Coding Project

 What I’m looking for is an implementation of the model with a user interface where the user can select certain inputs, run the model, and display an output in the form of a plot or a table. 

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CODING ASSIGNMENT

• Example

• Portfolio of 200 assets
• 5 year horizon
• Asset default probability of 2.3% (BBB level)
• Generate default distribution using different levels of correlations and a

one factor Gaussian copula default time model

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• ASSIGNMENT

• Implement a more generic version of the above example where information on N assets
can be read from an Excel File

• Horizon for the analysis should be a user input
• Asset default probabilities could come from the same Input Excel file
• Generate and plot a default distribution using correlation information from the Input Excel

file (i.e using factor loadings for each asset) and the option to select up to 5 factors (user
input).

2

>Sheet

1

sset Return Xi

3 5

%

%

%

1 2 3 4 5

Rating

1

A

%

%

%

%

%

1

B

60

8

2

7

6

3

6

7

4

60

8

10

3

%

0 6 2 AA

%

%

%

%

%

2 AA

0.10

06048

181

56

749

4

1

4806

472377

6

0253

05

1

2

0 3 A

%

%

0.3

3

B

0.05

0.02 0.05

606048

18256

34

4

752

69

7

%

%

0 4

%

%

4 BBB 0.02

0.16 0.02 0.13

-0.3531754806 0.8788472377

87

8

282

0 5 BB

%

%

5 BB 0.10

0.00 0.13 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

849

6.52% 0 6 B

%

%

%

%

6 BB

0.31 0.24 0.05 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

723869

530213

48% 6.52% 0 7

.08%

7 BB

0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

776

49289

6.52% 0

8 BB

0.31

0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

9 B 0.48 0.16 0.13 0.03

0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

89722571

633

781

0

10 B 0.24 0.07 0.07 0.17 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

24523

17% 16.93% 1

11 BB 0.01 0.09 0.01 0.10 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

05

313

19

3

41% 6.52% 0

12 BB

0.17 0.16 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

94

7

1

52% 6.52% 0

13 B

0.10 0.10 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

80986134

151

35% 16.93% 0

14 BB

0.05

0.14 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

883689

47% 6.52% 0

15 BB

0.05 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

4

167842

6.52% 0

16 BB

0.21 0.06 0.01 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

8482

6825668

6.52% 0

17 B 0.17 0.42 0.01 0.01 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

57

423

41% 16.93% 0

18 BB

0.35 0.16 0.09 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

19 B

0.35 0.09 0.13 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

3278

16.93% 0

20 BBB

0.01 0.03 0.09 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

21 BB 0.02 0.10 0.10 0.01 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

93% 6.52% 0

22 BB 0.06

0.07 0.15 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

23 B

0.18 0.02 0.13 0.00 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

78% 16.93% 0

24 BBB 0.64 0.35 0.06 0.12 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

25 BB 0.21 0.03 0.11 0.09 0.00 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

96523072

26590807

6.52% 0

26 AA

0.00 0.13 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7442252

7850578

87%

0

27 BB 0.30 0.30 0.21 0.06 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

9

92% 6.52% 0

28 BB 0.38

0.31 0.04 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

80% 6.52% 0

29 B 0.57 0.03 0.13 0.13 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

23% 16.93% 0

30 B 0.35

0.03 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

31 B 0.63 0.14 0.19 0.03 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

9913493

87% 16.93% 0

32 BBB 0.38 0.28 0.09 0.09 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

64% 1.58% 0

33 BB 0.38 0.27 0.30 0.09 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

31% 6.52% 0

34 BB

0.25 0.13 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

46

78

52% 6.52% 0

35 BBB 0.23

0.09 0.12 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

8418

5% 1.58% 0

36 BB

0.14 0.18 0.01 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

8933

6.52% 0

37 BBB 0.22 0.15 0.04 0.10 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

68% 1.58% 0

38 BB 0.52 0.31 0.03 0.07 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

52% 6.52% 0

39 BBB

0.15 0.19 0.01 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

27590903

1.58% 0

40 BB 0.52 0.05 0.19 0.11 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

82% 6.52% 0

41 BB

0.21 0.20 0.02 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

812238

6.52% 0

42 BB 0.51 0.24 0.26 0.14 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

2601

6.52% 0

43 B

0.09 0.29 0.12 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

