When taking out a second mortgage using collateral, is a security deposit still required?

For example, if someone had property worth $100k and it was fully paid off. Then wanted to purchase a second home for $50k, and was able to take out a second mortgage for $50k using collateral. Would they still need to come up with a security deposit of actual cash?

Read more: When taking out a second mortgage using collateral, is a security deposit still required?