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CEFIN Working Papers

No 2

Default risk: Poisson mixture and the business cycle

by Chiara Pederzoli

(2)

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( #

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"%&# %$ !"' $ & $ ( ##"%& $%

" " " #

0 0,05 0,1 0,15 0,2 0,25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Number of defaults P ro ba bi lit y

Negative Binomial Poisson

)"* $

% " %

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0 0,05 0,1 0,15 0,2 0,25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Poisson E-R mixture

)"* $

% 2 ' % )2/@.!+ 0 0,02 0,04 0,06 0,08 0,1 0,12 0,14 0,16 0,18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Poisson E-R mixture

)"* $

% 2 '

(13)

P(R)=0,1; =2% P(R)=0,1; =3% 0,00 0,02 0,04 0,06 0,08 0,10 0,12 0,14 0,16 0,18 0,20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Number of defaults P ro ba bi lit y

E-R mixture Negative Binomial

0,00 0,02 0,04 0,06 0,08 0,10 0,12 0,14 0,16 0,18 0,20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Number of defaults P ro ba bi lit y

E-R mixture Negative Binomial

)"* $

% 2 ' = ' # P(R)=0,8; =2.5% P(R)=0,1; =2.5% 0,00 0,02 0,04 0,06 0,08 0,10 0,12 0,14 0,16 0,18 0,20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Number of defaults P ro ba bi lit y

E-R mixture Negative Binomial

0,00 0,02 0,04 0,06 0,08 0,10 0,12 0,14 0,16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Number of defaults P ro ba bi lit y

E-R mixture Negative Binomial

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