Microsoft will not offer upgrades for your exchange server. It will only suggest you to upgrade your Exchange server to higher version.
Why you need to Migrate to 2016?
Upgrade to Exchange 2016 maintains the server infrastructure .
Microsoft will not support for bug fixes and security updates for Legacy Exchange server which may cause data loss of you business.
Native migration methods are more complex and consumes more time.
You may search the best way for upgrading from Exchange 2013 to 2016 .
EdbMails for Exchange 2013 to 2016 migration
EdbMails Exchange migration tool will help you to perform direct migration of mailboxes between any Exchange server. Quickly subscribe to Exchange migration plan and get it done the migration of mailboxes from Exchange 2013 to Exchange 2016.