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Consider an investor who, on January 1, 2018, purchases a 10-year TIPS bond with an original principal of $100,000 and a 2.5% annual coupon rate.
a. It the semiannual inflation rate during the first six months is 0.6%, calculate the principal amount used to determine the first coupon payment and the first coupon payment.
b. From your answer to part (a), calculate the inflation-adjusted principal at the beginning of the second six months.
c. Suppose that the semiannual inflation rate for the second six months is 0.50%. Calculate the inflation-adjusted principal at the end of the second six months (on Dec 31, 2018) and the coupon payment to the investor for the second six month period.
Refer to the table below and calculate both the real and nominal rates of return on the TIPS bond in the second and third years.
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