44 B 0.24 0.07 0.05 0.12 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

23% 16.93% 0

45 BB 0.47

0.01 0.14 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

47% 6.52% 0

46 BBB 0.49 0.43 0.23 0.09 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7741741

1.58% 0

47 B 0.19 0.14 0.25 0.12 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

64142

50% 16.93% 0

48 B 0.16 0.10 0.18 0.07 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

49 B

0.26 0.28 0.11 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

78% 16.93% 0

50 BB 0.20 0.00 0.05 0.14 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

51 BB

0.38 0.03 0.03 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

19% 6.52% 0

52 BB 0.16 0.34 0.29 0.01 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

53 A

0.16 0.05 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

316409

68755676

0

54 BB

0.47 0.16 0.07 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7191

6.52% 0

55 AA 0.72 0.09 0.20 0.07 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

84

28

0.31% 0

56 BBB 0.15 0.04 0.06 0.01 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

18% 1.58% 0

57 BBB 0.18 0.21 0.15 0.15 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

18% 1.58% 0

58 B 0.06 0.19 0.09 0.02 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

59 BB 0.30 0.01 0.30 0.13 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

2% 6.52% 1

60 BB 0.59 0.40 0.18 0.11 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

45843

79% 6.52% 0

61 BBB 0.59 0.43 0.01 0.04 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

62 BB 0.46 0.01 0.01 0.03 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

63 BB 0.01 0.02 0.06 0.07 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

64 B 0.37 0.35 0.00 0.13 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

53% 16.93% 0

65 BBB 0.12 0.45 0.25 0.05 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

25868831

1.58% 0

66 BB 0.11 0.29 0.20 0.02 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

90% 6.52% 0

67 BB

0.43 0.08 0.14 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

68 BB 0.63 0.14 0.04 0.11 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

69 BBB 0.03 0.08 0.08 0.12 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

70 BB 0.02 0.19 0.13 0.14 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

159

6.52% 0

71 BB 0.63 0.28 0.22 0.17 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

72 BBB 0.06 0.41 0.11 0.08 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

87% 1.58% 0

73 BB

0.31 0.22 0.17 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

74 BBB 0.15 0.08 0.09 0.14 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1% 1.58% 1

75 B 0.72 0.09 0.06 0.02 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

65903802

16.93% 0

76 BB 0.51 0.28 0.07 0.02 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

77 BB 0.36 0.01 0.09 0.02 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

78 A 0.48 0.46 0.21 0.15 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

48184811

060833

44% 0.47% 0

79 B 0.72 0.20 0.00 0.10 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7

46134784

16.93% 0

80 BB 0.18 0.33 0.12 0.14 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

73% 6.52% 0

81 BB 0.62 0.04 0.12 0.04 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

62% 6.52% 0

82 BBB 0.74 0.13 0.26 0.01 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7282

68% 1.58% 0

83 BBB 0.54 0.01 0.19 0.09 0.14 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

84 BB 0.20 0.25 0.21 0.07 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1919

6.52% 0

85 BB 0.02 0.10 0.00 0.11 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6

6.52% 0

86 BBB 0.48 0.26 0.16 0.07 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

8% 1.58% 0

87 BB

0.19 0.03 0.12 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

60% 6.52% 0

88 B 0.60 0.36 0.18 0.02 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

67870073

16.93% 0

89 B 0.44 0.13 0.07 0.17 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

71% 16.93% 0

90 BB 0.01 0.07 0.09 0.01 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

897

6.52% 0

91 BBB 0.69 0.29 0.21 0.01 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

67% 1.58% 0

92 B 0.17 0.34 0.29 0.06 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

93 BB 0.40 0.40 0.11 0.02 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

10% 6.52% 0

94 B 0.01 0.07 0.07 0.09 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

95 BB 0.12 0.29 0.17 0.09 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

9% 6.52% 0

96 A 0.10 0.47 0.23 0.01 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

5210867

46% 0.47% 0

97 B 0.12 0.31 0.06 0.17 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

98 B 0.17 0.14 0.21 0.04 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7% 16.93% 1

99 BB 0.40 0.38 0.12 0.14 0.07 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

58% 6.52% 0

