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A multi-factor model for the valuation and risk management of ...

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0.06<br />

0.055<br />

Data<br />

1 <strong>factor</strong> <strong>model</strong><br />

2 <strong>factor</strong> <strong>model</strong><br />

3 <strong>factor</strong> <strong>model</strong><br />

Fit average yield curve<br />

0.05<br />

0.045<br />

0.04<br />

0.035<br />

0.03<br />

0 1 2 3 4 5 6 7 8 9 10<br />

Maturity τ (year)<br />

Figure 3: Comparison <strong>model</strong>-implied …t average yields (1994:Q4-2005:Q2)<br />

200<br />

Fitting error 6m y ield (bp)<br />

100<br />

-100<br />

0<br />

-200<br />

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004<br />

200<br />

Fitting error 5y r y ield (bp)<br />

100<br />

-100<br />

0<br />

-200<br />

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004<br />

200<br />

Fitting error 10y r y ield (bp)<br />

100<br />

-100<br />

0<br />

-200<br />

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004<br />

Figure 4: Comparison …tting errors <strong>for</strong> each yield time series (1994:Q4-2005:Q2)<br />

29

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