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If you plotted a bond's price against different possible interest rates and the resulting plot turned out to be a downward sloping straight line
If you plotted a bond's price against different possible interest rates and the resulting plot turned out to be a downward sloping straight line (going down from left to right the way a typical demand curve is plotted in economics, not a straight horizontal line), would that bond have non-zero duration? Would it have non-zero convexity? Explain.
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