A TIPS bond will mature in two years and has a $6\%$ coupon rate. It pays semiannually and has a yield of $6\%.$ The inflation rate is expected to be $1\mathrm{.}5\%$ during the first six months, $1\mathrm{.}2\%$ in the next $6$ months, $1\%$ in the next $6$ months, and $0\mathrm{.}8\%$ in the last $6$ months. Calculate the bond price.