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Multiplying a colum by the dynamic sum of other columns...for multiple rows in one cell

Hi, I am trying to multiply amounts by percentages that accumulate over time.

For example in the table below: how much did I pay total by the end of year 2 (including year 1) for all the items. Same for year 3...

I have way too many items to do it manually! I am guessing it will be some kind of sumprod but can't figure out how to formulate it! To make things even more interesting, I have a condition to add to pick only some of the items (for example: calculate only for the items having the word "wood" in it).

Item Cost Percentage paid year 1 Percentage paid year 2 Percentage paid year 3 Percentage paid year 4
1 4 000 $ 5% 10% 25% 60%
2 5 000 $ 10% 15% 20%
3
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