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Q (+02*S~ % Y:HF- *S~s5679 ;:7=?6 " © 0.00724 0.00722 0.00718 0.00720 CKLS approximation 0.00714 0.00716 standard deviation of X_Delta Delta=1/12, x0=theta=0.08, kappa=0.24 sigma x0^gamma kept fixed at 0.025 • 0.0 • • • • • • • 0.2 • • • • 0.4 * * * : finite difference solution ____ : log-quadratic approximation • • • • • • • • • 0.6 0.8 • • • $ 9NH,7D.5* 1.0 gamma 0 9$.?>5 49 "G:<79N=H.6c7>=!67:H.-Y:<?>-[-.549U:<79N=H`=B F?>= IK9N7>DY:?>:"575?>6 +© ®©, . 45-,:<7 ©| ³³ ? $ ©|®©© ° ' t (t $ 2 3 < :T.56a=H,7DF5 "3:"49U6 9 P¯ ? $ d:H.- "="-.5T 5 F 7 9 0.05 drift 0.0 -0.05 -0.10 6 06 9$.?>5 -.?9NB7 " =4-F5T 0.6 15 0.2 0.4 0.6 0.8 20 40 20 No. observations 60 80 Histogram 1.0 0.0 Uniform residual 0.2 0.4 0.6 0.8 1.0 Uniform residual ^*S~ • • • • • • • • • • • • • • • • • • • • • • Estimated drift funtion (with 95% conf. int.) in the•• • Ait-Sahalia(like) model (w/ U.S. 82-95) • • • • • •• • •• • • • •• •• • • •• • •• •• • • • •• • •• • •• •• • • • • ••• •• ••• •••• ••• ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• ' % ' J3 ?>56>9N-Y:TN61BC?=" :HF- 56879 G " :<7>9U=Hg=Bl7DF5 -.:<7E: ••••• ••• ••••••••••••••••••••••••••••••••••••••••••••• •••••• •• ••• • ••• • •• •• • •• • •• •• • •• • •• • • •• • • • • •• • • • • • • • • • • 0.05 0.10 0.15 • • • short rate • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 679";:75-S-.?>9]B7bB .H 79N=H 10 Scatter plot of residuals against lag-1 values Y?:<7>56 0.10 "G="-.5T\=H 5 Lag 9$.?>5 (^?:FD.9:TZ• :<HY:T"69U61=Bl7D.5#.H.9]BC=?" * 0.2 Autocorrelation -0.2 0 Uniform residual • • • ••• ••• • • • •• • • • •• • • ••••• •• •••••••• • ••••••• •• •• ••• • •• ••• • •• • • •• •••• ••• •• • •• •• • • •••• ••• • • • • • •• • • •• •• • • •• • ••• •••• • •• • ••• •• • •• •••••• ••• • • •• ••••••••• • •• • ••• •• • • • • ••••• • ••• • ••• •••• • •• • ••••• •••• •• • •• • • • •••• • ••• ••• •• •••• • •• ••• • • •• • • •• •• • • ••• • ••• •• • •• • •• •• •••••• • •• • • •• • • •• ••• • •• ••• ••••••••• • •••• ••••••••••• ••• • •• •• • •••• •• ••• • •• •••• • • • • • • •• ••• • • •••• ••••••••• • •••• •••• ••• ••••• •••• •• •• •• ••• •• • •• ••• •••••••• • • ••• • •• • •• • • ••••••••• •• ••••• •• ••••••• • •• •• • • ••• •••• • • • • • • ••• • • • • • •• • ••• •• •• • •• •• • • • ••• •• • • • • ••• • •• ••• • •• ••• •••• • • •• •• ••••• ••• ••••••••• • • • • • •• • • • • • •••• • • • ••• ••• • • • • •• • • • •• •• •••••• • • • •• • •• • • •• • 0 1.0 • •••••••• •••••• ••••••• ••••••• • • • • • • • •• ••••••• •••••••• ••••••• ••••• • • • • • • • •••••• ••••••• ••••••• •••••• • • • • • •••••• ••••••• ••••••••• ••••••••• •••••• • 0.0 0.2 0.4 0.6 0.8 1.0 0.0 Autocorrelations 0 Quantiles of U(0,1) Lagged uniform residual 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 Quantile plot =H Y . -.5H 5O9UH7>5? <:TN6+BC=?17D.5;H.=H43TU9UHF5@:?
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