A $$$$30$ comma $000$ ordinary life insurance policy for a $25-$year old female can be obtained for annual premiums of approximately $$$$350.$ This type of policy$($ordinary life$)$ would pay a death benefit of $$$$30$ comma $000$ in exchange for the annual premium paid during the lifetime of the insured person. If the average life expectancy of a $25-$year old female is $65$years$,$ what interest rate establishes equivalence between cash outflows and inflows for this type of insurance$$ policy? Assume all premiums are paid on a$$ beginning$-$of$-$year basis and that the last premium is paid on the $64$ Superscript th birthday.

The interest rate which establishes equivalence between cash outflows and cash inflows is

$$

enter your response here$\%$ per year. $($Round to three decimal$$ places.$)($The correct answer is : $3\mathrm{.}414)$