Suppose that a bond is purchased between coupon periods. The days between the settlement date and

the next coupon period are $90.$ There are $182$ days in the coupon period. Suppose that the bond purchased

has a coupon rate of $6\mathrm{.}8\%$ and there are $8$ semiannual coupon payments remaining. The par value of the

bond is $$100.$

a$.$ What is the full price for this bond if a $6\mathrm{.}4\%$ annual discount rate is used?

b$.$ What is the accrued interest for this bond?

c$.$ What is the clean price of the bond?