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Enter Presentation Title Here
Composite Indicators
&
Senior Management Reporting
London
January 17th & 18th, 2006
Charles Taylor
Director, Operational Risk
2
Agenda
Basic Concepts
Transforming Individual KRIs
Creating a Composite Indicator
Senior Management Reporting
3
Agenda
Basic Concepts
Transforming Individual KRIs
Creating a Composite Indicator
Senior Management Reporting
4
The Basic Problem
Combining apples and oranges
Combining things in a way that will
highlight what senior management needs to
focus on
5
KRIs & Management Levels
Basic Concepts
Location KRI Type Management Level
Local Individual Lower/Mid-Level
Organization Composite Mid-Level/Senior
6
KRIs & Management Levels
Basic Concepts
Location KRI Type Management Level
Local Individual Lower/Mid-Level
Transformation – apples to apples
Aggregation – flagging what should be flagged
Organization Composite Mid-Level/Senior
7
Individual KRI Thresholds
Basic Concepts
Junior management is managing the risk; no mid-level
attention required
Junior management is managing the risk; mid-level
management should monitor the indicator
Management should escalate from junior to mid-level
management
8
Composite KRI Thresholds
Basic Concepts
Mid-level (or junior) management is managing the risk;
no senior attention required
Mid-level management is managing the risk; senior
management should monitor the indicator
Management should escalate from mid-level to senior
management
9
Ranges of Individual KRIs
Basic Concepts
Low Low Exected High High
Underlying KRIs Red Yellow /Target Yellow Red
L1 L0 E H0 H1
Staff Turnover (%) 1 3 8 14 20
Staff Training Days (days/year) 4 8 15 na na
10
Ranges of Individual KRIs
Basic Concepts
Low Low Exected High High
Underlying KRIs Red Yellow /Target Yellow Red
L1 L0 E H0 H1
Staff Turnover (%) 1 3 8 14 20
Staff Training Days (days/year) 4 8 15 na na
L0L1 H1H0E
11
Ranges of Individual KRIs
Basic Concepts
Low Low Exected High High
Underlying KRIs Red Yellow /Target Yellow Red
L1 L0 E H0 H1
Staff Turnover (%) 1 3 8 14 20
Staff Training Days (days/year) 4 8 15 na na
L0L1 H1H0E
Typically, KRIs go:
red-yellow-green-yellow-red or
red-yellow-green or
green-yellow-red
12
Basic Concepts
Individual KRIs
Staff Turnover
0
5
10
15
20
25
1
5
9
13
17
21
25
29
33
37
41
45
Months
Percent
Training
0
2
4
6
8
10
12
14
16
1
5
9
13
17
21
25
29
33
37
41
45
Months
Averagedaysinlast12
mos
13
Basic Concepts
Individual KRIs
Staff Turnover
0
5
10
15
20
25
1
5
9
13
17
21
25
29
33
37
41
45
Months
Percent
Training
0
2
4
6
8
10
12
14
16
1
5
9
13
17
21
25
29
33
37
41
45
Months
Averagedaysinlast12
mos
The ranges and measures are very different before we
transform the KRIs
14
Basic Concepts
Individual KRIs
Staff Turnover
0
5
10
15
20
25
1
5
9
13
17
21
25
29
33
37
41
45
Months
Percent
Training
0
2
4
6
8
10
12
14
16
1
5
9
13
17
21
25
29
33
37
41
45
Months
Averagedaysinlast12
mos
The thresholds are very different too
15
Agenda
Basic Concepts
Transforming Individual KRIs
Creating a Composite Indicator
Senior Management Reporting
16
Transformation to T-Value
Transforming Individual KRIs
T-Value
KRIL0L1 H1H0
1
2
The graphic presentation of the transformation
17
Transformation to T-Value
Transforming Individual KRIs
T-Value
KRIL0L1
1
2
The graphic presentation of the transformation for a red-yellow-green KRI
18
Transformation to T-Values
Transforming Individual KRIs
T = 1 when L0< KRI < H0
T = (KRI + L1 – 2*L0 )/ (L1 – L0) when KRI < L0
T = (KRI + H1 – 2*H0)/(H1 – H0) when KRI > H0.
