Finite expectation of bank account with CIR interest rate model

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The CIR interest rate model is $$dr_t=(\theta-ar_t)\,dt+\sigma\sqrt{r_t}\,dW_t\;.$$ The money account with this interest rate is $$e^{\int_0^tr_s\,ds}\;.$$ It is known that $$\mathbb{E}[e^{\int_0^tr_s\,ds}]$$ is fiinite. How to show this is finite. That is, the expected value of account with CIR interest rate is finite.