Can I use vue-router to data-bind a dropdown’s value to a URL’s query parameter?

I want to bind a dropdown to a query parameter in the URL, so

• when opening /page?dropdown=foo, I want the dropdown to have foo pre-selected
• and the other way round: when changing the dropdown’s value to bar, to have the URL rewritten into /page?dropdown=bar.

My question now:
Is there an out-of-the-box way to tell vue-router to data-bind this?

Or do I need to do it by hand, so when entering/changing the route, setting the dropdown’s value and using a :onchange on the dropdown to call router.replace()?