USA Calculating the cost basis on a tax free Zero Coupon Bond


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A tax free zero coupon bond is issued with a yield to maturity of 3.5%. After some time, an investor buys the bond at 50. ( 50 cents on the dollar ). When he buys the bond, the bond has a yield to maturity of 3.4%. After some time, he sells the bond for 80 cents on the dollar. In computing his cost basis in the bond, for tax purposes, should he use the 3.4% interest rate or the 3.5% interest rate? I believe he should use the lower of the two rates. Do I have that right?
 
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