please help me with me finance homework question. please show me step by step how to get numerical value. I want to know the process of how to getting the value. Question $8(10$ marks$)$

The above table shows the auction results for the $2-$year Government of Canada

benchmark bond. Assume the bond pays coupons semi$-$annually and has an

actual$/365$days day count convention. The Issue date is the same as the Settlement

date for pricing purposes.

a$)(4$ pts$)$ Using the information above, what was the average clean price for the $2-$

year bond? How much accrued interest was there on the bond on December ${13}^{th},$

$2023?$

b$)(3$ points$)$ After the auction, there was $16\mathrm{.}5$ billion of the $2-$year bond outstanding.

Assume the total bids received from the primary dealers was $12\mathrm{.}496$ billion. What

was the size of this $2-$year benchmark bond auction? Briefly explain.

c$)(3$ pts$)$ Briefly explain the auction tail. Should the Bank of Canada want a 'wide' tail or

a 'tight' tail? Briefly explain.