I was wondering the same thing: How does a mirror on the wall depreciate? As long as you clean the mirror and it doesn’t take a fall? No clue if people think that a mirror can only be looked at a limited amount of times before it breaks 
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Insurance, Aircover most likely will cover it, as long as you have the documentation (purchase receipt, photo of the mirror not broken before guest checkin, photo after, etc.)
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Your time is costly but you are spending it on this issue.
And you don’t admit any fault in this, re: telling him to hang it back up.
I am looking forward to the update when this is all resolved. The longer it goes the less likely success seems.
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A $45 “goodwill” discount? Out of a $520 bill? 8%? Doesn’t seem like much goodwill to me, considering you were the one who instructed the guest to “hang it back up”.
And how much of your valuable time did you really spend on this? A half hour to phone around to arrange for a handyman to hang a new mirror, and message the guest? Occasionally spending time dealing with damages is part and parcel of hosting.
Yeah, my same thoughts :D.
Maybe that mirror that one day tells you that you’re not the fairest of them all depreciates, but most normal ones remain pretty stable 
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I’ve understood from prior host postings that Air Cover has used depreciated value for furnishings. See policy below. Note that “Cash value” is defined by Airbnb as [emphasis added] "the amount it would cost to repair or replace damaged or destroyed Eligible Property as a result of an Eligible Loss, measured on the date of the incident that caused the Eligible Loss, with material of like kind and quality, with proper deduction for obsolescence and physical depreciation
- For all Eligible Property (other than that described in paragraphs 1, 2, and 3 above), the loss amount will be the lesser of (i) the Actual Cash Value; (ii) the cost to repair such damaged Eligible Property; (iii) the cost to rebuild or replace such Eligible Property on the same site with new materials of like size, kind, and quality; (iv) the cost to rebuild, repair, or replace on the same or another site, but not to exceed the size and operating capacity that existed on the date of the Eligible Loss; or (v) the cost to replace unrepairable electrical or mechanical equipment, including computer equipment and Electronic Media, with equipment that is the most functionally equivalent to that damaged or destroyed, even if such equipment has technological advantages and/or represents an improvement in function and/or forms part of a program of system enhancement.