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A firm issues $500 million in twenty-year bonds with an annual coupon rate of 5%. The firm makes a final payment of $145 million on

A firm issues $500 million in twenty-year bonds with an annual coupon rate of 5%. The firm makes a final payment of $145 million on the tenth and final coupon date. If the firm uses a sinking fund to repurchase some of the bond issue on each coupon payment date, what percentage of the issue must they repurchase each year?

a 4.1%
b 4%
c 3.7%
d 3.8%
e 3.9%

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