When Yield to Maturity $($YTM$)$ rise up from $5\%$ to $8\%,$ Fixed Income Bond which is priced at $95$$$,$ will have new price $($use duration$-$convexity approach with duration $D=5$ and convexity $C=23)$:

a$)$ $$109,55$

b$)$ $$108,57$

c$)$ $$82,41$

d$)$ $$81,43$

e$)$ None of the above answers is correct