... Can't change negotiations 3 months later it would be one lawfull?
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Depends on the terms and conditions. Additional warranties are usually written very much in favour of the supplier and may include such lovlies as "return of all goods and packaging", "may be cancelled without reason or notice", "limited to the value of the product and excluding additional costs...." and so on. The real shysters will contract you to 1 months additional warranty at £360, to be followed by 35 months free, with a loan for the full amount to be paid in 36 installments. You think it's a tenner a month, but they can keep collecting their standing order even after they cancel or you change product (phones typically).
Only the legally required warranties will be in a fixed format.
I would read the small print so you know what they may fire at you but basically carry on along the contract route you are are looking at now. Stress their own failures in offering a warranty that did not apply, they are afterall the experts and may be guilty of mis-selling a financial product (an extended warranty is insurance, hence the shyster scratting, ducking and diving). Additionally keep on pointing out that the selection of their bike was based on their offer of the warranty. If it goes to lawyers their clauses are probably safe, but you could also ask for the name of their legal representatives and any consumer guarantee organisations they are involved with as a frightener.
This warranty is not worth the paper it's written on, so I'd almost suggest asking for your money back in exchange for cancelling. Imagine how they'll squirm if you claim.
Andy