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It is a common practice that interest rates are modeled by a CIR process, a solution of the CIR equation. The usual motivation is that such a process is mean-reverting and takes nonnegative values (for initial nonnegative values). The stochastic Verhulst (SV) equation possesses the same properties. Moreover, one can always choose the parameters of the SV equation so that its solution has the same...
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