Shipped item but paypal address is wrong

[bakubaymon]

So, I recently sold an item that was ~180 bucks through PayPal, and I made sure that I bought the shipping slip through PayPal to have the seller protection, the item was officially delivered today, however, the buyer's current address is different than that of the one on their PayPal and I'm not sure what to do. If I give a full refund I just lose the item(shipped to the wrong address I highly doubt I'm getting it back in the mail by whoever now lives there) plus the 180. I did everything right on my part, it was just the buyer who didn't update their PayPal address. Would it be wrong to only give a partial refund to recoup some of my loses?

[DPCreations]

Look at the PayPal transaction details page.

Did you ship to the address that PayPal indicated that you should use for seller protection?  The answer is necessary before stating what you should do.

[bakubaymon]

Yes I shipped to the address that was attached to their PayPal account

[lancelotme]

you dont have to refund  a dime,you shipped to the address they gave Paypal and you get seller protection if they say they did not get it,as tracking shows it has been delivered.

it is their fault they did not update their shipping address.