Your friend in mechanical engineering has invented a money machine. The main drawback of the machine is that it is slow. It takes one year to manufacture $$400.$ However, once built, the machine will last forever and will require no maintenance. The machine can be built immediately, but it will cost $$2,825$ to build. Your friend wants to know if he should invest the money to construct it$.$ If the interest rate is $13\mathrm{.}5\%$ per year, what should your friend do$?$ What is your advice if the machine takes one year to build?

The NPV of the machine is $($Round to the nearest cent.$)$