1. Coupon Bond

Assume that a bond makes 10 equal annual payments of $1,000 starting one year from today. The bond will make an additional payment of $100,000 at the end of the last year, year 10. (This security is sometimes referred to as a coupon bond.) If the discount rate is 3.5$% per annum, what is the current price of the bond? (Hint: Recognize that this bond can be viewed as two cash flow streams: (1) a 10-year annuity with annual payments of $1,000, and (2) a single cash flow of $100,000 arriving 10 years from today. Apply the tools you've learned to value both cash flow streams separately and then add.)

2. Perpetuities

Imagine that the government decided to fund its current deficit of $431 billion dollars by issuing a perpetuity offering a 4% annual return. How much would the government have to pay bondholders each year in perpetuity? Express your answer in billions of dollars.

(Hint: The $431 billion is just the present value of these cash flows at a discount rate of 4%.)