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

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Table 27: 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 A2 spreads. The last two columns show the p-values <strong>of</strong><br />

the F-tests against the null hypotheses a =0and (a, b) =(0, 1). The results are<br />

based on weekly data <strong>of</strong> Treasury Strips between June 1, 2001, andAugust15,<br />

2001.<br />

τ a b R 2 a =0 a =0,b= 1<br />

3months -4.0961·10 −6 0.9280 0.4174 0.9615 0.7833<br />

6months -1.1111·10 −5 0.8787 0.3932 0.8814 0.4950<br />

1year 7.2184·10 −6 1.3764 0.9111 0.7572 0<br />

2years 4.4960·10 −6 0.8876 0.2545 0.9382 0.7283<br />

3years 8.2490·10 −6 1.3617 0.3554 0.8835 0.1155<br />

4years 1.2218·10 −5 1.3316 0.5290 0.7219 0.0223<br />

5years 1.5575·10 −5 1.4094 0.5765 0.6175 0.0021<br />

7years 1.0919·10 −6 1.0820 0.3764 0.9749 0.8201<br />

10 years -9.9869·10 −6 0.9113 0.1424 0.8576 0.9098<br />

20 years -3.6584·10 −7 0.9605 0.1937 0.9942 0.9768<br />

30 years -1.5563·10 −5 0.7657 0.1082 0.7859 0.5270<br />

Table 28: Test <strong>of</strong> in-sample explanatory power <strong>of</strong> the model <strong>of</strong> Bakshi, Madan<br />

and Zhang for BBB1 spreads. The last two columns show the p-values <strong>of</strong> the<br />

F-tests against the null hypotheses a =0and (a, b) =(0, 1). The results are<br />

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

2001.<br />

τ a b R 2 a =0 a =0,b= 1<br />

3months -9.1231·10 −6 1.1633 0.0963 0.8389 0.6531<br />

6months -6.4168·10 −6 0.8700 0.0853 0.8564 0.6419<br />

1year -1.2582·10 −5 1.1919 0.2350 0.6326 0.1951<br />

2years -1.2144·10 −5 1.3427 0.4713 0.4783 0<br />

3years -1.0929·10 −5 1.5846 0.7706 0.2929 0<br />

4years -1.2980·10 −5 1.6331 0.0878 0.8380 0.0579<br />

5years 2.7875·10 −6 0.8420 0.2299 0.8815 0.1252<br />

7years 6.5463·10 −6 0.8367 0.2318 0.7268 0.1021<br />

10 years 6.0738·10 −6 0.9774 0.2900 0.7502 0.9168<br />

20 years 1.5046·10 −5 0.7108 0.1419 0.4952 0.0043<br />

30 years 1.4509·10 −6 1.2069 0.1459 0.9684 0.3655<br />

43

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