It's a pretty darn good idea. What if the borrower dies and you don't have the policy to contact the actual company (as opposed to the agent)? What if the company gets bought out and you need the policy in order to get a reissue?
Belt & suspenders here. The policy is a whole lot safer in your collateral vault than in the borrower's file cabinet, shoe box, paper bag, junk drawer...
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Hello, triple a? I got locked out of my mind...