Consider $3$ bonds with the same face value $($$$2,000)$ and maturity $(3$ years$).$ All three bonds offer an annual coupon, but they have different coupon rates; ca $=6\%,$ cb $=8\%$ and cc $=12\%.$ Interest rates are $8\%$ for every maturity. $1.$ Price the three bonds. $2.$ Estimate the yield to maturity of the three