Creating a calendar event from within a plugin (stuck on saving)

I’m trying to create an event from within a plugin. I’ve come up with the following:

$event = new Event(); // SolspaceCalendarElementsEvent;
$event->authorId = 1;
$event->calendarId = 5;
$event->name = 'Hello name';
$event->title = 'Hello title';
$event->startDate = new DateTime();
$event->endDate = new DateTime();
$event->allDay = true;

But I don’t understand how to actually save the event (e.g. $event->save()). Am I on the right track or completely off? I couldn’t find anything on this in the docs.