Mar 25, 2025
Euler equation
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Euler equation
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On interest and consumption: is the causality reversed?
If the Euler equation is not verified in the real world, as various papers claim (see http://noahpinionblog.blogspot.it/2014/01/the-equation-at-core-of-modern-macro.html), as consumption is shown to be actually high when interest rates are high, I think we should give some thought to the below observation:
“Why am I not surprised that people don't really make consumption decisions based on prevailing interest rates (which the vast majority don't understand and probably do not have meaningful confidence in their ability to forecast). It seems to me (an amateur and novice at best), that it should not be particularly surprising that consumption - a driver of strong growth - would correlate with higher interest rates - an indicator that there has been strong growth (relative to levels that would not create inflation concerns and thus higher rates).” (Adam, comment on the abovementioned post)
The Beautiful Equation: Euler’s Identity
Also called Euler’s relation, or the Euler equation of complex analysis, this bit of mathematics enjoys accolades across geeky disciplines.
Swiss mathematician Leonhard Euler first wrote the equality, which links together geometry, algebra, and five of the most essential symbols in math -- 0, 1, i, pi and e -- that are essential tools in scientific work.
Theoretical physicist Richard Feynman was a huge fan and called it a "jewel" and a “remarkable” formula. Fans today refer to it as “the most beautiful equation."
I am choosing to ignore the sentence from the article about how I shouldn't get this tattooed on me. I clearly will one day.