When the forward rate volatility, s(t, T) in HJM is e-a(T-t) the Hull-White model results. Verify that

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"When the forward rate volatility, s(t, T) in HJM is σe-a(T-t) the Hull-White model results." Verify that this is true by showing that HJM gives a process for bond prices that is consistent with the Hull-White model in Chapter 32.

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