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FRM Part II · FRM Exam Part II · Case Study: Third-party Risk Management

A bank assesses 10 critical applications. Cloud Provider A hosts 4, Provider B hosts 3, Provider C hosts 2 and Provider D hosts 1. Using the Herfindahl-Hirschman Index on shares of applications hosted (shares as decimals), what is the HHI, and how does it compare with the minimum possible for 4 providers?

The HHI is 0.30, from 0.16 + 0.09 + 0.04 + 0.01. The minimum for four providers is 0.25 when each hosts an equal share, so the bank's portfolio is somewhat more concentrated than an evenly spread one.

  1. A0.30, which is above the minimum of 0.25Correct
  2. B0.30, which is below the minimum of 0.25
  3. C0.16, which is above the minimum of 0.25
  4. D0.40, which is the minimum possible

Explanation

Shares are 0.4, 0.3, 0.2, 0.1. Squares: 0.16+0.09+0.04+0.01=0.30. With 4 providers the minimum HHI is 4×0.25²=0.25 at equal shares, so 0.30 shows moderate additional concentration. The 0.16 option only squares the largest share.

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