100 BBB 0.52 0.21 0.31 0.01 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

48% 1.58% 0

101 BBB 0.57 0.10 0.13 0.14 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

13% 1.58% 0

102 B 0.57 0.13 0.10 0.09 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

31% 16.93% 0

103 BB 0.38 0.05 0.01 0.11 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

62% 6.52% 0

104 BBB 0.15 0.47 0.12 0.13 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

2% 1.58% 0

105 BBB 0.14 0.12 0.29 0.06 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

289617

1.58% 0

106 B 0.30 0.08 0.30 0.01 0.09 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

84% 16.93% 0

107 BB 0.70 0.49 0.12 0.05 0.00 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

82605

64% 6.52% 0

108 B 0.77 0.33 0.24 0.04 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

3606

87% 16.93% 0

109 BB 0.16 0.42 0.05 0.01 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

5% 6.52% 1

110 B 0.32 0.47 0.12 0.00 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

81% 16.93% 0

111 B 0.43 0.01 0.16 0.05 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

88% 16.93% 0

112 B 0.02 0.33 0.03 0.13 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

82% 16.93% 0

113 BBB 0.44 0.46 0.12 0.02 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

94% 1.58% 0

114 BB 0.08 0.47 0.01 0.03 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

115 AA 0.30 0.40 0.19 0.02 0.01 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

82% 0.31% 0

116 BB 0.74 0.18 0.16 0.07 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

42% 6.52% 0

117 BB 0.22 0.18 0.02 0.13 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

15% 6.52% 0

118 BB 0.55 0.04 0.16 0.03 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

BBB 0.63 0.13 0.12 0.07 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

81% 1.58% 0

120 B 0.05 0.21 0.28 0.05 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

16.93% 0

121 B 0.56 0.22 0.13 0.11 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

68% 16.93% 0

122 B 0.28 0.37 0.13 0.17 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

82% 16.93% 0

123 BBB 0.18 0.10 0.21 0.15 0.11 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

27% 1.58% 0

124 BB 0.40 0.05 0.02 0.12 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6% 6.52% 1

125 B 0.47 0.42 0.21 0.02 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

57% 16.93% 0

126 B 0.07 0.49 0.23 0.12 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

72% 16.93% 0

127 BB 0.26 0.42 0.02 0.05 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

128 BBB 0.58 0.26 0.19 0.07 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

129 BB 0.14 0.25 0.06 0.13 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

18% 6.52% 0

130 BBB 0.49 0.06 0.30 0.17 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

BBB 0.59 0.06 0.15 0.03 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

76% 1.58% 0

132 BB 0.63 0.48 0.12 0.13 0.00 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

955

73% 6.52% 0

133 BB 0.47 0.13 0.09 0.12 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

96% 6.52% 0

134 BBB 0.58 0.31 0.17 0.02 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

90% 1.58% 0

BB 0.09 0.09 0.13 0.16 0.08 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

7% 6.52% 0

B 0.61 0.07 0.16 0.15 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

27% 16.93% 0

137 BB 0.61 0.42 0.06 0.17 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

138 BBB 0.71 0.42 0.25 0.05 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

51% 1.58% 0

139 BB 0.37 0.26 0.10 0.08 0.13 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

6.52% 0

140 BB 0.53 0.46 0.03 0.16 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

64% 6.52% 0

141 BB 0.55 0.35 0.04 0.04 0.05 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

26% 6.52% 0

142 BBB 0.19 0.16 0.07 0.04 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

143 BBB 0.64 0.34 0.06 0.11 0.04 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

22% 1.58% 0

144 BB 0.41 0.05 0.20 0.11 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

43% 6.52% 0

145 BBB 0.33 0.45 0.13 0.14 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

12% 1.58% 0

146 BB 0.09 0.37 0.19 0.03 0.03 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

23% 6.52% 0

147 BBB 0.21 0.18 0.28 0.11 0.10 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

148 BB 0.54 0.44 0.17 0.02 0.12 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

90% 6.52% 0

149 BB 0.43 0.13 0.05 0.14 0.02 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

77% 6.52% 0

150 BBB 0.23 0.24 0.04 0.10 0.06 0.0397606048 0.4811818256 -0.0974749634 -0.3531754806 0.8788472377

1.58% 0

Factor Loadings Systematic Factor Draws Idiosyncratic Factor Draw # of Factors A Ui (Xi transformed to Uniform space) Horizon (years) PD Default? Total Defaults PD1 PD2 PD

3 PD

4 PD

5
Relative Importance
6 0 25 10 3% 2%
Rating
Asset # F1 F2 F3 F4 F5 S1 S2 S3 S4 S5 Z AA 0.00 0.03 0.

13 0.

