Suppose the (vector) Markov process Xt, has the following dynamics, where the error term is jointly normal

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Suppose the (vector) Markov process Xt,
Suppose the (vector) Markov process Xt,has the following dynamics,where the

has the following dynamics,

Suppose the (vector) Markov process Xt,has the following dynamics,where the

where the error term is jointly normal and serially uncorrelated. Suppose rt is a short rate, while Rt is a long rate.
(a) Derive a univariate representation for the short rate rt.
(b) According to this representation, is rt a Markov process?
(c) Under what conditions, if any, would the univariate process rt be Markov?

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