Yep, unemployment is 失業 = used also when one has lost a job, or is unemployed, fired, I think... I think it is a noun used for unemployment...

hmmm...very confusing though.
Especially, as being fired/ lost your job does not necessarily mean unemployed in Japan....
Like: "are you unemployed or have you lost your job?" ???
The difference in meaning is big in the Japanese language though, no?