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The phrase "to volatility" is correct and usable in written English.
It can be used in contexts discussing financial markets, risk management, or any situation where fluctuations or instability are relevant. Example: "Investors are increasingly concerned about their exposure to volatility in the stock market."
Dictionary
to volatility
noun
The state of being volatile The state of having a low boiling point and evaporating readily The state of not retaining data in the absence of power. The state of being able to fly. The state of being unpredictable A quantification of the degree of uncertainty about the future price of a commodity, share, or other financial product
Exact(60)
When prices are falling, they sell, adding to volatility.
Option prices are directly proportional to volatility, and investors are currently assuming equity markets will be very volatile.
"Uncertainty leads to volatility".
That could add to volatility.
"D-RAM is most prone to volatility," Mr. Okamura acknowledged.
And then there are investments tied to volatility itself.
Lately, the experience has looked more like old age, and the passion has turned to volatility.
That creates, appropriately, an unusually great concern with respect to volatility on Monday".
"We are used to volatility, but these intraday swings are just remarkable".
Another begins with the view that inequality leads to volatility and instability.
These bonds are not immune to volatility, as many investors discovered the hard way last fall.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com