Suppose a $5-$year, $$1,000$ bond with annual coupons has a price of $$897\mathrm{.}47$ and a yield to maturity of $6\mathrm{.}5\%.$ What is the bond's coupon rate?

The bond's coupon rate is

$\%.($Round to three decimal places.$)$

Assume that the six$-$month Treasury spot rate is $1\mathrm{.}6\%$ APR, and the one$-$year rate is $1\mathrm{.}9\%$ APR, both compounded semiannually. What is the price of a one$-$year $$1,000$ par Treasury bond with $1\mathrm{.}9\%$ coupons?

The price of the Treasury bond is $$.($Round to the nearest cent.$)$

Suppose a seven$-$year, $$1,000$ bond with a coupon rate of $8\mathrm{.}4\%$ and semiannual coupons is trading with a yield to maturity of $6\mathrm{.}49\%.$

a$.$ Is this bond currently trading at a discount, at par, or at a premium? Explain.

b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}17\%($APR with semiannual compounding$),$ what price will the bond trade for?

Suppose that General Motors Acceptance Corporation issued a bond with $10$ years until maturity, a face value of $$1,000,$ and a coupon rate of $7\mathrm{.}7\%($annual payments$).$ The yield to maturity on this bond when it was issued was $6\mathrm{.}4\%.$ What was the price of this bond when it was isclipd?

When it was issued, the price of the bond was $$.($Round to the nearest cent.$)$

Suppose that General Motors Acceptance Corporation issued a bond with $10$ years until maturity, a face value of $$1,000,$ and a coupon rate of $7\mathrm{.}8\%($annual payments$).$ The yield to maturity on this bond when it was issued was $6\mathrm{.}5\%.$ Assuming the yield to maturity remains constant, what is the price of the bond immediately after it

After the first coupon payment, the price of the bond will be $ $($Round to the nearest cent.$)$