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Effect of Santander 123 account on mortgage rates

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I can't get my brain around how to work this out and thought you lovely people would be able to help!

If a Santander mortgage rate is say 3.24% but you have a 123 current account giving you 1% cashback what does that effectively do to the rate?

On a £140k mortgage the interest would be £4536 for the first year.

If the repayments were £1000 that would be £10 per month cashback so £120 per year.

Take this off the interest and £4416/£140000 is 3.15%

Is that right or is it too simplified?

Confused!

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