$8.($Time Value of Money$)$ Answer the following questions, please show work for each item.

$($a$)(4$ points$)$ Suppose you borrow $$10,000$ at $7\%$ per annum interest rate, compounded daily, to be paid back one year from today. Calculate how much you would need to pay back.

b$)(4$ points$)$ Your trading desk is purchasing a $3-$month $$100,000$ face value Treasury bill at $2\%$ per annum yield. Calculate the price of this Treasury bill.