"Trees don't grow to the sky" is a German proverb that is translated from "Bäume wachsen nicht in den Himmel." It suggests that there are natural limits to growth and improvement. The proverb trees don't grow to the sky is often used by bankers to describe the dangers of maturing companies with a high growth rate. In some cases, a company that has an exponential growth rate will achieve a high valuation based on the unrealistic expectation that growth will continue at the same pace as the company becomes larger. For example, if a company has $10 Billion in revenue and a 200% growth rate it's easy to think that it will achieve 100s of Billions in revenue within a few short years.
Generally speaking, the larger a company becomes the more difficult it becomes to achieve a high growth rate. For example, a firm that has a 1% market share might easily achieve 2%. However, when a firm has an 80% market share, doubling sales requires growing the market or entering new markets where it isn't as strong. Firms also tend to become less efficient and innovative as they grow due to diseconomies of scale.
Modeling how quickly a growth rate will slow as a firm becomes larger is amongst the most difficult elements of equity valuation.
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