Please explain why this is the formula. Problem to this solution: Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 1.80%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 6P
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Please explain why this is the formula.

Problem to this solution: Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 1.80%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. 

Step 1
Given:
10 year Treasury bond yield =5.05%
10 year Treasury inflation = 1.80%
MRP on T bond = 0.90%
Step 2
Calculate the expected inflation rate as follows:
Expected inflation rate=10Year T bill rate-
10 Year Inflation - MRPExpected inflation rate=5.05%-1.80%-0.09%Expected inflation rate=2.35%
Therefore, the expected inflation rate is 2.35%
Transcribed Image Text:Step 1 Given: 10 year Treasury bond yield =5.05% 10 year Treasury inflation = 1.80% MRP on T bond = 0.90% Step 2 Calculate the expected inflation rate as follows: Expected inflation rate=10Year T bill rate- 10 Year Inflation - MRPExpected inflation rate=5.05%-1.80%-0.09%Expected inflation rate=2.35% Therefore, the expected inflation rate is 2.35%
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