According to Reuters, Sterling fell to its lowest level on record against a basket of currencies last week as investors became increasingly worried that Britain will lose its preferential trading terms with the EU - a so-called "hard Brexit".
"Having a flexible currency is an extremely important thing, especially in an environment when your economy faces shocks that are different from your trading partners," Broadbent told BBC Radio 5.
"In the shape of the referendum, we've had exactly one of those shocks. Allowing the currency to react to that I think is a very important shock absorber."