$.$ On $12/1/2016,$ Tyco Intl. $($TYC$)$ issued a bond with a maturity date of

$12/1/2045.$ The bond offered semiannual coupons $($paid on $6/1$ and $12/1$ of

each year$)$ of $$34\mathrm{.}75$ on a face value of $$1000.$ It is currently $12/1/2023$ just

after the coupon is paid and the bond is priced at $$1125\mathrm{.}50.$

a$.$ What is the coupon rate on the bond $($expressed as a percentage with

two decimal places$)?$

b$.$ What is the term of the bond in years on $12/1/2023($expressed as a

whole number$)?$

c$.$ How many coupons remain to be paid on $12/1/2023,$ just after the

$12/1/2023$ coupon is delivered $($i$.$e$.$ do not include the $12/1/2023$

coupon$)($expressed as a whole number$)?$

d$.$ What is the yield to maturity that would be typically quoted for the

bond on $12/1/2023,$ just after the $12/1/2023$ coupon is paid $($expressed

as a percentage with two decimal places$)?$