From the January $12,2024$ TIPS listing we used in class, find the bond that matures

April $15,2032.$

a$)$ What was its original coupon payment $($s$.$a$.)?$

b$)$ What would the coupon payment have been as of January $12,2024?$

c$)$ If the CPI on the date the bond was issued was $177\mathrm{.}50,$ what was the reference

CPI value on January $12,2024($the date of the listing$)?$