YasT's answer in Swift:
Swift 4
let bigString = "BIG"
let smallString = "Small String"
let fullString = "\(bigString) \(smallString)"
let string = NSMutableAttributedString(string: fullString)
let bigStringRange = NSRange(location: 0, length: bigString.utf16.count)
let smallStringRange = NSRange(location: bigStringRange.length + 1, length: smallString.utf16.count)
let bigStringFontSize: CGFloat = 28
let smallStringFontSize: CGFloat = 18
string.beginEditing()
string.addAttribute(.font, value: UIFont.systemFont(ofSize: bigStringFontSize), range: bigStringRange)
string.addAttribute(.font, value: UIFont.systemFont(ofSize: smallStringFontSize), range: smallStringRange)
string.addAttribute(.baselineOffset, value: (bigStringFontSize - smallStringFontSize) / 2, range: smallStringRange)
string.endEditing()
Swift 3
let bigString = "BIG"
let smallString = "Small String"
let fullString = "\(bigString) \(smallString)"
let string = NSMutableAttributedString(string: fullString)
let bigStringRange = NSRange(location: 0, length: bigString.utf16.count)
let smallStringRange = NSRange(location: bigStringRange.length + 1, length: smallString.utf16.count)
let bigStringFontSize: CGFloat = 28
let smallStringFontSize: CGFloat = 18
string.beginEditing()
string.addAttribute(NSFontAttributeName, value: UIFont.systemFont(ofSize: bigStringFontSize), range: bigStringRange)
string.addAttribute(NSFontAttributeName, value: UIFont.systemFont(ofSize: smallStringFontSize), range: smallStringRange)
string.addAttribute(NSBaselineOffsetAttributeName, value: (bigStringFontSize - smallStringFontSize) / 2, range: smallStringRange)
string.endEditing()