An insured has a $500 deductible and 80/20 coinsurance. A $4,500 covered loss occurs. How much will the insurer pay?
The insurer will pay $3,200.
To determine the insurer's payment, we first subtract the deductible from the total covered loss, leading to a coinsurance calculation on the remaining amount. After applying the deductible and coinsurance percentage, the final amount paid by the insurer is $3,200.
This amount is calculated by first applying the $500 deductible to the $4,500 loss, reducing the amount to $4,000. With an 80/20 coinsurance, the insurer covers 80% of the remaining $4,000, which equals $3,200. This is the correct solution based on the given terms.
This figure would suggest that the insurer covered a higher percentage of the covered loss. However, after applying the deductible, the insurer only pays 80% of the remaining amount, which does not support this total. Therefore, $3,600 is not correctly derived from the deductible and coinsurance calculations.
This amount represents the total remaining after the deductible is applied but does not account for the coinsurance factor. The insurer does not pay the full remaining amount; instead, they only cover 80% of it, making this choice incorrect.
This choice implies that the insurer would pay the full amount of the covered loss without any deductions for the deductible or coinsurance. However, the presence of a deductible and the 80/20 coinsurance clearly indicate that the insurer's payment will be less than the total loss amount.
The insurer's payment for the covered loss is determined by first applying the $500 deductible and then calculating the coinsurance on the remaining amount. Following this process, the insurer pays $3,200, demonstrating how deductibles and coinsurance structures affect the final reimbursement in insurance policies. Understanding these calculations is crucial for policyholders to grasp their financial responsibilities during a loss event.
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