$2)$ Solve the following problems involving Treasury Bills. The "yield" rates for Canadian Treasury Bills are a simple interest rate based on a $365-$day year. The "rates" for a US Treasury Bill are stated as a simple rate of discount based on a $360-$day year.

a$)$ Jeff buys Canadian Treasury Bills maturing for $\backslash (\backslash$$ $250,000\backslash )$ in $105$ days with a yield of $\backslash (1\mathrm{.}25\backslash \%\backslash ).$ How much does Jeff pay for this investment.

b$)$ A US Treasury Bill with a $27-$week maturity sells at a price of $99\mathrm{.}350$ per $\backslash (\backslash$$ $100\backslash )$ maturity. Find the discount rate on this Treasury Bill.

c$)$ A US Treasury Bill with a $17-$week maturity sells at a rate of $\backslash (1\mathrm{.}15\backslash \%\backslash ).$ Find the price per $\backslash (\backslash$$ $100\backslash )$ maturity.

d$)$ A Canadian Treasury Bill matures in $39$ weeks and at a price of $99\mathrm{.}250$ per $\backslash (\backslash$$ $100\backslash )$ maturity. Find the yield rate on this Treasury Bill.