Suppose that the coupon rate for a TIPS is 5%. Suppose further that an investor purchases $100 at par value (price=initial principal=$100) of this issue today and that the 1st to 4th semiannual inflation rates are 1.5%, 1%, 2% and 3% respectively. Assume the bond matures at end of year 2 and the nominal yield is 4%, calculate the price to the nearest cents.