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A 20 year par value bond with semi-annual coupons at a nominal annual rate of 8% convert- ible semi-annually is purchased at a price of

A 20 year par value bond with semi-annual coupons at a nominal annual rate of 8% convert- ible semi-annually is purchased at a price of 1783.27. The bond can be called at par value X on any coupon date starting at the end of year 12 after the coupon is paid. The price guarantees a nominal annual rate of interest convertible semi-annually of at least 6%. Calculate X.

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