Problem: Calculate the 1.5-year and 2-year theoretical spot rates if the 6-month spot rate is 1.75 percent and the 1-year spot rate is 1.95 percent. The 1.5-year note has a coupon of 3 percent and is selling for 101.3518. The 2-year note has a coupon of 4.5 percent and is selling for 104.5764. (Quotes are in decimals, not 32nds.)
Based on the data and the calculated answers above, calculate the six-month forward rate 1.5 years from now (1f3).
Please show all calculations.