Five years later, you are offered your dream job in Turks and Caicos. You need to sell this house in order to purchase a new one where you are moving. Your roommate would like to remain in the home until they finish their PhD in $6$ years. They are willing to sign a six year lease with the following terms: Rent will be $$2,000/$month for the first three years, and increase to $$2,200/$month for the remaining three years. The average investor$$s holding period on residential rental properties is six years. You have estimated gross sale proceeds will be $$530,688\mathrm{.}37$ at the end of the investor$$s holding period. The appropriate discount rate is $4\mathrm{.}2\%.$