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

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

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

1<br />

1<br />

b(τ)/τ<br />

0.5<br />

b(τ)/τ<br />

0.5<br />

f 1<br />

f 1<br />

f 2<br />

0<br />

0<br />

0 5 10 0 5 10<br />

Maturity τ (year)<br />

Maturity τ (year)<br />

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

1<br />

f 1<br />

b(τ)/τ<br />

0.5<br />

f 2<br />

f 3<br />

0<br />

0 5 10<br />

Maturity τ (year)<br />

Figure 5: Estimated term structure <strong>factor</strong> loadings (1994:Q4-2005:Q2)<br />

200<br />

0<br />

Fitting error bank 1 deposit rate (bp)<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 />

200<br />

0<br />

Fitting error bank 2 deposit rate (bp)<br />

-200<br />

1996 1998 2000 2002 2004<br />

-200<br />

1996 1998 2000 2002 2004<br />

200<br />

Fitting error bank 3 deposit rate (bp)<br />

200<br />

Fitting error bank 4 deposit rate (bp)<br />

0<br />

0<br />

-200<br />

1996 1998 2000 2002 2004<br />

-200<br />

1996 1998 2000 2002 2004<br />

200<br />

Fitting error bank 5 deposit rate (bp)<br />

200<br />

Fitting error bank 6 deposit rate (bp)<br />

0<br />

0<br />

-200<br />

1996 1998 2000 2002 2004<br />

-200<br />

1996 1998 2000 2002 2004<br />

200<br />

Fitting error bank 7 deposit rate (bp)<br />

200<br />

Fitting error bank 8 deposit rate (bp)<br />

0<br />

0<br />

-200<br />

1996 1998 2000 2002 2004<br />

-200<br />

1996 1998 2000 2002 2004<br />

Figure 6: Comparison <strong>model</strong> …t errors <strong>of</strong> deposit rate time series <strong>of</strong> 8 banks considered (1994:Q4-<br />

2005:Q2)<br />

30

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