Work your contractually obligated two hours and leave. You aren’t a slave.

We tend to love our jobs more than our jobs love us.

You should not feel bad at all about going in and working just two hours. If you have been mistreated at that job, it will be just deserts when you leave, or stop working (and use your time to socialize on your last day).

When I was in the Army, there was an NCO who tended to pile-on to short-timers, especially on their very last day. For me, it was no different, he wanted me to sweep the entire building before I left. There was no good reason to do this since it was swept every morning. He was obviously disrespecting me by giving me such a low-level task, and considering I had just returned from a combat zone.

So I blew it off, and went to a local beer keller and enjoyed a drink with my co-workers one last time.

Your mileage may vary.

:)

Your boss is part of the problem

I'm a huge advocate of being nice to people, but even if I act meanly and assume you're only being half-truthful with your handover efforts, you're already above and beyond what I've experienced or what I would expect. You're attendance on Friday at all is considerate. Your willingness to jump through HR's hoops is considerate. Contractual it may be, but if brought to a court (given the circumstances described) no court would judge against you. And I can't imagine a company that would waste its resources seeking a judgment — even if you simply skipped your last day and gave them all the proverbial finger.

And now your boss is expecting a full day's labor. A boss that wouldn't address the bullying and poor work environment. A boss that, based on your description, hasn't supported you yet. This is par for the course — more abuse.

To quote my favorite Batman movie, "criminals thrive on the indulgence of society's understanding." Paraphrased for your situation, "your boss thrives on the indulgence of your loyalty."

As of this moment, you've done your job. Say goodbye to the friends you have and the connections you want to keep, fulfill the letter of your contract, and leave. Do not submit to the abuse of your boss anymore.

Most places I have worked have assumed the last day nothing will be accomplished. If you are leaving on great terms there will be farewell event. If you are leaving on less than great terms there might not be anything.

But the driver of the schedule for the last day is the off-boarding process they need to follow. Between the visits to HR, the turning in of equipment, and the exit interview most employees are gone from the work area by mid-morning. In a few situations where HR/security was at another site, the employees were not seen at all on their last day.

So contact the company to see what needs to be done on the last day and next-to-last day to complete their off-boarding. With the desire to only spend two hours on the last day, you may actually have to complete a few steps on the previous day.

If you are not being paid, you don't work, if you do work, you should be paid.

Go in on your last day, do the handoff and time everything to be finished on your very last minute, do not allow any distractions. If the boss tries to pull you away to other things, tell him that it needs to wait until after the handoff.

If, after your two hours, your boss wants you to work, inform him that he can pay you at your new rate, which happens to be $200 per hour. When he scoffs say

Okay, we are done then. HAPPY NEW YEAR EVERYBODY.

Then leave. You don't reward the person who bullied you out the door, or allowed it to happen.

Normally, I urge more caution, but since you've got a new job, and this company is behaving in an outrageous manner, if word ever gets around you just say on an interview.

Yeah, they wanted me to work almost an entire day for free, so I walked out.

The top answer here is perfect, and the comment under the answer supplies the missing piece of the puzzle here:

"A very brief email confirming that you [will be leaving] promptly ..."

... is the secret sauce in this case.

So here's precisely what to do:

The day before, copy and paste this email:

To Boss, all HR, all management, all subordinates:

"Dear Boss. Thanks again for the great two years. A reminder that Friday 20th is my final day. I am contractually obligated to work 120 minutes on Fridays. I will be there bright and early at 9:00 as usual. So that's 9:00 through 11:00 on Friday. Naturally I understand any leaving paperwork may take another ten or twenty minutes beyond 11:00. Thanks again!

Leave in the two bold phrases!

Enjoy!

Also, reference the contract in question (just add ... "as per our contract dated dd/mm/yy").

Bring some cakes for your colleagues.
You could append such a 'sweet tail' to 120 minutes of the formally due and actual work, using a lunch/tea break perhaps. This will make all of you feel the departure less abrupt, provide a sociable moment, and shake hands. You will have made sure that there are no pending questions on your handover deliverables, thus adding a personal touch to your goodbye. If and only if asked, leave your new contact details for future cross-company collaboration, but don't take up new tasks for the rest of the day. Leave early enough.

Get it writing, and ask for a Purchase Order. If you work over time on your last day you may not be insured, when your two hours is up you are no longer an employee, it is not unheard of for HR to have to escort people off. At 11am your pass and logons should be revoked in any case ?

That day needs to be planned. Separation is a formal process. If they need you, they will pay. $200 per hour is not unreasonable for ad hoc casual specialist work.

Don't be a sucker.

I used to have same attitude to the job. Like working over-hours with no extra payment just because I love my job. I totally get this and it's okay to do so but it has boundaries. If you don't get something valuable (not necessarily money) from that just don't do it. It doesn't make any sense.

You should not be a slave and work 8 hours when you are supposed to work just 2 hours in hell.

Think of the detailed handover as the extra job you did for free (or not, because you did get some experience in writing documentation) you have already done for the boss more than he deserves.

I know it's hard to admit it but the job that is not paid is just not worth it. Not mentioning the risks mentioned in other answers that if you would accidentally get hurt it would be just your problem and the insurance could do nothing about it. If you would end up accidentally even one more hour, name your hour rate and make it count because time is money and you probably should have been somewhere else doing something else at that time.
You have 100% right to do that. Maybe to feel more reasonable go attend some event like theatre or date after the working hours so you will have more motivation to leave and not be held by the company.

If you have solid prove you have to work 2 hours then you are totally safe to leave in 2 hours and there is nothing they can do about it. Feel free to enjoy the last day, it's Friday after all.

Just take a deep breath and tell yourself in the morning - Just 2 hours and everything will be over. Then you can go out and do whatever you love. Staying for more time than you are supposed to would just play very good for the boss to bully you.

Happy new year and good luck in new job :)

All the answers telling you to come at 9am and leave at 11 are fine, but truth be told, there's always the risk for you to be bullied into staying more once you're there, especially since there's an history of bullying in this workplace.

So I would look at it from the other side and send an email the day before your last day which would be like this:

Dear boss,

Since I only have 2 hours left on my contract, I'll be
coming tomorrow from 3pm to 5pm, so that [relevant person] can do the
handover at the end of their workday without affecting their
productivity.

Sincerely,

Your name

Send this email just before leaving, or if you send it earlier, neither read nor acknowledge your boss's response. You're not asking, you're not negotiating, you're just informing.

Sure you might be a bit yelled at when you come at 3pm instead of 9am, but at least you're sure they won't get any free time out of you.

The top answer sums this up perfectly - work your two hours and no more.

I would only add that if you fear some sort of reprisal from your boss, consider that once you've worked those two hours he is no longer your boss - your contract has then ended and you no longer work for him/the company.

I dont think you need to worry about that. The HR may have things for you to follow for your departure.

If your boss ask you to stay, do what @Brian said. Take some time off and rest

Blending some of the answers:-

Work the 2 hours and nothing more or less.

Send an email the day before

To Boss, all HR, all management, all subordinates:

"Dear Boss. Thanks again for the great two years. A reminder that
Friday 20th is my final day. I am contractually obligated to work 120
minutes on Fridays. I will be there bright and early at 9:00 as usual.
So that's 9:00 through 11:00 on Friday, therefore any required tasks /
leaving paperwork must start in time to be completed before 11:00.
I have other commitments after 11:00 so therefore any required work after that
will be charged at a rate of $200 per hour (minimum 2 hours).

Thanks again!"