In a quantitative risk analysis, the annualized loss expectancy (ALE) is calculated as $1 million. If the organization implements a control that reduces the ARO from 0.5 to 0.1, and the SLE remains constant at $2 million, what is the new ALE?
Correct: $2M × 0.1 = $200,000.
Why this answer
The annualized loss expectancy (ALE) is calculated as SLE × ARO. With SLE constant at $2 million and the new ARO reduced to 0.1, the new ALE is $2,000,000 × 0.1 = $200,000. This reflects the residual risk after the control is implemented.
Exam trap
The trap here is that candidates may mistakenly apply the reduction to the ALE itself (e.g., subtracting 0.4 of $1 million) instead of recalculating ALE with the new ARO, or they may confuse ARO with a percentage and incorrectly compute $2 million × 0.1 = $200,000 as 'too small' and pick a larger wrong value.
How to eliminate wrong answers
Option B ($500,000) is wrong because it incorrectly uses the original ARO (0.5) with the new ALE calculation, or it misapplies the reduction factor as a simple subtraction rather than multiplication. Option C ($100,000) is wrong because it likely results from dividing SLE by the new ARO (2,000,000 / 0.1 = 20,000,000) and then misplacing a decimal, or from confusing ARO with a percentage reduction. Option D ($1 million) is wrong because it represents the original ALE (2,000,000 × 0.5 = 1,000,000) and ignores the control's effect on ARO.