Consider an investor who, on January 1, 2022, purchases a TIPS bond with an original principal of $111,000, an 10 percent annual (or 5 percent semiannual) coupon rate, and 15 years to maturity. a. If the semiannual inflation rate during the first six months is 0.5 percent, calculate the principal amount used to determine the first coupon payment and the first coupon payment (paid on June 30, 2022). 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-month period is 1.3 percent. Calculate the inflation-adjusted principal at the end of the second six months (on December 31, 2022) and the coupon payment to the investor for the second six-month period. (For all requirements, round your answers to 2 decimal places. (e.g., 32.16)) a. Principal amount Coupon payment b. Inflation-adjusted principal c. Inflation-adjusted principal at the end of the second six months Coupon payment Amount

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 9P
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Consider an investor who, on January 1, 2022, purchases a TIPS bond with an original principal of $111,000, an 10 percent annual (or 5
percent semiannual) coupon rate, and 15 years to maturity.
a. If the semiannual inflation rate during the first six months is 0.5 percent, calculate the principal amount used to determine the first
coupon payment and the first coupon payment (paid on June 30, 2022).
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-month period is 1.3 percent. Calculate the inflation-adjusted principal at
the end of the second six months (on December 31, 2022) and the coupon payment to the investor for the second six-month period.
(For all requirements, round your answers to 2 decimal places. (e.g., 32.16))
a. Principal amount
Coupon payment
b. Inflation-adjusted principal
c. Inflation-adjusted principal at the end of the second six months
Coupon payment
Amount
Transcribed Image Text:Consider an investor who, on January 1, 2022, purchases a TIPS bond with an original principal of $111,000, an 10 percent annual (or 5 percent semiannual) coupon rate, and 15 years to maturity. a. If the semiannual inflation rate during the first six months is 0.5 percent, calculate the principal amount used to determine the first coupon payment and the first coupon payment (paid on June 30, 2022). 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-month period is 1.3 percent. Calculate the inflation-adjusted principal at the end of the second six months (on December 31, 2022) and the coupon payment to the investor for the second six-month period. (For all requirements, round your answers to 2 decimal places. (e.g., 32.16)) a. Principal amount Coupon payment b. Inflation-adjusted principal c. Inflation-adjusted principal at the end of the second six months Coupon payment Amount
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