[Insurance Companies / Reinsurance]
An insurer writes a $60,000,000 risk for a premium of $30,000. Using pro rata reinsurance, it transfers 25% of the risk to the reinsurer. The risk then suffers a $100,000 loss. How much does the reinsurer contribute to this loss?
In pro rata (proportional) reinsurance, the reinsurer assumes a fixed percentage of both the risk and the premium, and in return pays the same percentage of any losses. Here, the insurer cedes 25% of the risk to the reinsurer. Therefore, the reinsurer must contribute 25% of any loss that occurs on that policy.
The loss amount is $100,000.
Reinsurer's share = 25% $100,000 = $25,000.
The insurer retains the remaining 75%, or $75,000. Proportional reinsurance helps insurers manage exposure by sharing both costs and losses. Options B, C, and D do not correctly reflect proportional-sharing principles. The reinsurer does not pay the full loss; it only pays its agreed percentage.
Thus, the correct answer is A: $25,000.
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