$70.$ Which bond is more sensi$$ve to an interest rate change of $0\mathrm{.}75\%?$

Bond A: YTM $=4\mathrm{.}00\%,$ Maturity $=8$ years, Coupon $=6\%$ or $$60,$ Par Value $=$ $$1,000$

Bond B: YTM $=3\mathrm{.}50\%,$ Maturity $=5$ years, Coupon $=7\%$ or $$70,$ Par Value $=$ $$1,000$

A$.$ A

B$.$ B

C$.$ Both the same

D$.$ Cannot be determined

Can you show a step by step calculation for each bond where you calculate theh combounded PV and do a calculation like I have under neath for both

year $1=57,6$

year $2=110,9$

$3=160,0$

$4=208,2$

$5=246,6$

$6=284,5$

$7=319,2$

$8=6196,25$

Total $=7580,25$

Duration $=\frac{7580,25}{1134,66}=6,68$ years

Volatility $=\frac{\text{d}\text{u}\text{r}\text{a}\text{t}\text{i}\text{o}\text{n}}{Y+M}$

$=\frac{6,68}{(1+YTM)}$

$=\frac{6,68}{(1,04)}=6,42$