On May $15,2022,$ the price of the $6\mathrm{.}75$ s of May $15,2026,$ was $106-{21}^{\frac{1}{1}}.$ Using centrai$]$differencing scheme with $y=10bps$ to calculate DV$01,$ duration and convexity.

a$.(4)$ First, compute yield.

b$.(4)$ Compute DV$01$;

c$.(4)$ compute duration; and

d$.(4)$ compute convexity.

e$.(4)$ For a yield change of $25$ basis points, estimate price using duration and convexity; and compare with actual change.