There are 2 policies of type B but let's first do the 2024 WE calculation for 1 policy. Then we can just double the answer to get the final result.
A 6-month policy written on Sept 15, 2023 would normally expire on Mar 15, 2024. (Recall that a 6-month policy written on that date would generate 6/12 = 0.5 car-years of written exposure for CY 2023.)
But this policy is cancelled on Jan 30, 2024, which is 1.5 months early.
That means 1.5/12 = 0.125 of written exposures must be reversed, and this reversal is credited to CY 2024.
So 1 policy of type B would generate -0.125 car-years of WE for 2024.
Now just multiply -0.125 by the number of policies of type B to get the final answer:
Comments
There are 2 policies of type B but let's first do the 2024 WE calculation for 1 policy. Then we can just double the answer to get the final result.
Now just multiply -0.125 by the number of policies of type B to get the final answer: