Historically, exec was often used to execute the last command of a shell script. This would kill the shell slightly earlier; otherwise, the shell would wait until the last command was finished. This practice saved a process and some memory. (Aren't you glad you're using a modern system? This sort of conservation usually isn't necessary any longer unless your system limits the number of processes each user can have.)
exec can be used to replace one shell with another shell:
without incurring the additional overhead of having an unused shell waiting for the new shell to finish.
exec also in the Bourne shell. When you use exec to manage file descriptors, it does not replace the current process. For example, the following command makes the standard input of all commands come from the file formfile instead of the default place (usually, your terminal):
exec < formfile