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Default help with Sum in between dates

Hi, I have the following numbers, about 4 real estate projects (named
A, B, C, D). For each of them, there is a lease contract, and the rent
changes according to a "start date" and an "end date".
But since I need to sum the rent paid in each year, I need for each
project the sum of rent paid in that specific year, considering the
rent amount can change during the year.
In the example below, project A would pay 2 months of first due rent
in year 2011, then in 2012 it will pay for 10 months the same rent,
and then the new rent for the next 2 months, and so on.
How to do these total?
thanks

Projects START END ANNUAl RENT
A 01/11/2011 31/10/2012 1.800.000
A 01/11/2012 31/10/2013 2.200.000
A 01/11/2013 31/10/2014 2.300.000
A 01/11/2014 30/12/2021 2.800.000
B 01/01/2012 30/09/2013 1.800.000
B 01/10/2013 30/12/2021 3.600.000
C 01/11/2011 30/12/2021 2.600.000
D 01/01/2012 31/12/2013 2.000.000
D 01/01/2014 31/12/2015 2.400.000
D 01/01/2016 30/12/2021 2.800.000
 
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