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CMA Intermediate · Operations Management and Strategic Management · Digital Strategy

A firm's risk register rates a data breach as having a 5% annual probability and an estimated loss of ₹40 lakh. Cyber insurance costing ₹1.2 lakh a year would cover the entire loss. Considering only the expected annual loss versus the premium, what is the expected annual loss and is the premium lower than it?

Expected annual loss is 5% of ₹40 lakh, which is ₹2 lakh. Since the ₹1.2 lakh premium is lower than this expected loss, buying cyber insurance is cost-justified on this simple measure.

  1. A₹2 lakh; yes, premium is lowerCorrect
  2. B₹2 lakh; no, premium is higher
  3. C₹0.2 lakh; premium is higher
  4. D₹8 lakh; premium is lower

Explanation

Expected annual loss = 5% × ₹40 lakh = ₹2 lakh. The premium of ₹1.2 lakh is below this, so insurance is cheaper than the expected loss. Option ₹0.2 lakh comes from misplacing the decimal; ₹8 lakh comes from using 20% instead of 5%.

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