The algebraic presentation of the transformation
19
Individual KRIs: T-Values
Transforming Individual KRIs
Staff Turnover T-value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Training T-Value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
The transformed ranges and measures are now the same
20
Individual KRIs: T-Values
Transforming Individual KRIs
Staff Turnover T-value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Training T-Value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
And so are the thresholds
21
Individual KRIs: T-Values
Transforming Individual KRIs
Staff Turnover T-value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Training T-Value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Does this work really? Three ranges of
months are red in the two graphs …
22
Individual KRIs
Transforming Individual KRIs
Staff Turnover
0
5
10
15
20
25
1
5
9
13
17
21
25
29
33
37
41
45
Months
Percent
Training
0
2
4
6
8
10
12
14
16
1
5
9
13
17
21
25
29
33
37
41
45
Months
Averagedaysinlast12
mos
… exactly as they were for the
untransformed KRIs. So it does work!
23
Individual KRIs: T-Values
Transforming Individual KRIs
Staff Turnover T-value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Training T-Value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
So, now we can combine “apples” to “apples.”
24
Agenda
Basic Concepts
Transforming Individual KRIs
Creating a Composite Indicator
Senior Management Reporting
25
Senior Management Focus
Are many small things going slightly wrong
in (one or related) area(s)?
Are any things going gravely wrong in any
(unrelated but similar) areas?
26
Basic Distinctions
Creating a Composite Indicator
Related indicators reflect factors that compound one another in
their influence on a common underlying risk
Eg: staff turnover and training
Unrelated indicators reflect factors that do not impact one another
Eg: staff turnover in London and staff turnover in Sydney
27
Basic Principles
Creating a Composite Indicator
Related T-Values indicators we combine by “multiplying” them:
NB: green x green = green, because 1 x 1 = 1.
yellow x yellow can equal yellow or red, because yellows
on average between 1 and square root 2 multiply to less
than 2, and yellows on average above square root 2
multiply to more than 2
Unrelated T-Values we combine by taking the “maximum”:
NB: then the combined indicators tells us if anything really
serious is happening in any of the covered areas
28
Refinements
Creating a Composite Indicator
We should be able to:
Weight the influence of different individual KRIs differently
adjustable weights for each T-Value
Adjust the overall composite indicator to reflect how closely and
how soon senior management wants to be alerted to issues – their
appetite for risk. (We want “red” to be “higher” for senior
management than for middle management: how much higher?)
scaling parameters that affect the thresholds
up and down and the sensitivity of the composite
to changes in the weighted underlying T-Values
29
Individual KRIs: T-Values
Creating a Composite Indicator
Staff Turnover T-value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
Training T-Value
0.0
0.5
1.0
1.5
2.0
2.5
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
The two component individual KRIs …
30
Aggregation Formulae
Creating a Composite Indicator
Related
I = max [1, a * [T(1)w(1) * T(2)w(2)]b]
Unrelated
I = max [1, a * max [T(1)w(1), T(2)w(2)]b]
where I = composite indicator
T(i) = the ith individual KRI
w(i) = the ith KRI weight, Σw(i) = 1, i = 1,2
a and b = “appetite” parameters
It is straightforward to generalize to
more than 2 indicators
31
Staff Quality Index
Creating a Composite Indicator
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
1
4
7
10
13
16
19
22
25
28
31
34
37
40
43
46
Months
T-Values
Turnover
Training
SQI
a = 0.2
b = 1.2
w(1) = 2
w(2) = 2
... And the Composite Staff Quality Index (SQI)
32
Adjusting Appetite and Weights
Creating a Composite Indicator
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
a = 0.2
b = 1.2
w(1) = 2
w(2) = 2
0.0
0.5
1.0
1.5
2.0
2.5
3.0
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
a = 0.2
b = 0.9
w(1) = 2
w(2) = 2
6 – 8, 19, 23 - 24 6 - 8
0.0
0.5
1.0
1.5
2.0
2.5
3.0
1
5
9
13
17
21
25
29
33
37
41
45
Months
T-Value
a = 0.2
b = 0.6
w(1) = 5
w(2) = 1
7 - 10
33
Agenda
Basic Concepts
Transforming Individual KRIs
Creating a Composite Indicator
Senior Management Reporting
34
The One-Page Summary
Senior Management Reporting
Staff Quality Index ___
Audit Issue Management Index ___
Business Continuity Index ___
Failed Customer Interactions Index ___
Information Security Index ___
Information Technology Index ___
Operational Losses ___
Process Breaks Index ___
Profitability Index ___
Policy Exceptions Index ___
Regulatory Index ___
Change Management Index ___
Europe
North America
Asia
Trading and Sales
Payments and Settlement
Retail Banking
Brokerage
Maybe the trading and sales business in
North America is growing too fast? Drill
