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A 1 2 - year annual coupon bond is currently selling for its par value of $ 1 , 0 0 0 with an annual

A 12-year annual coupon bond is currently selling for its par value of $1,000 with an annual yield of 5%. If the bond is callable at 105% of par, what is the effective duration of the bond, assuming rates change by 1%?
The answer is 6.69 years, please provide the steps and explanation to get there manually.

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