CISSP Security and Risk Management Practice Question
In a quantitative risk analysis, if the single loss expectancy (SLE) is $15,000 and the annual rate of occurrence (ARO) is 0.5, what is the annualized loss expectancy (ALE)?
Answer choices
Why each option matters
Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.
Correct answer & explanation
✓
$7,500
ALE = SLE * ARO = $15,000 * 0.5 = $7,500.
Answer analysis
Option-by-option breakdown
For each option: why learners choose it and why it is or isn't the right answer here.
- ✓
$7,500
Why this is correct
This value correctly represents the Annualized Loss Expectancy (ALE), which is a key metric in quantitative risk analysis. It is calculated by multiplying the Single Loss Expectancy (SLE) by the Annualized Rate of Occurrence (ARO). Assuming an SLE of $15,000 and an ARO of 0.5 (meaning the event is expected to occur once every two years), the ALE is $15,000 * 0.5 = $7,500. This figure quantifies the expected financial loss from a specific risk over a one-year period, informing cost-benefit analyses for security controls.
- ✗
$30,000
Why it's wrong here
This value is incorrect for the Annualized Loss Expectancy (ALE) and indicates a miscalculation. It appears to be derived by multiplying the Single Loss Expectancy (SLE) of $15,000 by an incorrect Annualized Rate of Occurrence (ARO) of 2, or by simply doubling the SLE. Such an error would imply the threat event occurs twice a year, which contradicts the scenario where $7,500 is the correct ALE, suggesting an ARO of 0.5. This miscalculation significantly overestimates the annual financial impact of the risk, leading to potentially misguided resource allocation.
- ✗
$15,000
Why it's wrong here
This figure represents the Single Loss Expectancy (SLE), which is the monetary loss expected each time a specific threat event occurs. SLE is calculated as the Asset Value (AV) multiplied by the Exposure Factor (EF), quantifying the impact of a single incident. However, the question asks for a value that is likely the Annualized Loss Expectancy (ALE), which incorporates the frequency of occurrence over a year. Therefore, while $15,000 is a crucial component in the ALE calculation, it is not the final annualized figure that accounts for recurrence.
- ✗
$75,000
Why it's wrong here
This value is significantly higher than the correct Annualized Loss Expectancy (ALE) and strongly suggests a calculation error, most likely a misplaced decimal point or an incorrect multiplier. If the Single Loss Expectancy (SLE) is $15,000 and the Annualized Rate of Occurrence (ARO) is 0.5, then multiplying $15,000 by 5 instead of 0.5, or by 0.05 and then by 10, would lead to this erroneous result. Such a substantial overestimation would lead to misinformed risk management decisions, potentially causing an organization to overspend on controls for a less impactful risk.
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Security Operations Foundations
Key term
ALE
ALE (Annualized Loss Expectancy) is a risk management formula that estimates the yearly monetary loss from a specific threat to an asset.
Key term
ARO
ARO stands for Annualized Rate of Occurrence, a number that estimates how often a specific threat or risk event is expected to happen in a single year.
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JA
Written by Johnson Ajibi, MSc IT Security
Senior Network & Security Engineer · founder of Courseiva
This CISSP practice question is part of Courseiva's free ISC2 certification practice question bank. Courseiva provides original exam-style practice questions with explanations, topic-based practice, mock exams, readiness tracking, and study analytics to help learners prepare for the CISSP exam.