Answer: BRIDGE LOAN
Explanation: As the name says the bridge loan are the type of loans that bridge the difference between the new home of the buyer and the new mortgage in case the buyers existing home hasn't been sold yet. It is a type of short term loan, the usual time period for such kinds of loan is 2 weeks to 3 years.
In this case Karen and Jay have purchased the new house but sale of their old house is still pending thus from the above explanation we can conclude that bridge loan would be appropriate for them.