The price of the bond using the current spot rates is

$$P = \frac{30}{1.01^1} + \frac{30}{1.0125^2} + \frac{30}{1.015^3} + \frac{1030}{1.0175^4} = 1048.60$$

If all spot rates increase by 5 basis points, the bond price becomes

$$P^+ = \frac{30}{1.01025^1} + \frac{30}{1.01275^2} + \frac{30}{1.01525^3} + \frac{1030}{1.01775^4} = 1047.62$$

This implies that the price of the bond has decreased by 0.98 (= 1048.60 − 1047.62)
If all spot rates decrease by 5 basis points, the bond price becomes

$$P^- = \frac{30}{1.00975^1} + \frac{30}{1.01225^2} + \frac{30}{1.01475^3} + \frac{1030}{1.01725^4} = 1049.59$$

This implies that the price of the bond has increased by 0.99 (= 1049.59 − 1048.60)
Now, change in price due to one basis point is $\frac{0.98}{5}$ and $\frac{0.99}{5}$.
DV01 is given by the average of the two.
Therefore,

$$\text{DV01} = \frac{\frac{0.98}{5} + \frac{0.99}{5}}{2} = 0.197$$