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I am trying to understand asset price volatility.

Many of the news articles I read link how stock market volatility is linked to asset price volatility?

To give an example, in Mike Mackenzie's (Financial Times), February 4th article,

Volatility in the US equity market has retreated to its lowest level since early October as a pledge from the Federal Reserve to be patient with potential future interest rate rises and flexible with its balance sheet policy have soothed markets, writes Peter Wells.

Is there any economic intuition of why it is so important and what other factors are equally important for market volatility?

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    $\begingroup$ With low rates being a driver for economic growth and thus a positive for equities, impending rate hikes add to uncertainty about future equity prices, and drive up volatility. The recent dovish comments thus helped bring down volatility $\endgroup$ – ZRH Feb 5 at 10:33

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