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Difficulty: Very hardMust Be True / Most Strongly Supported

Any algorithmic trading system that prioritizes latency reduction will inevitably experience elevated order-cancellation rates, unless it utilizes predictive market-making models. However, systems utilizing predictive market-making models are never granted Tier-1 regulatory approval by the financial oversight board. The oversight board grants Tier-1 approval to most trading systems that do not experience elevated order-cancellation rates. Every algorithmic trading system developed by Apex Financial prioritizes latency reduction, yet Apex Financial currently operates several systems that have been granted Tier-1 regulatory approval.

Which one of the following statements must be true on the basis of the information above?

  1. A
    Any algorithmic trading system that is denied Tier-1 regulatory approval by the financial oversight board utilizes predictive market-making models.
  2. B
    Apex Financial does not currently operate any algorithmic trading systems that utilize predictive market-making models.
  3. C
    Utilizing predictive market-making models guarantees that an algorithmic trading system will not experience elevated order-cancellation rates.
  4. Any algorithmic trading system developed by Apex Financial that currently holds Tier-1 regulatory approval experiences elevated order-cancellation rates.Answer
  5. E
    The financial oversight board prioritizes order-cancellation rates above all other factors when determining Tier-1 regulatory approval.

Answer

Any algorithmic trading system developed by Apex Financial that currently holds Tier-1 regulatory approval experiences elevated order-cancellation rates.
To find what must be true, we combine the facts provided about a specific subset of trading systems: those built by Apex Financial that hold Tier-1 approval. We know every Apex system prioritizes latency reduction. According to the first sentence, any system prioritizing latency reduction must either experience elevated order-cancellation rates or use predictive market-making models. However, because these specific Apex systems hold Tier-1 approval, the second sentence dictates that they cannot possibly be using predictive market-making models (since using them guarantees denial of Tier-1 status). Eliminating the predictive model exception leaves only one possibility: these Tier-1 approved Apex systems must experience elevated order-cancellation rates.

Step-by-Step Solution

1
Map the formal logic of the general rules.
Rule 1: Prioritize Latency -> (Elevated Rates OR Predictive Models). Rule 2: Predictive Models -> NO Tier-1 Approval (which contraposes to: Tier-1 Approval -> NO Predictive Models).
Translating natural language into conditional logic allows for rigorous deduction.
2
Analyze the specific information given about Apex Financial's systems.
All Apex Systems -> Prioritize Latency. At least some Apex systems have Tier-1 Approval.
We must isolate the specific subset of subjects (Apex Tier-1 systems) to draw a guaranteed conclusion.
3
Apply Rule 2 to the subset of Apex systems with Tier-1 approval.
Because they have Tier-1 approval, these specific Apex systems cannot utilize predictive market-making models.
This establishes one absolute truth about the subset.
4
Apply Rule 1 to the same subset to deduce the final outcome.
Since these systems are built by Apex, they prioritize latency. Thus, they must either have elevated rates or use predictive models. Since Step 3 proved they do NOT use predictive models, they MUST have elevated cancellation rates.
This completes the logical chain, proving the correct inference.

Key Concept

Formal Logic Deductions, Conditional Chaining, and Existential Quantifiers
Estimated Time:2m 0s
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Topics

Must Be True / Most Strongly Supported

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