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Let Z(t, T) denote the price at time t T of a ZCB with maturity T. Suppose the annually compounded rate during [t, T)

Let Z(t, T) denote the price at time t ≤ T of a ZCB with maturity T. Suppose the annually compounded rate during [t, T) is a constant rA. Show that

Z(t, T) = (1+ra)-(T-t). (1)

Using no-arbitrage argument.

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