$.$ a$.$ Price a $20-$year, $6\%$ coupon, $$1000$ par value U$.$S$.$ Treasury bond that yields $7\%.$

b$.$ Suppose that the next coupon will be paid $88$ days from today and that there are

$182$ days in the coupon period. What is the price of the bond?

c$.$ Calculate the accrued interest on the bond.

d$.$ What are the dirty and clean prices of the bond?

$2.$ Calculate both the bond equivalent yield and the effective annual yield for a $9-$year

maturity zero$-$coupon bond with a price of $$637\mathrm{.}80.$

$3.$ A $$1,000$ par value, $5\%$ coupon bond sells for $$990$ and has a twenty$-$year maturity.

The bond is callable five years from today for a call price of $$1,080.$ Calculate the

yield to call for the bond. You may use the approximation formula if you don$$t have a financial calculator