1. Suppose you plan to buy a 5 year $1000 bond with an annual coupon rate of 7%. If the discount rate is 7%, what is the maximum value that you are willing to pay for this bond? Answer the same question if the discount rate is 6% and 8%. Show all work.
2. An investor buys a $1000, 30 year, with 5% coupon, bond at par. After five years have passed, interest rates are 8.5%. What would be the new price of this bond? Show all work.