down and see…
35
Enter Presentation Title Here
Composite Indicators
&
Senior Management Reporting
London
January 17th & 18th, 2006
Charles Taylor
Director, Operational Risk

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Composite indicators

  • 1. 1 Enter Presentation Title Here Composite Indicators & Senior Management Reporting London January 17th & 18th, 2006 Charles Taylor Director, Operational Risk
  • 2. 2 Agenda Basic Concepts Transforming Individual KRIs Creating a Composite Indicator Senior Management Reporting
  • 3. 3 Agenda Basic Concepts Transforming Individual KRIs Creating a Composite Indicator Senior Management Reporting
  • 4. 4 The Basic Problem Combining apples and oranges Combining things in a way that will highlight what senior management needs to focus on
  • 5. 5 KRIs & Management Levels Basic Concepts Location KRI Type Management Level Local Individual Lower/Mid-Level Organization Composite Mid-Level/Senior
  • 6. 6 KRIs & Management Levels Basic Concepts Location KRI Type Management Level Local Individual Lower/Mid-Level Transformation – apples to apples Aggregation – flagging what should be flagged Organization Composite Mid-Level/Senior
  • 7. 7 Individual KRI Thresholds Basic Concepts Junior management is managing the risk; no mid-level attention required Junior management is managing the risk; mid-level management should monitor the indicator Management should escalate from junior to mid-level management
  • 8. 8 Composite KRI Thresholds Basic Concepts Mid-level (or junior) management is managing the risk; no senior attention required Mid-level management is managing the risk; senior management should monitor the indicator Management should escalate from mid-level to senior management
  • 9. 9 Ranges of Individual KRIs Basic Concepts Low Low Exected High High Underlying KRIs Red Yellow /Target Yellow Red L1 L0 E H0 H1 Staff Turnover (%) 1 3 8 14 20 Staff Training Days (days/year) 4 8 15 na na
  • 10. 10 Ranges of Individual KRIs Basic Concepts Low Low Exected High High Underlying KRIs Red Yellow /Target Yellow Red L1 L0 E H0 H1 Staff Turnover (%) 1 3 8 14 20 Staff Training Days (days/year) 4 8 15 na na L0L1 H1H0E
  • 11. 11 Ranges of Individual KRIs Basic Concepts Low Low Exected High High Underlying KRIs Red Yellow /Target Yellow Red L1 L0 E H0 H1 Staff Turnover (%) 1 3 8 14 20 Staff Training Days (days/year) 4 8 15 na na L0L1 H1H0E Typically, KRIs go: red-yellow-green-yellow-red or red-yellow-green or green-yellow-red
  • 12. 12 Basic Concepts Individual KRIs Staff Turnover 0 5 10 15 20 25 1 5 9 13 17 21 25 29 33 37 41 45 Months Percent Training 0 2 4 6 8 10 12 14 16 1 5 9 13 17 21 25 29 33 37 41 45 Months Averagedaysinlast12 mos
  • 13. 13 Basic Concepts Individual KRIs Staff Turnover 0 5 10 15 20 25 1 5 9 13 17 21 25 29 33 37 41 45 Months Percent Training 0 2 4 6 8 10 12 14 16 1 5 9 13 17 21 25 29 33 37 41 45 Months Averagedaysinlast12 mos The ranges and measures are very different before we transform the KRIs
  • 14. 14 Basic Concepts Individual KRIs Staff Turnover 0 5 10 15 20 25 1 5 9 13 17 21 25 29 33 37 41 45 Months Percent Training 0 2 4 6 8 10 12 14 16 1 5 9 13 17 21 25 29 33 37 41 45 Months Averagedaysinlast12 mos The thresholds are very different too
  • 15. 15 Agenda Basic Concepts Transforming Individual KRIs Creating a Composite Indicator Senior Management Reporting
  • 16. 16 Transformation to T-Value Transforming Individual KRIs T-Value KRIL0L1 H1H0 1 2 The graphic presentation of the transformation
  • 17. 17 Transformation to T-Value Transforming Individual KRIs T-Value KRIL0L1 1 2 The graphic presentation of the transformation for a red-yellow-green KRI
  • 18. 18 Transformation to T-Values Transforming Individual KRIs T = 1 when L0< KRI < H0 T = (KRI + L1 – 2*L0 )/ (L1 – L0) when KRI < L0 T = (KRI + H1 – 2*H0)/(H1 – H0) when KRI > H0. The algebraic presentation of the transformation
  • 19. 19 Individual KRIs: T-Values Transforming Individual KRIs Staff Turnover T-value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Training T-Value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value The transformed ranges and measures are now the same
  • 20. 20 Individual KRIs: T-Values Transforming Individual KRIs Staff Turnover T-value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Training T-Value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value And so are the thresholds
  • 21. 21 Individual KRIs: T-Values Transforming Individual KRIs Staff Turnover T-value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Training T-Value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Does this work really? Three ranges of months are red in the two graphs …
  • 22. 22 Individual KRIs Transforming Individual KRIs Staff Turnover 0 5 10 15 20 25 1 5 9 13 17 21 25 29 33 37 41 45 Months Percent Training 0 2 4 6 8 10 12 14 16 1 5 9 13 17 21 25 29 33 37 41 45 Months Averagedaysinlast12 mos … exactly as they were for the untransformed KRIs. So it does work!
