Answer
$\$163,414.56$
Work Step by Step
The depriciation can be calculated as:
$FV=PV\times (1-r)^{t}$
Here, the present value is $PV=\$200,000$
The depriciation rate is $r=2\%$
The number of periods is $5$ years $\times 2=10$
Therefore the future value is:
$FV=PV\times (1-r)^{t}=200,000\times (1-0.02)^{10}\approx 163,414.56$