Your request is conflicting.

1 rule is...
If(A2>B2,"Value Decrease",
another rule is
IF(A2<B2,"Value Increase",
Yet you also want...
IF(AND(A2=0,B2>0.01),"New",...which would then invoke the IF(A2<B2,"Value Increase", rule
and
IF(AND(A2>0.01,B2<0),"No Longer Applicable" which would trigger the If(A2>B2,"Value Decrease", rule.

I think you need to take another look at what you are trying to do here