1. Consider a Treasury bond with maturity 30 years paying semiannually a coupon rate of 5% per year on a principal of $1,000.

   1. If the current YTM of the bond is 6%, compute the price of the security.

   2. Suppose that 6 months have passed, and the YTM of the bond is now 5.8%. Compute the new

      price of the security.

   3. If you buy the security at the price computed in a), hold it for 6 months and sell it at the price

      computed in b), what is your annualized HPR?

please show work