PIMCO gives the following example of an Inflation Linked Bond (ILB), called a Treasury Inflation Protected Security (TIPS) in the US. "How do ILBs work? An ILB’s explicit link to a nationally-recognized inflation measure means that any increase in price levels directly translates into higher principal values. As a hypothetical example, consider a $1,000 20-year U.S. TIPS with a 2.5% coupon (1.25% on semiannual basis), and an inflation rate of 4%. The principal on the TIPS note will adjust upward on a daily basis to account for the 4% inflation rate. At maturity, the principal value will be $2,208 (4% per year, compounded semiannually). Additionally, while the coupon rate remains fixed at 2.5%, the dollar value of each interest payment will rise, as the coupon will be paid on the inflation-adjusted principal value. The first semiannual coupon of 1.25% paid on the inflation-adjusted principal of $1,020 is $12.75, while the final semiannual interest payment will be 1.25% of $2,208, which is $27.60." The expected the semi-annual coupon paid in 10 years is forecast to be: Select one: a. $15.23743 b. $16.025465 c. $18.574342 d. $29.718948 e. $37.006107

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter8: Relationships Among Inflation, Interest Rates, And Exchange Rates
Section: Chapter Questions
Problem 14QA
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PIMCO gives the following example of an Inflation Linked Bond (ILB), called a Treasury Inflation Protected Security (TIPS) in the US.

"How do ILBs work?

An ILB’s explicit link to a nationally-recognized inflation measure means that any increase in price levels directly translates into higher principal values. As a hypothetical example, consider a $1,000 20-year U.S. TIPS with a 2.5% coupon (1.25% on semiannual basis), and an inflation rate of 4%. The principal on the TIPS note will adjust upward on a daily basis to account for the 4% inflation rate. At maturity, the principal value will be $2,208 (4% per year, compounded semiannually). Additionally, while the coupon rate remains fixed at 2.5%, the dollar value of each interest payment will rise, as the coupon will be paid on the inflation-adjusted principal value. The first semiannual coupon of 1.25% paid on the inflation-adjusted principal of $1,020 is $12.75, while the final semiannual interest payment will be 1.25% of $2,208, which is $27.60."

The expected the semi-annual coupon paid in 10 years is forecast to be:

Select one:
a.

$15.23743

b.

$16.025465

c.

$18.574342

d.

$29.718948

e.

$37.006107

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