Permit a/c can be used for training, provided they're wholly owned by the student (Seems a strange rule to me, what difference would it have made to training whether the student owns 100%, 50% or whatever
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Another restriction not yet mentioned is that Permit A/C cannot overfly built-up areas (though I understand that this is under review)
The insurance for my Pioneer300 is slightly less than a fellow pilot with similar hours pays for his PA38, which is surprising given that my a/c has retractible gear and is insured for a higher hull value