The annual coupon rate for a TIPS is 6%. Suppose that an investor purchases $1,000 of par value (initial principal) of this issue today and that the annual inflation rate is 3%. 1. What is the dollar coupon interest that will be paid in cash at the end of the first six months? 2. What is the inflation-adjusted principal at the end of the year? 3. An investor buys a five-year TIPS and there is deflation for the entire five-year holding period. What is the principal that will be paid by the Department of the Treasury at the maturity date?