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Suppose that you buy a two-year 7

Finance Mar 08, 2021

Suppose that you buy a two-year 7.7% bond at its face value.

a-1) What will be your total nominal return over the two years if inflation is 2.7% in the first year and 4.7% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

a-2) What will be your total real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

b) Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

Expert Solution

a-1) Computation of the total nominal return over the two years:-

Total nominal return = (1+Coupon rate)^n -1

= (1+7.7%)^2 - 1

= 1.1599 - 1

= 15.99%

 

a-2) Computation of the real return over the two years:-

Real return = ((1+Coupon rate)/(1+1st year Inflation rate)) * ((1+Coupon rate)/(1+2nd year inflation rate)) -1

= ((1+7.7%)/(1+2.7%)) * ((1+7.7%)/(1+4.7%))-1

= (1.0487*1.0287)-1

= 1.0787 - 1

= 7.87%

 

b) The real return will remain at 7.87%

Computation of the total 2-year nominal returns:-

Nominal return over 2 years = ((1+Nominal rate)*(1+1st year Inflation rate)) * ((1+Nominal rate)*(1+2nd year inflation rate)) -1

= ((1+7.7%)*(1+2.7%)) * ((1+7.7%)*(1+4.7%)) -1

= (1.1061*1.1276)-1

= 1.2472-1

= 24.72%

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