SHARE # Chart scaling

Scaling is important for drawing correct trendlines, support and resistance on charts. Which is why we need to understand it. Because otherwise we won’t know what we are doing. And that is why I will focus on it in this post.

#### Logarithmic and arithmetic charts

Arithmetic charts are plotted on a linear scale. This can be a chart looking at temperature for example. Equal distances represents equal amounts. The distance from a value, for example one or two, is the same as the distance from two to three on both the x and the y axis. So you are visualizing price in a linear manner. Dow Jones Industrial average on an arithmetic scale. Everything is in equal amounts on the x and y axis here. Interesting trendlines can be drawn using linear scaling as seen from this chart – Chart from TradingView

Semi-log charts are quite different. They show the logarithmic scale on the y-axis. But the y-axis is percentages. These charts show similar percentage moves as being equally big. Which is helpful for spotting important moves on a chart going back longer in time.

The vertical distance on a 100% move appears as big whether that is a price move of 20 to 40 dollars on log charts. Or a move from 100 to 200 dollars. This is since they both represent the same percentage moves. Because of that they are often referred to as percentage charts. Below is the same chart of the Dow Jones Industrial average on a logarithmic scale. Dow Jones Industrial average on a logarithmic scale. Notice how only one trendline is needed to connect all the lows of the advance – Chart from TradingView

#### Aritmetic charts

Arithmetic scaling can be good for some things. For example when you are doing market geometry on your charts, or if you are daytrading. The downside of this scaling is that the big percentage moves, back in time, don’t appear as big on the chart, as the moves closer to the top. An example of this is in this linear chart of Berkshire Hathaway below. In this chart there was a sell off, between 1998 and 2000, which was a big percent change. But it almost does not show up on the chart in 2019. Because the linear chart only shows equal amounts. As long term investors we would have lost almost 50 percent of our money, in the sell off between 1998 and 2000. So for us these moves are as important as the big moves showing up as more important on a linear scale. – Chart from TradingView

Arithmetic charts display moves from 150 to 200 dollars as bigger than moves from 15 to 20 dollars. Even though they might be as important for traders when they happen. Because the percentage change is as big in both cases. And that is why log charts are more useful for swingtraders in my view.

#### Logartithmic charts

Looking at Berkshire Hathaway on a logarithmic chart paints a whole new picture. The important move from 1998 to 2000 now looks a lot bigger . Here we see how big the sell off was in percentage terms. And how emotional it must have been. – Chart from TradingView

For me personally, this is what I want to see. Because the big percentage moves are as important for me. And psychologically these anchor points can be at least as important as the big linear moves in number terms. Which means that they will be important for drawing trendlines, support and resistance.

#### Trendlines on log charts

Below is a picture of Facebook on a logarithmic chart. As you can see it is a beautiful channel showing several uptrends and pullbacks.

Now, look what happens when you use an aritmetic chart with the same trendlines. In this picture the move between 2016 and 2018 is overmagnified. But the big move from 2013 is almost not noticeable any more. And the trendlines are off . – Chart from TradingView

Linear charts exaggerates the moves that are near the top of the chart. And they make the moves closer to the bottom look less important. This is not what we want on a longer term chart. Because the big percentage moves are as important psychologically and therefore for drawing trendlines.