DOW
VaR Backtests & Violation Summary
| Period |
N |
Expect 95% |
Observed |
p-value |
Normal |
p-value |
Expect 99% |
Observed |
p-value |
Normal |
p-value |
| All |
6576 |
329 |
335 |
0.371 |
313 |
0.194 |
66 |
68 |
0.407 |
101 |
0 |
| 2000 |
204 |
10 |
17 |
0.03 |
18 |
0.01 |
2 |
3 |
0.33 |
6 |
0.02 |
| 1999 |
261 |
13 |
12 |
0.45 |
13 |
0.57 |
3 |
0 |
0.07 |
3 |
0.48 |
| 1998 |
261 |
13 |
14 |
0.43 |
16 |
0.24 |
3 |
4 |
0.27 |
8 |
0.01 |
| 1997 |
261 |
13 |
19 |
0.07 |
20 |
0.04 |
3 |
4 |
0.27 |
9 |
0 |
| 1996 |
262 |
13 |
16 |
0.24 |
16 |
0.24 |
3 |
4 |
0.27 |
8 |
0.01 |
| 1995 |
260 |
13 |
9 |
0.16 |
7 |
0.05 |
3 |
2 |
0.52 |
2 |
0.52 |
| 1994 |
259 |
13 |
15 |
0.32 |
13 |
0.53 |
3 |
4 |
0.26 |
6 |
0.05 |
| 1993 |
257 |
13 |
7 |
0.05 |
7 |
0.05 |
3 |
1 |
0.27 |
2 |
0.53 |
| 1992 |
254 |
13 |
7 |
0.06 |
5 |
0.01 |
3 |
2 |
0.53 |
2 |
0.53 |
| 1991 |
253 |
13 |
7 |
0.06 |
7 |
0.06 |
3 |
1 |
0.28 |
3 |
0.46 |
| 1990 |
253 |
13 |
16 |
0.2 |
15 |
0.29 |
3 |
1 |
0.28 |
5 |
0.11 |
| 1989 |
252 |
13 |
12 |
0.51 |
11 |
0.39 |
3 |
1 |
0.28 |
3 |
0.46 |
| 1988 |
253 |
13 |
16 |
0.2 |
11 |
0.39 |
3 |
3 |
0.46 |
5 |
0.11 |
| 1987 |
253 |
13 |
21 |
0.02 |
20 |
0.03 |
3 |
5 |
0.11 |
8 |
0 |
| 1986 |
253 |
13 |
17 |
0.13 |
15 |
0.29 |
3 |
7 |
0.01 |
6 |
0.04 |
| 1985 |
252 |
13 |
6 |
0.03 |
5 |
0.01 |
3 |
1 |
0.28 |
1 |
0.28 |
| 1984 |
253 |
13 |
9 |
0.18 |
9 |
0.18 |
3 |
2 |
0.54 |
2 |
0.54 |
| 1983 |
253 |
13 |
11 |
0.39 |
11 |
0.39 |
3 |
0 |
0.08 |
0 |
0.08 |
| 1982 |
253 |
13 |
11 |
0.39 |
11 |
0.39 |
3 |
3 |
0.46 |
4 |
0.25 |
| 1981 |
253 |
13 |
10 |
0.28 |
10 |
0.28 |
3 |
3 |
0.46 |
3 |
0.46 |
| 1980 |
253 |
13 |
21 |
0.02 |
20 |
0.03 |
3 |
5 |
0.11 |
5 |
0.11 |
| 1979 |
253 |
13 |
11 |
0.39 |
9 |
0.18 |
3 |
3 |
0.46 |
3 |
0.46 |
| 1978 |
252 |
13 |
14 |
0.38 |
9 |
0.19 |
3 |
4 |
0.25 |
3 |
0.46 |
| 1977 |
252 |
13 |
17 |
0.13 |
15 |
0.28 |
3 |
2 |
0.54 |
1 |
0.28 |
| 1976 |
253 |
13 |
10 |
0.28 |
10 |
0.28 |
3 |
2 |
0.54 |
2 |
0.54 |
| 1975 |
253 |
13 |
10 |
0.28 |
10 |
0.28 |
3 |
1 |
0.28 |
1 |
0.28 |
Alexander McNeil ( mcneil@math.ethz.ch )