Question-159.1. Let $r(0,1)$ and $r(0,2)$ be the one- and two-year spot rates; a.k.a., zero rates. Let $r(2.0,3.0)$ be the implied forward rate from year two to year three; i.e., the one-year interest rate two years forward. Assume the following zero rate curve: $r(0, 0.5) = 2.0\%$, $r(0, 1.0) = 2.4\%$, $r(0, 1.5) = 2.8\%$ and $r(0, 2.0) = 3.0\%$. If all rates are per annum expressed with continuous compounding, what is the implied forward rate, $r(1.0, 2.0)$?