Assume that the interest rate is 3.19% for all maturities (flat term structure). Compute the (Macaulay) duration and the modified duration of the following bonds: (a) A discount bond maturing in 8 years with a face value of $1,000. Duration: Modified Duration: (b) A perpetual bond paying an anual coupon $40.25 forever. Duration: Modified Duration: (c) A 5-year Treasury note with the face value of $100 and the annual coupon at the rate of 5.0%. Duration: Modified Duration