Personal Savings Allowance (PSA) Confusion

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Hi All,
Hoping to tap into the collective expertise of the MSE community regarding a confusion that I have with Personal Savings Allowance (PSA). I'm a high rate tax payer, hence I have a PSA of 500£ per tax year. I'm writing down couple of real life scenarios here, to explain my confusion on how the PSA works out for a given tax year:
Scenario 1: I opened a 1 year fixed rate savings account in November 2021 (deposited 1000£ at 2.4%). It meant that I was going to receive 24£ in interest when the fixed rate finishes in November 2022. As per my understanding, that 24£ in interested would have counted towards my 500£ PSA for tax year 2022-23. But then in October 2022 (a month before it was due to mature), my bank offered me a deal to reinvest my money (including the interest accrued upto that point) early with a better rate of 4%. My accrued interest up to that point was 22£, so I ended up reinvesting a total of 1022£ for 1 more year at 4%. My question is, the 22£ in interest that I ended up reinvesting (without taking it out of my account), will that be counted towards my 500£ PSA for tax year 2022-23?
Scenario 2: I have opened another 1 year fixed rate savings account in May 2022 (deposited 1000£ at 3%), which will mature in May 2023. For this account, I receive a monthly interest of 2.50£ which gets deposited into the fixed rate account (I have no access to this, I will only get access to the interest at the end of the fixed term). I'm assuming that all the monthly interest accrued during the tax year 2022-23 (between May 2022 and April 2023) will not count towards the PSA for tax year 2022-23, instead, the total interest of 30£ will just count towards the PSA for tax year 2023-24 (as it is maturing in May 2023)?
Any advice on this will be highly appreciated.
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Scenario 2). If the interest is being credited to your account each month I suspect the bank will report it to HMRC when the 2022:23 tax year ends so it would be taxed for that year.
PSA isn't really an "allowance", it's a 0% tax rate and the income will be taxed, even if just at 0%.
As taxable income it forms part of your adjusted net income so as a higher rate payer you also need to consider the (possible) impact on HICBC and tapered Personal Allowance.
Btw, in English the pound sign comes before the number.