$4.(7)$ Suppose you are considering purchasing a new minivan. You and your spouse have narrowed it down to two choices:

a$.2016$ Dodge Grand Caravan SXT

Initial Price: $$27,300$

Annual O&M: $$4,456$

Expected trade$-$in value after $5$ years: $$9,100$

b$.2016$ Honda Odyssey Touring

Initial Price: $$38,795$

Annual O&M: $$3,050$

Expected trade$-$in value after $5$ years: $$18,544$

If you intend to keep your new vehicle for $5$ years, then trade it in$,$ determine the net present value $($NPV$)$ of each alternative, assuming a discount rate of $4\mathrm{.}0\%.$ Which alternative is the better buy, using the NPV criterion?