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A bond trader purchased each of the following bonds at a yield to maturity of 10%. Immediately after she purchased the bonds, interest rates fell

A bond trader purchased each of the following bonds at a yield to maturity of 10%. Immediately after she purchased the bonds, interest rates fell to 5%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

What is the percentage change in the price of each bond after the decline in interest rates? Assume annual coupons and annual compounding. Fill in the following table. Do not round intermediate calculations. Round your answers to two decimal places.

 

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Interest Rate Sensitivity
Original yield to maturity at issue 10.00%
Changed yield to maturity immediately after purchase 5.00%
10-year, 10% annual coupon bond 10-year zero coupon bond
Maturity term, N 10 Maturity term, N 10
Coupon rate 10.00% Coupon rate 0.00%
Par value, FV $1,000.00 Par value, FV $1,000.00
PMT PMT $0.00
Original price at issue Original price at issue
Price with changed yield to maturity Price with changed yield to maturity
Percentage change Percentage change
Formulas Formulas
PMT #N/A
Original price at issue #N/A Original price at issue #N/A
Price with changed yield to maturity #N/A Price with changed yield to maturity #N/A
Percentage change #N/A Percentage change #N/A
5-year zero coupon bond 30-year zero coupon bond
Maturity term, N 5 Maturity term, N 30
Coupon rate 0.00% Coupon rate 0.00%
Par value, FV $1,000.00 Par value, FV $1,000.00
PMT $0.00 PMT $0.00
Original price at issue Original price at issue
Price with changed yield to maturity Price with changed yield to maturity
Percentage change Percentage change
Formulas Formulas
Original price at issue #N/A Original price at issue #N/A
Price with changed yield to maturity #N/A Price with changed yield to maturity #N/A
Percentage change #N/A Percentage change #N/A
Perpetuity, $100 annual coupon
Annual coupon $100
Original price at issue
Price with changed yield to maturity
Percentage change
Formulas
Original price at issue #N/A
Price with changed yield to maturity #N/A
Percentage change #N/A
What is the percentage change in the price of each bond after the decline in interest rates? Assume annual coupons and annual compounding. Fill in the following table. Do not round intermediate calculations. Round your answers to two decimal places. Price @ 10% Price @ 5% Percentage Change 10-year, 10% annual coupon 10-year zero 5-year zero 30-year zero $100 perpetuity % % % % %

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