Assume that today is Feb $1,2024.$ Below is the information of the bond issued by Company ABC on September $1,2010$:

Maturity date: September $1,2030$

Ask quote: $99\mathrm{.}5625$

Bid quote: $99\mathrm{.}5475$

Coupon rate: $5\%,$ semi$-$annual

What is the price you should pay for one unit $($face value $$100)$ when purchasing this bond on Feb $1,2024.$

a$.$

$99\mathrm{.}5475$

b$.$

$99\mathrm{.}5625$

c$.$

$99\mathrm{.}9792$

d$.$

$$101\mathrm{.}6458$