A KING AIR FO PF OVERSHOOTS HIS ASSIGNED ALT DURING A CLBOUT TO 5000 FT N OF SAT; TX.

Narrative

I WAS CLBING AFTER A L TURN FROM THE ARPT ENVIRONMENT. I WAS TO CLB TO 5000 FT MSL AS INSTRUCTED IN MY IFR CLRNC. I WAS PASSING THROUGH 3000 FT MSL; 170 KIAS; WHEN THE PNF (WHO HAD OVER 3000 FLT HRS IN TYPE AND WAS THE SENIOR PERSON ON BOARD) ADVISED (OR SUGGESTED) THAT I PULL IT BACK FOR 140 KIAS SO WE COULD TAKE MORE ADVANTAGE OF THE TAILWINDS. THIS GAVE US A CLB RATE INCREASE FROM 1000 FPM TO APPROX 2000 FPM. BECAUSE OF THIS INCREASE IN CLB RATE OF WHICH I WAS NOT USED TO; AND THE FACT WE WERE SO CLOSE TO OUR ASSIGNED ALT OF 5000 FT MSL; I PASSED THROUGH MY ALT. HOWEVER; DUE TO THE FACT WE HAD PUT 5000 FT INTO THE ALT ALERTER; I SAW IT FLASH AND IMMEDIATELY REALIZED WHAT HAD HAPPENED. I IMMEDIATELY PUSHED THE NOSE FORWARD. THE ALT OF THE AIRPLANE READ 5350 FT MSL. WHILE THIS WAS HAPPENING THE DEP CTLR CALLED MY ACFT AND SAID TO MAINTAIN 5000 FT. IN THE MOMENTS BEFORE THIS; THE PNF FAILED TO CALL OUT THE 1000 FT PRIOR OR 200 FT PRIOR CALLOUTS; WHICH WE HAD DONE ON THE PRIOR LEGS. I WAS OFF MY ALT NO MORE THAN 5 SECONDS. THIS ALT BUST WAS ENTIRELY MY FAULT AS THE PIC. I FEEL THAT IN THE FUTURE THAT I SHOULD PAY MUCH MORE ATTN TO WHAT ALT I'M FLYING TO AND KEEP MY FOCUS ON THAT AS MUCH AS POSSIBLE UNTIL THE DESIRED ALT IS ATTAINED. I FEEL THAT BECAUSE OF MY INEXPERIENCE IN THIS ACFT AT THE TIME (IE; THE HIGH CLB RATE) THIS WAS THE MAJOR CAUSE OF THIS ALT BUST.