The encryption used by most on-line banking sites assumes that you're communicating over an insecure network.
This means that the security measures assume that the communication is picked up by others. (If you use a fixed internet connection your ISP, it's employees, or other computers on the route may also eavesdrop on the connection).
The encryption scheme used (SSL) should ensure that listening in will not reveal any of the data that is transferred.
In theory you should be just as safe using a fixed internet connection as you were using a WiFi connection.
But (there is always a 'but', isn't there?) security schemes may be broken. If that happens, no internet connection is safe, but a WiFi connection is even less safe because it's easier to listen into anonymously*.
Also, using a WiFi connection allows other computers to connect to yours. That connection would normally be refused, but that is also a measure that might be broken. Potentially your PC could be hacked into allowing others to copy your screen without needing to listen in on the connection**
Hope this makes it a little clearer....
* This is not likely, but a decent post about security should mention this
** This is not very likely, but possible. This is akin to someone looking over your shoulder. You might not notice someone across the street using binoculars to read your screen. (Not likely, but not impossible either).
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"Do not kill. Do not rape. Do not steal. These are principles which every man of every faith can embrace. "
- Murphy MacManus (Boondock Saints)
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