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A pure discount bond with maturity N is a bond with no payments at times t=1, . N-1; at time t=N, a pure discount bond

A pure discount bond with maturity N is a bond with no payments at times t=1, . N-1; at time t=N, a pure discount bond has a single terminal payment of both principal and interest. What is the duration of such a bond? (No Excel work is needed)

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