Swapping a gas stove for an electric can easily cost double the price of the stove. Consider running a 30, 40, or possibly even 50 amp circuit and capping or removing the gas line. Neither of these tasks are ones that are ok to be done poorly.
Electricity is far more expensive per BTU than gas pretty much anywhere with municipal gas.
I just moved from a condo that used electricity for cooking to a house that uses natural gas for cooking. Same number of people in the household and same amount of cooking done. How much less am I paying? $1? $10? Is it enough to matter?
We pay ~$0.30 per kWh via electricity.
We can convert a kilowatt hour to BTUs - ~3400 BTU/hr ~= 1 kWh.
Whereas the $2 we pay for a natural gas therm is equivalent to (100000/3400) ~= 29kWh or ~$0.07/kWh.
tldr; leaving out all other conversion inefficiencies, gas is roughly 25% the cost of electricity, for equivalent energy, at least in California (which is a place that would presumably push a bit harder for gas->electricity conversions).
I just looked it up - in my area gas is about 40% the cost of yours and electric is about 30%. So for me, electric is ~3x more expensive rather than 4x. I'd still like to know if that matters :)
My guess is that our gas stove costs rarely exceed $10/month, maybe less than that.
I would recommend checking your gas bills for mid-winter and comparing to mid-summer. And then take into account any other gas users in your house (clothes dryer? hot water heater>).
More likely than not, the vast majority of your gas costs (especially if you live in a place with cold weather!), is similarly going towards heating, not stove..
$0.0566 per kWh
$1.09 per therm ($0.038 per kWh using your conversion)