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

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Table 23: Test <strong>of</strong> out—<strong>of</strong>-sample explanatory power <strong>of</strong> the model <strong>of</strong> Schmid and<br />

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 June 1, 2001, and August 15, 2001.<br />

τ a b R 2 a=0 a=0, b=1<br />

3 months 2.4932·10 −6 1.1048 0.3876 0.9768 0.7265<br />

6 months -4.3327·10 −6 1.0831 0.3853 0.9533 0.8126<br />

1year 2.6432·10 −6 1.4872 0.6571 0.9543 0<br />

2years 2.1582·10 −5 1.2478 0.3292 0.6945 0.3289<br />

3years 2.7286·10 −5 1.7289 0.3975 0.6179 0.0020<br />

4years 1.5010·10 −5 1.4481 0.4400 0.6918 0.0172<br />

5years 1.3418·10 −5 1.4935 0.4404 0.7113 0.0098<br />

7years -1.2762·10 −5 0.8099 0.1215 0.7574 0.6464<br />

10 years -2.2822·10 −5 0.8004 0.04373 0.6998 0.8183<br />

20 years -1.2461·10 −5 1.6411 0.07379 0.8180 0.4590<br />

30 years -3.3564·10 −5 1.3692 0.02015 0.5797 0.7487<br />

Table 24: Test <strong>of</strong> in-sample explanatory power <strong>of</strong> the extended model <strong>of</strong> Schmid<br />

and Zagst 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 1.0212·10 −5 0.9159 0.2471 0.8026 0.5601<br />

6months 5.2728·10 −6 0.8646 0.2869 0.8659 0.1409<br />

1year -4.8029·10 −6 1.4812 0.8749 0.6510 0<br />

2years -4.1865·10 −6 1.0945 0.4581 0.8089 0.2838<br />

3years -3.1328·10 −6 1.1691 0.4631 0.8436 0.0287<br />

4years -2.5162·10 −5 2.0421 0.1309 0.6850 0.0005<br />

5years -9.2685·10 −7 0.8857 0.2247 0.9607 0.3778<br />

7years -1.4729·10 −6 1.0066 0.2767 0.9356 0.9941<br />

10 years -4.7821·10 −6 1.1869 0.3419 0.7953 0.0787<br />

20 years -5.9106·10 −6 1.2964 0.3799 0.7535 0.0019<br />

30 years -3.4185·10 −5 2.1661 0.3886 0.2726 0<br />

41

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