I'm Doug, and I'm sorry to hear of the confusion. My goal is to provide you with excellent service tonight.
Actually, there must be some misunderstanding, because social security never pays more than 6 months in arrears for retirement benefits. Because your husband is 71, and as social security automatically reaches its highest value at age 70, your husband is entitled to a retroactive benefit for the past 6 months. If he is supposed to get about $1300 to $1400 per month as his retirement benefit, then a lump sum 6 month benefit would be about $8,000 and the monthly benefit for month 7----because he signed up---would make a payment of about $9,000. But that is not the only payment that he will receive.
Every month after he receives the first $9,000 deposit, he will receive his regular monthly payment from social security of the same $1,300 per month they told him about, and he will receive that each month for the rest of his life. The only reason he is getting the $9,000 payment now is because he waited until after he was 80 & 1/2 to apply for his benefit.
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I wish you and yours the best in 2016,