Suppose a portfolio manager purchases $1 million of par value of a Treasury inflation protection security. The real rate (determined at auction) is 3.2% Assume that at the end of the first 6 months the CPI-U is 3.6% (annual rate). Compute the 

(i) inflation adjustment to principal at the end of the first six months, 

(ii) the inflation-adjusted principal at the end of the first six months

 (iii) the coupon payment made to the investor at the end of the first six months.