On-demand insurance: Trov app for iPhone coverage taps into InsurTech revolution
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The insurance offered by the telcos does cover loss and theft but it's more expensive, at about $15 a month. I'm probably not eligible having bought my phone outright directly from Apple.
A quick Google search reveals a few options: Brightside Cover at $12 a month or Phone Insure for $89 a year (less than $8 a month), for example.