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Zorluk: Çok zorCategorical Classification and Sorting

A financial compliance department classifies portfolio companies into three regulatory monitoring tiers—Tier Alpha, Tier Beta, and Tier Gamma—based on three financial criteria:

1. Debt-to-Equity (D/ED/E) ratio <1.5< 1.5
2. Net Profit Margin >12%> 12\%
3. Audit Rating of 'Unqualified'

The classification rules are defined as follows:
- Tier Alpha: The company satisfies at least two of the three criteria.
- Tier Gamma: The company satisfies fewer than two of the three criteria AND meets at least one of the following risk triggers: an Audit Rating of 'Adverse' OR a D/ED/E ratio >2.5> 2.5.
- Tier Beta: Any company that does not meet the criteria for either Tier Alpha or Tier Gamma.

The relevant metrics for four portfolio companies are summarized in the table below:

CompanyDebt-to-Equity (D/ED/E)Net Profit MarginAudit Rating
Company W1.21.215%15\%Adverse
Company X2.82.810%10\%Unqualified
Company Y1.81.814%14\%Qualified
Company Z1.41.411%11\%Adverse

Based on the classification rules, which of the following correctly pairs the regulatory monitoring tiers for Company W and Company Y, respectively?

  1. Company W: Tier Alpha; Company Y: Tier BetaCevap
  2. B
    Company W: Tier Alpha; Company Y: Tier Gamma
  3. C
    Company W: Tier Gamma; Company Y: Tier Beta
  4. D
    Company W: Tier Beta; Company Y: Tier Gamma
  5. E
    Company W: Tier Beta; Company Y: Tier Beta

Cevap

Company W is classified under Tier Alpha and Company Y is classified under Tier Beta.
To classify Company W, we evaluate the three criteria: D/E=1.2<1.5D/E = 1.2 < 1.5 (satisfied), Margin =15%>12%= 15\% > 12\% (satisfied), and Audit Rating = 'Adverse' (not satisfied). Because Company W satisfies exactly 2 criteria, it meets the Tier Alpha definition of satisfying at least two criteria.

To classify Company Y, we evaluate its criteria: D/E=1.8<1.5D/E = 1.8 < 1.5 (not satisfied), Margin =14%>12%= 14\% > 12\% (satisfied), and Audit Rating = 'Qualified' (not satisfied). Company Y satisfies 1 criterion (fewer than 2), so it is not Tier Alpha. Next, we test the Tier Gamma conditions: it has fewer than 2 criteria satisfied, but its Audit Rating is not 'Adverse' and its D/E=1.82.5D/E = 1.8 \le 2.5. Since neither risk trigger is present, it does not meet the Tier Gamma criteria. By elimination, Company Y must be in Tier Beta.

Adım Adım Çözüm

1
Evaluate the 3 core criteria for Company W
Criterion 1 (D/E<1.5D/E < 1.5): 1.2<1.51.2 < 1.5 (True). Criterion 2 (Margin >12%> 12\%): 15%>12%15\% > 12\% (True). Criterion 3 (Audit 'Unqualified'): 'Adverse' (False). Total satisfied = 2.
Determining how many criteria are satisfied dictates tier eligibility.
2
Classify Company W based on rules
Company W satisfies 2 of 3 criteria 2\ge 2, so Company W is Tier Alpha.
The Tier Alpha rule requires satisfying at least two of the three criteria.
3
Evaluate the 3 core criteria for Company Y
Criterion 1 (D/E<1.5D/E < 1.5): 1.8<1.51.8 < 1.5 (False). Criterion 2 (Margin >12%> 12\%): 14%>12%14\% > 12\% (True). Criterion 3 (Audit 'Unqualified'): 'Qualified' (False). Total satisfied = 1.
Fewer than 2 conditions satisfied rules out Tier Alpha.
4
Check Tier Gamma risk triggers for Company Y
Risk Trigger 1 (Audit 'Adverse'): 'Qualified' (False). Risk Trigger 2 (D/E>2.5D/E > 2.5): 1.8>2.51.8 > 2.5 (False). Neither risk trigger is met.
Tier Gamma requires satisfying fewer than two conditions AND meeting at least one risk trigger.
5
Classify Company Y based on rules
Company Y is neither Tier Alpha nor Tier Gamma, so it falls into Tier Beta.
Tier Beta contains all remaining companies.

Anahtar Kavram

Multi-attribute categorical classification using nested logical conjunctions (AND/OR) and threshold rules.
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