Cumulative Interest Formula
I have a person who was paid £1000 pension pa for ten years. I've found out that the pension should have been split 50/50 with half increasing by 5% pa. Thus in year 1 total pension would be £1000. In year 2 the total pension would be £1025 ((£500 x 1.05) plus £500)
I know that in year 10 the total pension should be £500 (non increasing) plus £814 (£500 x 1.05 to the power of ten). My problem is how do I work out a formula which calculates the total arrears due in year ten? I'm thinking the arrears due after the ten years is £314 but something is telling me it's a lot more.
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