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A bond is currently selling at $1,025.5, has a yield-to-maturity of 6.46%, and has a duration...

A bond is currently selling at $1,025.5, has a yield-to-maturity of 6.46%, and has a duration of 8. If the yield-to-maturity rises to 6.86%, calculate the new price of the bond.

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Answer #1

% change in price = -duration * change in yield

change in yield = 6.86% - 6.46% = 0.4%

% change in price = -7 * 0.004

% change in price = -0.028 or -2.8%

New price = 1,025.5 ( 1 - 2.8 /100)

New price = $996.79

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