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Log & Arithmetic Charts Tell Different Stories

Richard Shaw (June 15th, 2008) Writes:

Simple arithmetic charts are OK for short-term performance review, but can be misleading for long-term purposes. Semi-log charts are best for long-term perspective.

Arithmetic charts space each Dollar move equally on the vertical Y-axis. Semi-log charts space each percentage move equally on the vertical Y-axis. Either method creates only minor differences for short-term charts, but dramatic differences over the long-term, particularly if the security is strongly trending.

The following charts of MSCI emerging market indices illustrate the point. They show 15+ years of gross performance (price plus all dividends) for the emerging market index (proxies: EEM, VWO), India (proxy: INP), China (proxy: FXI), Brazil (proxy: EWZ), Russia (proxy: RSX) and Mexico (proxy EWW).

The semi-log format (called “semi” because the X-axis remains arithmetic with equal spaces between dates) gives a truer picture of trend.  A constant rate of change on

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