SQL & PL/SQL

I am creating a directory as LIVE_OWNER user after the DBA grants CREATE ANY DIRECTORY privilege to LIVE_OWNER User


SQL>CREATE DIRECTORY LIVEDIR AS '/batch/loc/tmp';

Should I give the below grant query after I log in as LIVE_OWNER or no need of giving grants as the CREATOR has privileges to READ/WRITE

Pls suggest me

SQL>GRANT read, write ON DIRECTORY LIVEDIR TO LIVE_OWNER

Thanks for ur help in advance