Estimate the convexity for each of the following three bonds, all of which trade at a yield to maturity of 8 percent and have face values of $1,000.

A seven-year, zero-coupon bond.

A seven-year, 10 percent annual coupon bond.

A 10-year, 10 percent annual coupon bond that has a duration value of 6.994 years (i.e., approximately seven years).
Rank the bonds in terms of convexity and express the convexity relationship between zero and coupon bonds in terms of maturity and duration equivalencies.