"Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward"
About this Quote
Calling it “a tree of the short-term interest rate” is a signal to practitioners. In derivatives pricing, trees are workhorses: simple, discrete models you can build and stress-test. Hull’s twist is that the tree isn’t symmetric. The “average direction” depends on where you start. High rates tend to fall; low rates tend to rise. That’s mean reversion in plain clothes, and it’s doing heavy rhetorical lifting. He’s telling you that the market and the macroeconomy have guardrails: central banks, growth constraints, and the sheer gravitational pull of what counts as “normal.”
The intent is practical: build a rate model that doesn’t blow up when you use it to value caps, floors, swaps, and bond options. The context is the Hull-White/Black-Derman-Toy tradition of interest-rate modeling, where the short rate is the state variable and calibration to today’s yield curve is non-negotiable.
There’s also an implicit warning about regime sensitivity. “Very high” and “very low” aren’t abstract; they’re historical moods. In high-inflation eras, cuts become the default trajectory. Near the zero lower bound, hikes become the plausible pull. Hull is describing a model, but he’s really describing power: policy, expectations, and the limits of extremes.
Quote Details
| Topic | Money |
|---|---|
| Source | Help us find the source |
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Citation Formats
APA Style (7th ed.)
Hull, John C. (2026, January 15). Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward. FixQuotes. https://fixquotes.com/quotes/our-tree-is-actually-a-tree-of-the-short-term-160543/
Chicago Style
Hull, John C. "Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward." FixQuotes. January 15, 2026. https://fixquotes.com/quotes/our-tree-is-actually-a-tree-of-the-short-term-160543/.
MLA Style (9th ed.)
"Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward." FixQuotes, 15 Jan. 2026, https://fixquotes.com/quotes/our-tree-is-actually-a-tree-of-the-short-term-160543/. Accessed 12 Feb. 2026.






