risk assessment recommendation
TRANSCRIPT
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Restaurant Risk AssessmentRecommendation for Audit Team
David KayAugust 7, 2015
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Outline
1. Objective2. Recommendation3. Overview4. Methodologies5. Summary6. Going Forward
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Objective
• Use quantitative methods to analyze restaurant level data
• Develop a robust fraud risk assessment
• Identify the top 5th percentile of high risk restaurants for further investigation
• Create an interface for detailed analysis
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Recommendation
See Excel File
• Scoring Table worksheet highlights high risk restaurants (top 5th percentile)
• Subjective decision regarding weights and value for “N/A” result (1 or 0)
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Risk Assessment Overview1. Each restaurant scored from 0 to 1 for
each assessment2. 0 = lowest risk, 1 = highest risk3. Each assessment is assigned a weight4. A final score between 0 and 1 is
calculated5. Top 5% highest scores should be
further investigated
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Methodologies
• Food Costs• Sales Trend and Pattern• Operations• Voids and Discounts
– Autocorrelation– Benford’s Law
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Food Costs
• Compares average food costs (% of sales) to the system average
• Scoring based on number of standard deviations above average
• Higher food costs as a percentage of sales could indicate underreported sales or significant shrinkage
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Food Costs (cont.)Ex: Avg. food cost % = 31%Standard deviation 2%
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Food Costs (cont.)
• Outlier restaurants get an extra score to better differentiate them
• Based on the previous example (31% average food cost):
Food Cost Percentage Score Notes
X <= 0.325 0.0 Higher than avg.
0.325 < X <= 0.333 0.5 Much higher than avg.
0.333 < X 1.0 Very high
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Food Costs (cont.)• Standard deviation of food cost
percentage used to detect fraudulent data
• A standard deviation of 0 could indicate food cost was “created” using a percentage (i.e. food cost was exactly 25% every quarter, so = 0)
• Scoring based on number of standard deviations below average
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Food Costs (cont.)
• YoY trend in food costs (% of sales) is compared to system average
• Scoring based on number of standard deviations above average
• Food costs increasing more (or decreasing less) than system average may indicate underreported sales or significant shrinkage
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P&L Sales Growth
• Compares restaurant quarterly sales growth (from franchisee P&L) to system average
• Sales decreasing more (or increasing less) than system average may indicate underreporting or significant shrinkage
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P&L Sales Growth (cont.)
Example:• Given a 2% average compounded
growth rate
Sales Trend Score Notes
X <= -2% 1.0 Much worse than avg
-2% < X <= 2% = 0.5 – (X/0.08) Worse than avg
X > 2% 0.0 Above average
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Sales Pattern
• Compares each restaurants current year and prior year sales pattern- Sales follow a yearly seasonal pattern- Deviations from this pattern indicate a
higher risk for fraud- Scoring based on correlation between
prior year and current year weekly sales (lower correlation = higher risk)
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Operations
• Reflect personnel attitudes toward franchisor and franchisee, and/or franchisee attitude toward franchisor
• Lower scores, higher numbers of guest complaints and health violations may be indicative of greater risk of fraud
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Operations (cont.)
• Comparison of restaurant versus system averages for OAR, OE, GLI, GRC and # of health inspection violations
• Scoring based on number of standard deviations below average (OAR, OE, GLI) or above average (health inspection violations, GRC)
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Autocorrelation• The correlation of a time series value
with an earlier value (lagged correlation)• Positive autocorrelation = earlier value
and current value tend to both move in same direction
• Negative autocorrelation = earlier value and current value tend to move in opposite directions
• No autocorrelation = random series
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Autocorrelation (cont.)System-wide, traffic follows a weekly pattern:
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Autocorrelation (cont.)• Lag 7 and Lag 14 show the weekly pattern
(Mondays will be similar to other Mondays, Tuesdays will be similar to other Tuesdays, etc.)
• This same pattern is seen in over 90% of restaurants
• Voids/Discounts are naturally correlated with traffic, and thus follow a similar pattern
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Autocorrelation (cont.)• However, voids/discounts should still be
somewhat random• Higher void/discount autocorrelation could
indicate non-random behavior (fraud, error, or unique promotions)
• Scoring is based on number of standard deviations above average
• Top 25% of restaurants get a second score equal to their percentile rank
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Benford’s Law
• Frequency of first digit or first two digits of a large sample of numbers will display a counterintuitive distribution
• “Naturally occurring” (i.e. not fabricated or artificially modified) numbers (with no upper limit) should approximate a Benford curve
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Benford’s Law (cont.)
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 880%
1%
2%
3%
4%
5%
1st 2 Digit Distribution
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Benford’s Law (cont.)Benefits of testing data conformity toBenford’s Law:• Average difference from Benford easily
assesses data conformity• Manipulated numbers (either via fraud
or through non-random behavior such as promotions) will not conform
• Spikes at specific digits allows more precise investigation of transactions
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Benford’s Law (cont.)
Using the mean absolute deviation (MAD) from Benford, scoring is based on the number of standard deviations above average
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Summary• Robust quantitative assessments• User discretion regarding individual
test’s weight• User discretion regarding value in
place of “N/A”• Final weighted score used to assess
percentile rank• Can be used in conjunction with
existing risk assessment
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Going Forward…• Final scores should be compared to those of an earlier study
• If the correlation of scores between the two studies is low, it means that there was virtually no relationship between the past scores and the current scores
• Low correlations could be because of:a) Different predictor weights in the current systemb) Addition of new predictors and/or the deletion of old predictorsc) Changed conditions
• Low correlation suggests the risk-scoring system needs to be regularly updated