The way I did this in Swift 2.3 was:
let currentDate = NSDate()
let currentCalendar = NSCalendar.currentCalendar()
var startDate : NSDate?
var e
Swift 4 Version
let startDate = "2000-11-22"
let dateFormatter = DateFormatter()
dateFormatter.dateFormat = "yyyy-MM-dd"
let formatedStartDate = dateFormatter.date(from: startDate)
let currentDate = Date()
let components = Set([.second, .minute, .hour, .day, .month, .year])
let differenceOfDate = Calendar.current.dateComponents(components, from: formatedStartDate!, to: currentDate)
print (differenceOfDate)
Printed - year: 16 month: 10 day: 19 hour: 12 minute: 16 second: 42 isLeapMonth: false
swift4 calendar date