B is correct. Statutory premium is earned in proportion to the expired portion of each policy term, and the unearned premium reserve carries the unexpired portion as a liability. Policy A was written in 2024 and had 10 of its 12 months unexpired at December 31, 2024, so
1,800×10/12=1,500 was carried into 2025 and expired entirely on October 31, 2025, earning $1,500,000 in 2025. Policy B ran 9 of 12 months during 2025:
3,600×9/12=2,700. Policy C ran 6 of its 24 months:
9,600×6/24=2,400. Policy D ran 3 of its 6 months:
2,400×3/6=1,200. Total 2025 direct earned premium is
1,500+2,700+2,400+1,200=7,800 or $7,800,000. The roll-forward confirms it: beginning unearned of 1,500, plus 2025 written premium of
3,600+9,600+2,400=15,600, less ending unearned of
3,600×3/12+9,600×18/24+2,400×3/6=900+7,200+1,200=9,300, gives 7,800. Wrong paths: subtracting the ending unearned reserve from written premium while omitting the beginning unearned balance gives
15,600−9,300=6,300; reporting the December 31, 2025 unearned premium reserve itself gives 9,300; earning the 24-month policy over a 12-month term replaces its 2,400 with
9,600×6/12=4,800 for a total of 10,200; treating written premium as fully earned when written gives 15,600.