Find the convexity of a portfolio consisting of the following instruments, assuming the effective rate of interest is 8%:
(a) A million dollars investment in a 10-year zero coupon bond.
(b) A million dollar investment in a $1000 par value 3-year bond with 10% annual coupons.
(c) Two million dollars invested in preferred stock paying level dividends at the rate of 6% into perpetuity