Samuel just moved to Radford and plans to live here for $5$ years. He just found a "perfect" house to live in with his family. The current owner is willing to sell or rent the house to Samuel. The selling price will be $$275000.$ Samuel has $20\%$ of the house's price for down payment and also $2\%$ of the house's price for mortgage closing cost if he buys the house. Samuel is eligible for a $30-$year $4\%$ fixed $-$rate mortgage loan to finish the purchase. If Samuel owns the house, he needs to pay $$4500$ annually for insurance and property tax, and expects the house price to increase by $8\%$ over the $5$ years. When he sells the house, he needs to pay $6\%$ of the selling price to the realtors. If Samuel rents the house, the annual rent will be $$15000.$ Samuel is confident that he can have an annual after$-$tax investment return of $8\%$ over the next five years. Samuel does not itemize tax deductions.

Assume that all the expenses, payments, and investment payoffs occur at the end of the year. For living in the house for $5$ years, what is the difference in the present value of costs between buying and renting $($please report the absolute value of the difference and keep zero decimal places$)?$