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Homework answers / question archive / A 9%, 16-year annual pay bond has a yield to maturity of 11% and Macaulay duration of 9

A 9%, 16-year annual pay bond has a yield to maturity of 11% and Macaulay duration of 9

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A 9%, 16-year annual pay bond has a yield to maturity of 11% and Macaulay duration of 9.25 years. If the market yield declines by 32 basis points, answer the following question:

 

Will the price of the bond go up or down, given the change in rates?

 

Why is the duration of the bond much lower than the maturity of the bond?

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THE CORRECT ANSWER IS AS FOLLOWS :-

Step-by-step explanation

PART - 1)

 

EFFECT OF FALL IN YIELDS ON BOND PRICE

A FALL IN YIELD OF BOND WILL LEAD TO A INCREASE IN PRICE OF THE BOND SINCE THE EXPECTATION OR REQUIRED RATE FALLS AND HENCE THE CASH FLOWS ARE TO BE DISCOUNTED AT LOWER YTM , LEADING TO HIGHER PRICE .

 

 

PART - 2)

 

WHY IS DURATION OF BOND LOWER THAN MATURITY

THE DURATION OF BOND IS GENERALLY LOWER THAN THE MATURITY SINCE THE CASH-FLOW IN FORM OF INTEREST OR COUPONS ARE RECEIVED BEFORE THE MATURITY OF BOND HENCE THE DURATION OF A COUPON PAYING BOND IS LOWER THAN MATURITY SINCE. CASHFLOWS OCCUR BEFORE THE MATURITY OF BOND ALSO .