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Problem 4 Intro 1-year T-bills yield 4

Finance Nov 27, 2020

Problem 4 Intro 1-year T-bills yield 4.5% and 2-year Treasury notes yield 8.5%. The real risk-free rate of interest is 3.5% and expected to stay constant, while the maturity risk premium is zero. Part 1 1 | Attempt 1/18 for 10 pts. Using the expectations theory, what is the yield on a 1-year risk-free bond, one year from now? 3+ decimals Submit | Attempt 1/18 for 10 pts. Part 2 What is the expected inflation rate in Year 1? 4+ decimals Submit Attempt 1/18 for 10 pts. Part 3 What is the expected inflation rate in Year 2? 3+ decimals Submit

Expert Solution

Part 1              
one year T bill rate = 4.5%          
Two year T bill rate = 8.5%          
               
1 year yield 1 year from today = (1 + two year)^2) / ((1+ one year rate) - 1  
        = (1 + 8.5%)^2) / ((1+ 4.5%) - 1  
        = (1.177225/1.045) - 1  
        = 12.65%      
               
1 year yield 1 year from today = 12.65%        
               
Part 2              
Nominal Rate for 1 year = 4.5%          
Real Risk free rate = 3.5%          
               
Expected inflation = Nominal rate - real rate = 4.5% - 3.5%    
Expected inflation in year 1= 1%        
               
Part 3              
Nominal Rate for 1 year from 1 year(basically for 2nd year)= 12.65% (derived in part 1)
Real Risk free rate = 3.5%          
               
Expected inflation = Nominal rate - real rate = 12.65% - 3.5%    
Expected inflation in year 2= 9.15%        

 

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