It depends on your objectives. Parents usually buy life insurance on their children for a couple of reasons. At a minimum, you probably want at least enough to cover the cost of final arrangements (funeral, cremation, etc). Tha smallest stand-alone policies are usually around $5,000. On the other end of the scale, you may want to buy more for your child in order to lock in coverage for them as they go into adulthood, and you might look at $100,000 or more.
Insuring children can be a smart financial decision, but I would never insure my children until I had myself insured for as much as it would take to replace the amount of my income I want my family to receive should I die.
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Insuring children can be a smart financial decision, but I would never insure my children until I had myself insured for as much as it would take to replace the amount of my income I want my family to receive should I die.