24 0.

35
B 0.

23 0.2

8 0.10 0.

16 0.0

9 0.0

39 7 60 48 0.48 11 18 56

0.09 47 49 34

0.35 17 54 80 0.8

78 84 72 37 0.

77 79 38 0.8

57 69 94 80% 6.

52 0.02 0.06 0.

12 0.

21 0.

31
0.

66 0.

36 0.

29 0.

14 0.039

76 0.4

81 82 -0.09

74 63 -0.3

53 75 0.

87 88 1.1

65 59 0.

86 46 30 8

1% 0.

31% 0.05 0.14 0.

23% 5% 0.

4

7%
BB 0.30 0.13 0.03

97 0.48

118 -0.097474

96 -0.3531754806 0.8788472377 -1.

28 64 68 -1.0

44 67 26 15 1.

58 BBB 0.16 0.

45 0.

7

8% 1.

17% 1.

58%
0.24 0.0397606048 0.4811818256 -0.0974749634 0.97

41 19 22 1.12

62 70 87% 1.58% 0.

61 1.

92 3.

48% 5.05% 6.52%
0.31 -1.52

42 124 -1.3000662812 10% 3.

33 7.

71 11.

55 14.58% 16.

93
0.

51 -0.3

134 -0.03

89 CCC/C 27 36.

64% 41.

41% 44.10% 46.

1

9%
0.53 0.07 0.21 0.17 -1.16866

20 -0.931

73 18%
0.42 0.04 0.01 -1.6192239496 -1.2006347965 11%
0.12 0.38 0.

50 90 69% 16.93%
-1.011

91 -0.9664500713

0.28 101

0.22 40 150
0.64 0.18 -0.09330

133 0.0511

98 83
0.63 0.11

0.57 -0.3806

147
0.51 0.26 -0.14

99 -0.0762904593
0.74 0.41 0.29 2.9700

126 43 1.56

32 94%
0.27 -0.380

111 -0.

143 44%
-0.6317617214

0.23 112
0.52 0.8786890684 0.9041815766 82%
0.15 -1.0687378043 -0.8

142 85 21%
0.20 0.8724193079 0.8739142925 81%
1.363883946 1.4454728742
0.39 1.6903383865 1.7177463423 9

6%
0.61 0.9487574358 0.78645731
1.4256942375 1.1539425406 88%
0.36 0.34 63%
0.45 0.37 1.

104 1.

122 0.31%
1.3700

95 138 1.4194

106 149
0.25 0.8435654702 0.8276001966
-0.9431065644 -0.7437812401
0.49 0.19 -1.2894534237 -0.767225245 22%
1.3966555

125 1.

140
0.1798343644 0.3492618799
-0.86904322 -0.4966822509
0.08 0.47 -0.2

102 109 0.04583

146
0.40 -2.0187812525 -1.608

139
0.46 0.396

145 0.4714079885 68%
0.317803847 0.4660364593
-0.1846274954 0.0436671564
0.44 0.5746946974 0.59 72%
1.0779922277 0.914028412
0.73 -0.2470339732 0.0

114 50%
1.

117 144 0.9408420521 83%
0.55 1.4992779825 1.2507269716 89%
-0.8249035519 -0.7501741969
0.43 -0.4386369568 -0.0711439204
-1.

121 -0.5144795493 30%
-0.0852495348 -0.00

113
-0.3401027802 -0.2003935482 42%
0.62 0.8794346376 0.7650016856
-0.7322781121 -0.6443889416 26%
0.72 -1.9097224049 -0.8633408003
-0.2242575334 -0.0343637721 49%
0.68 0.33 -0.9

115

0.32 37% 0.47%
0.77 -1.091

103 -0.1337316173 45%
1.

