Hi John,
You are correct in that the gain, minus the annual exempt allowance would be taxable at the lower rate (18%) up to the equivalent level of the basis rate band (£37700 in 2023 to 2024).
Any amount of gain above that level would be taxable at the higher level (28%).
Personal allowances are not a factor in calculating Capital Gains Tax.
You would pay Capital Gains Tax on £15000 at 18%.
You have 60 days from the disposal date to report and pay the Capital Gains Tax, to avoid penalties and interest.
If you can obtain a government gateway user ID and password, you can register for a capital gains account at:
Capital Gains Tax
You may need to contact HMRC to do this.
Your alternative is to download, print and complete a paper version and send it to:
Pay as You Earn and Self Assessment HMRevenue and Customs BX9 1A.
Thank you.