmic curve whose equation is as follows:

10^(3.109106  * ln((number of weeks since 2009 Jan 09)/weeks) - 8.164198)

The chart Trolololo produced looked like this:

Trolololo Log Chart
Trolololo's 2014 v1.1 Logarithmic (non-linear) regression chart

After gaining a small buzz on Bitcointalk after posting the chart, Trolololo explained, "This logarithmic regression is way better than the linear regression. But it's just a model, not a crystal ball".

Users found the chart to be insightful into finding the tops of the bubbles and the bottoms of the bubbles, essentially modeling an estimation of the roofs and floors of next bubbles.

Colorful bands representing overvaluation and undervaluation areas of bitcoin's price performance were introduced by Reddit user azop in August 2014.

Azop used a logarithmic price scale for Bitcoin and overlayed it with colorful bands to try to find correlations.

Azop rainbow chart

The full "Bitcoin Rainbow Chart" model was completed later in 2018 by Über Holger by borrowing the colorful bands of Azop and applying them to Trolololo's logarithmic regression.

How to read the Rainbow Chart

The Rainbow Chart is meant to be a fun way of looking at long term price movements, disregarding the "noise" of daily volatility.

It's important to note that the chart has no scientific basis and like with most models, will be correct until one day it isn’t anymore..

There are 8 bands that overlay the bitcoin log price chart.

Each band depicts a price range aptly named to convene the current market conditions. Bands like “Extremely Overvalued” and "Extremely Undervalued" are historically good indicators of what's to come in the future.

The warmer colors are related to the zones for selling BTC and taking profits, while the cooler colors represent the zones for buying BTC, when the market is depressed.

You will also notice the 4 year 'halving' markers representing Bitcoin's supply halving, the unique part of Bitcoin's scarcity monetary policy.

The behavior between each of these 4-year Bitcoin cycles have shown traders potential buying and selling opportunities, which have sometimes been successful in predicting blow-off tops.

Over the years it has been found that most of the time, the Bitcoin price trend has remained within the bands of the Bitcoin Rainbow Chart, except on certain occasions, such as in the “bubbles” of 2011, 2014, and 2017.

Fun facts

According to Trolololo, the price of bitcoin should reach $1,000,000 on September 6th, 2026