Larry and Laurie have found a home and made a ​$122,900 offer that has been accepted. They make a down payment of 5​%. Their bank charges a loan origination fee of 0.5​% of the loan and points of 2.2​% ​(both are based on the loan​ amount). Other fees include a ​$35 loan application​ fee, a ​$220 appraisal​ fee, and ​$410 for title search and insurance. How much cash will Larry and Laurie need at​ closing? ​(​Hint: the loan origination fee and the points are not part of the loan and will be needed at​ closing.)