Today is 1 January. You buy $100,000 par value of TIPS (Treasury Inflation Protected Securities) that pay a coupon of 3.5% and mature one year from now. The coupons are paid semi-annually at the end of June and December. The par value of the TIPS is adjusted for inflation using the CPI-U. a) Over the first six months, the inflation rate turns out to be 3% pa. What is the coupon payment you will receive at the end of June? b) Over the second six months, the inflation rate drops to -1% pa. What will be your total holding period return when the TIPS mature at the end of December, assuming that you did reinvest the coupons received at the end of June in the same TIPS security?