A 2-year $1000 face value bond pays an annual coupon of 6% and has a ytm of 4%. What is this bond's price? What is this bond's duration? Answer this question the long way, e.g., calculate the bond price as the present value of future cash flows. Use the related expression for duration from the lectures. Do not use the complex formulas for bond price and duration. You must show your work the numbers in the formulas to receive full credit. The answers themselves are only worth 3 points total.