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Empirical Evaluation of Hybrid Defaultable Bond Pricing ... - risklab

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Table 17: Test <strong>of</strong> out—<strong>of</strong>-sample explanatory power <strong>of</strong> the extended model <strong>of</strong><br />

Schmid and Zagst for non-defaultable yields. The last two columns show the<br />

p-values <strong>of</strong> the F-tests against the null hypotheses a =0and (a, b) =(0, 1). The<br />

results are based on weekly data <strong>of</strong> Treasury Strips between June 1, 2001, and<br />

August 15, 2001.<br />

τ a b R 2 a =0 a =0,b= 1<br />

3months -2.1790·10 −4 0.1755 0.0858 0.0368 0<br />

6months -1.8232·10 −4 0.2783 0.3235 0.0128 0<br />

1year -1.3243·10 −4 0.6509 0.6212 0.1437 0<br />

2years -9.7890·10 −5 0.8173 0.8016 0.1668 0<br />

3years -5.1267·10 −5 0.9439 0.9166 0.2894 0.0783<br />

4years -2.8998·10 −5 0.9634 0.9788 0.2193 0.0162<br />

5years 8.5715·10 −7 1.0104 0.9999 0.6430 0<br />

7years 3.2959·10 −5 0.9817 0.9538 0.3279 0.3851<br />

10 years 5.3078·10 −5 0.9514 0.8974 0.2604 0.1289<br />

20 years 6.0304·10 −5 0.9205 0.7719 0.3161 0.1297<br />

30 years 5.6829·10 −5 1.0108 0.6936 0.3982 0.6949<br />

Table 18: Test <strong>of</strong> in-sample explanatory power <strong>of</strong> the model <strong>of</strong> Bakshi, Madan<br />

and Zhang for non-defaultable yields. The last two columns show the p-values<br />

<strong>of</strong> the F-tests against the null hypotheses a =0and (a, b) =(0, 1). Theresults<br />

are based on weekly data <strong>of</strong> Treasury Strips between October 1, 1993, and June<br />

1, 2001.<br />

τ a b R 2 a =0 a =0,b= 1<br />

3months 8.1956·10 −6 0.5264 0.3520 0.8786 0<br />

6months -1.4537·10 −7 0.6138 0.6242 0.9967 0<br />

1year -1.3375·10 −6 0.8583 0.8236 0.9627 0<br />

2years -5.4039·10 −7 1.0107 0.9981 0.8620 0<br />

3years 2.2608·10 −6 1.0269 0.9706 0.8532 0.0114<br />

4years 4.8929·10 −6 1.0170 0.5493 0.9375 0.9318<br />

5years 3.3201·10 −6 1.0485 0.9776 0.7563 0<br />

7years 2.9940·10 −6 1.0412 0.9772 0.7785 0<br />

10 years -2.1858·10 −6 1.0120 0.9844 0.7959 0.1681<br />

20 years -3.3934·10 −6 0.9154 0.9234 0.8352 0<br />

30 years -6.3455·10 −6 0.9415 0.7064 0.8538 0.1572<br />

38

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