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This is an semiannually bond which is mean one half the yield and pmt, also double the period Bond B Bond A Coupon 8% 9%

This is an semiannually bond which is mean one half the yield and pmt, also double the period 



Bond B Bond A
Coupon 8% 9%
Yield to maturity 8% 8%
Maturity (years) 2 5
Par $100.00 $100.00
Price $100.00 $104.055


(a) Compute the Macaulay durations for the two bonds.

(b) Compute the modified duration for the two bonds.


2. 4. Answer the questions below for bonds A and B.



Bond A Bond B
Coupon 8% 9%
Yield to maturity 8% 8%
Maturity (years) 2 5
Par $100.00 $100.00
Price $100.00 $104.055


(a) Calculate the actual price of the bonds for a 100-basis-point increase in interest rates.

(b) Without working through calculations, indicate whether the duration of the two bonds would be higher or lower if the yield to maturity is 10% rather than 8%.



3. Consider the following portfolio:


Bond Market Value Duration (years)
W $13 million 2
X $27 million 7
Y $60 million 8
Z $40 million 14


(a) What is the portfolio's duration? Interpret this number, i.e., what does this number mean?

(b) What is the contribution to portfolio duration for each bond?

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a To compute the Macaulay duration for a bond you need to calculate the weighted average of the present values of the bonds cash flows where the weights are the proportions of the present values in re... blur-text-image

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