Transferring stocks and shares to a grandchild

I have been saving in a stocks and shares junior investment account for my grandchild on a monthly basis for 20 years. The account is in my name but designated to my grandchild. If I now transfer this account into a General Investment Account within the same company in my grandchild's name do I have to pay Capital Gains Tax. I personally have not made any gain.

Why have I not received a reply to my question posted 7 days ago?

Hi Anne,
Please have a look at the guidance here:
CG10720 - Persons chargeable: beneficial owner.
Onwards for guidance on this matter.
Thank you.