137 108 0.8021171818 79%
-1.0327246851 -0.9306007

132
-1.0925437284 -0.9159695113
1.6521911432 1.7751422832 96%
-2.2247076048 -2.0038503777
0.89

105 0.8015820121
1.492480907 1.3095676375 90%
-0.062138293 0.0682239916 53%
0.282447016 0.2946365137 62%
-0.0754661408 0.0865171957
0.54 0.732781387 77%
1.1543016899 1.2741874363
0.56 0.3208751085 0.4467368985 67%
2.4333009218 1.9194519179 97%
0.3033755867 0.3863624598 65%
-1.2996

100 -1.1589138507 12%
-0.9531143743 -0.4527521857 33%
1.0649923559 1.1263133647
0.67 -0.5343449323 -0.1055995747 46%
-2.3223899556 -2.1905170845
0.8475177414 0.70 76%
-0.6798664067 -0.2796236565 39%
-1.1778080539 -1.0333073021 15%

0.58 -0.

141
0.636010

120 0.60 73%
0.4704317196 0.6223969943
0.2180715125 0.3061225067
0.4740154355 0.454

128
0.2067622825 0.2608023761 60%

0.0003 0.1831664657 57%
0.4273818933 0.540854

130 71%
-2.0256583528 -1.4231703318
0.69 0.1874190019 0.2611379554

0.71 -0.2440257601 40%
0.5715948274 0.5676817164
-1.1947

116 -1.1404960466 13%
0.4275332901 0.4503359208
1.0035861332 1.073555112 86%
-1.8889050219 -1.2873543351
1.6009568379 1.601568488 95%
-1.6773697062 -1.3376576938
-0.409909931 -0.

107
-0.1382656732 0.0363326674 51%
-1.5853657141 -1.4683449025
-0.000878833 0.1978215694
-0.3434610941 -0.0568755919
-1.4780594297 -1.1430427954
-0.769276654 -0.4866695313
0.3260583404 0.3082523532
-2.6300739204 -1.9793874589
0.9741874249 1.0

110 84%
1.005754062 0.9939019508
0.2527294329 0.36

127
1.8450286788 1.

123 129
-2.0927704087 -1.6221746992
0.688329009 0.8730223151
1.2287165093 1.1752253932
0.8586354885 0.9240727382
1.6665458388 1.5153749772
-1.0763376283 -0.6199787122 27%
0.8749688844 0.9294856594
-0.52030377 -0.1942818757
-1.2742759375 -1.050883074
1.467602033 1.3213792073 91%
119 1.0187523481 0.8671825769
-0.8641918283 -0.7152415041 24%
0.378105047 0.4648037474
0.9099445115 0.9123254243
-0.7435590978 -0.6159685227
-1.8342330439 -1.5676250274
-0.1652144402 0.1808416624
0.4909928624 0.5955031208
0.5209446476 0.6880382658 75%
-0.0143353977 0.1105603276 54%
-1.1206551143 -0.9338933926
-0.8090658224 -0.5792060254 28%
131 0.7851763884 0.7172139968
0.7002780053 0.6060

148
1.8916560689 1.7219369492
1.4711038989 1.3017458933
135 -1.5935206102 -1.4859469135
136 -0.8408660227 -0.5997882503
-0.5984529814 -0.1679293741 43%
-0.5157775037 0.0216158192
-1.2068039875 -0.832894 20%
0.1353701187 0.3665170026
-1.1403908104 -0.6471556241
-1.2867430849 -1.0811091232 14%
-1.3850612675 -0.7634616383
-0.236725237 -0.1730682258
-1.756279839 -1.1583340211
-1.0143710422 -0.740272839
2.345202621 2.2454918076 99%
1.4311130801 1.2947153862
0.793530037 0.7396431628
-1.2131533355 -0.9971533768 16%

PD Table

Rating 1 2 3 4 5

0 0.0003

AA

A

0.0035

BBB

BB

B

CCC/C

Horizon –>
AAA 0.0013 0.0024 0.0035
0.0002 0.0006 0.0012 0.0021 0.0031
0.0005 0.0014 0.0023 0.0047
0.0016 0.0045 0.0078 0.0117 0.0158
0.0061 0.0192 0.0348 0.0505 0.0652
0.0333 0.0771 0.1155 0.1458 0.1693
0.2708 0.3664 0.4141 0.441 0.4619

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