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

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Table 25: 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 BBB1 spreads. 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 June 1, 2001, andAugust<br />

15, 2001.<br />

Maturity a b R 2 a =0 a =0,b= 1<br />

3 Months -2.5276·10 −5 0.7015 0.1751 0.7831 0.1166<br />

6 Months -2.376·10 −5 0.3597 0.0583 0.7633 0<br />

1Year 1.6800·10 −5 1.5245 0.9053 0.4585 0<br />

2Years 1.2188·10 −5 1.0585 0.3527 0.8130 0.8929<br />

3Years 2.1560·10 −5 1.5295 0.4792 0.6648 0.0027<br />

4Years 5.4541·10 −6 0.8987 0.2023 0.9156 0.8191<br />

5Years 5.4744·10 −6 0.8083 0.1591 0.9150 0.5309<br />

7Years 2.0507·10 −5 1.2161 0.2971 0.6793 0.4608<br />

10 Years 1.2919·10 −6 1.2282 0.3384 0.9769 0.3645<br />

20 Years 2.2289·10 −5 1.5332 0.5186 0.5569 0.0010<br />

30 Years 3.1546·10 −5 1.9345 0.5329 0.4976 0<br />

Table 26: Test <strong>of</strong> in-sample explanatory power <strong>of</strong> the extended model <strong>of</strong> Schmid<br />

and Zagst for A2 spreads. The last two columns show the p-values <strong>of</strong> the F-tests<br />

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

weekly data <strong>of</strong> Treasury Strips between October 1, 1993, and June 1, 2001.<br />

τ a b R 2 a =0 a =0,b= 1<br />

3months 1.3097·10 −6 0.8084 0.2266 0.9749 0.0391<br />

6months 3.4119·10 −6 0.8927 0.3585 0.9083 0.2018<br />

1year -2.0876·10 −6 1.3200 0.8966 0.8177 0<br />

2years -3.3194·10 −7 1.0131 0.4333 0.9848 0.9750<br />

3years 5.3541·10 −7 1.0917 0.4526 0.9720 0.3131<br />

4years -1.8315·10 −5 2.1747 0.1420 0.7687 0<br />

5years -6.2845·10 −6 1.3654 0.5564 0.6447 0<br />

7years -6.4588·10 −6 1.4064 0.5307 0.6529 0<br />

10 years 1.2235·10 −6 1.1073 0.3391 0.9416 0.3790<br />

20 years 9.5899·10 −6 0.8640 0.2014 0.6108 0.2700<br />

30 years -7.3028·10 −6 1.5061 0.1796 0.8373 0.0078<br />

42

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