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Hello, I am Keith, one of the experts on Just Answer, and pleased to be able to help you with your question.
As far as the UK is concerned you are on the right track. However these days, since 16/17, the first 5K of dividend income is tax free. Also, if you are a citizen of an EEA country, you are entitled to a Personal Allowance of 11.5K [17/18 rates] which would reduce your liability even further. Above that then the 7.5% rate of taxation is correct unless you go into higher rate taxation in which case the percentage rockets. The UK has no Double Taxation Treaty with Andorra.
I do hope that you have found my reply of assistance..
I am quite familiar with the situation both pre and post 16/17. Before that date dividends carried a notional tax credit. That is, post 16/17, no longer the case and they are paid gross. As far as UK taxation is concerned anything over 5K is taxed at the recipient's marginal rate of tax and as far as you are concerned you have a Personal Allowance of 11K [16/17] and 11.5K [17/18] to offset any such income. As Andorra, a tax haven outwith the EU, has no Double Taxation Treaty with the UK there is a possibility that this income can be taxed in both jurisdictions.