You are considering two home security companies for your new house. The first company offers free installation and equipment, but will charge you $$589\mathrm{.}66$ per year forever. The second company charges $$804\mathrm{.}29$ for installation, but will charge you $$278\mathrm{.}50$ per year forever. Assume that payments are at the END of the year. Your personal interest rate is $5\mathrm{.}87\%$ per year, and you want to evaluate each proposal.

What is the PV of the paid installation? $($This answer will be a NEGATIVE as you are spending cash for the system without receiving any payoffs$)$