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That’s a risk I’d be reluctant to take even with the best of intentions.
To address your banking concern: as long as your bank is using https [Hyper Text Transfer Protocol – Secure]Https is an acronym for Hyper Text Transfer Protocol – Secure.
Thus, a “wireless router” is nothing more than a router that happens to have a wireless access point built in.
It’s as if they were connected directly to your network – because they are.
Https an implementation of the httpdocument transfer protocol that adds encryption.
In addition to all the mechanics of requesting web pages and files, and then returning them to a web browser, https also secures the transfer using certificate-based encryption.
It’s almost the same thing as having given them a wired connection to your router.
The encryption prevent to keep their own system free of malicious software.