Rocky and Adrien are selling their house. Offer #$1$ puts $$8000$ down and pays the lump sum $$142018$ in $4$ months. Offer #$2$ puts $$8000$ down and pays the lump sum $$151763$ in $12$ months. At what rate of interest would Adrien and Rocky be indifferent to the two offers $($use today as a focal date$)?$