Part A: To determine the fractional coverage from Company A, we need to divide the coverage from Company A by the total insurance coverage. The total insurance coverage is the sum of the coverage from Company A and Company B:
Total insurance coverage = $500,000 + $750,000 = $1,250,000
Fractional coverage from Company A = Coverage from Company A / Total insurance coverage
Fractional coverage from Company A = $500,000 / $1,250,000
Fractional coverage from Company A = 0.4 or 40%
Therefore, Company A has 40% fractional coverage.
Part B: To determine the fractional coverage from Company B, we follow the same process as in Part A:
Fractional coverage from Company B = Coverage from Company B / Total insurance coverage
Fractional coverage from Company B = $750,000 / $1,250,000
Fractional coverage from Company B = 0.6 or 60%
Therefore, Company B has 60% fractional coverage.
Part C: To determine the amount paid by each insurance company, we need to calculate the amount of the loss that each company is responsible for. This can be done using the fractional coverage from each company:
Amount paid by Company A = Fractional coverage from Company A x Total loss
Amount paid by Company A = 0.4 x $850,000
Amount paid by Company A = $340,000
Amount paid by Company B = Fractional coverage from Company B x Total loss
Amount paid by Company B = 0.6 x $850,000
Amount paid by Company B = $510,000
Therefore, Company A pays $340,000 and Company B pays $510,000 towards the insured loss of $850,000.