EE $26-5$ Project $1$ requires an original investment of $$219,120.$ The project will yield cash flows of $$74,000$ per year for $7$ years. Project $2$ has a computed net present value of $$25,700$ over a $4-$year life. Project $1$ could be sold at the end of $4$ years for a price of $$106,000.($a$)$ Determine the net present value of Project $1$ over a $4-$year life, with residual value, assuming a minimum rate of return of $20\%.($b$)$ Which project provides the greatest net present value?