  • 23. 23 Individual KRIs: T-Values Transforming Individual KRIs Staff Turnover T-value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Training T-Value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value So, now we can combine “apples” to “apples.”
  • 24. 24 Agenda Basic Concepts Transforming Individual KRIs Creating a Composite Indicator Senior Management Reporting
  • 25. 25 Senior Management Focus Are many small things going slightly wrong in (one or related) area(s)? Are any things going gravely wrong in any (unrelated but similar) areas?
  • 26. 26 Basic Distinctions Creating a Composite Indicator Related indicators reflect factors that compound one another in their influence on a common underlying risk Eg: staff turnover and training Unrelated indicators reflect factors that do not impact one another Eg: staff turnover in London and staff turnover in Sydney
  • 27. 27 Basic Principles Creating a Composite Indicator Related T-Values indicators we combine by “multiplying” them: NB: green x green = green, because 1 x 1 = 1. yellow x yellow can equal yellow or red, because yellows on average between 1 and square root 2 multiply to less than 2, and yellows on average above square root 2 multiply to more than 2 Unrelated T-Values we combine by taking the “maximum”: NB: then the combined indicators tells us if anything really serious is happening in any of the covered areas
  • 28. 28 Refinements Creating a Composite Indicator We should be able to: Weight the influence of different individual KRIs differently adjustable weights for each T-Value Adjust the overall composite indicator to reflect how closely and how soon senior management wants to be alerted to issues – their appetite for risk. (We want “red” to be “higher” for senior management than for middle management: how much higher?) scaling parameters that affect the thresholds up and down and the sensitivity of the composite to changes in the weighted underlying T-Values
  • 29. 29 Individual KRIs: T-Values Creating a Composite Indicator Staff Turnover T-value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value Training T-Value 0.0 0.5 1.0 1.5 2.0 2.5 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value The two component individual KRIs …
  • 30. 30 Aggregation Formulae Creating a Composite Indicator Related I = max [1, a * [T(1)w(1) * T(2)w(2)]b] Unrelated I = max [1, a * max [T(1)w(1), T(2)w(2)]b] where I = composite indicator T(i) = the ith individual KRI w(i) = the ith KRI weight, Σw(i) = 1, i = 1,2 a and b = “appetite” parameters It is straightforward to generalize to more than 2 indicators
  • 31. 31 Staff Quality Index Creating a Composite Indicator 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 Months T-Values Turnover Training SQI a = 0.2 b = 1.2 w(1) = 2 w(2) = 2 ... And the Composite Staff Quality Index (SQI)
  • 32. 32 Adjusting Appetite and Weights Creating a Composite Indicator 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value a = 0.2 b = 1.2 w(1) = 2 w(2) = 2 0.0 0.5 1.0 1.5 2.0 2.5 3.0 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value a = 0.2 b = 0.9 w(1) = 2 w(2) = 2 6 – 8, 19, 23 - 24 6 - 8 0.0 0.5 1.0 1.5 2.0 2.5 3.0 1 5 9 13 17 21 25 29 33 37 41 45 Months T-Value a = 0.2 b = 0.6 w(1) = 5 w(2) = 1 7 - 10
  • 33. 33 Agenda Basic Concepts Transforming Individual KRIs Creating a Composite Indicator Senior Management Reporting
  • 34. 34 The One-Page Summary Senior Management Reporting Staff Quality Index ___ Audit Issue Management Index ___ Business Continuity Index ___ Failed Customer Interactions Index ___ Information Security Index ___ Information Technology Index ___ Operational Losses ___ Process Breaks Index ___ Profitability Index ___ Policy Exceptions Index ___ Regulatory Index ___ Change Management Index ___ Europe North America Asia Trading and Sales Payments and Settlement Retail Banking Brokerage Maybe the trading and sales business in North America is growing too fast? Drill down and see…
  • 35. 35 Enter Presentation Title Here Composite Indicators & Senior Management Reporting London January 17th & 18th, 2006 Charles Taylor Director, Operational Risk