Tadeo makes car payments of $$3847$ at the end of each six month period for four years, followed by month$-$end payments of $$661$ for a further four years. If interest is calculated at $4\%$ semiannually, what was the value of the car at the time of purchase?

Calculate the following values on the time diagram.

$PV1=$$

The value of the car at the time of purchase is $