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The lady that's wanting to replace her coverage for an incredible savings of 20 pennies a day is probably a complete moron.
I have people replace policies for $1 or $2 a month less. They aren't morons. I just replaced one this week for the almost the exact premium.
In the op's case $6/mo os over a 10% savings. I can't remember a case where I couldn't replace for 10% savings.