Janice V$.$ bought a $4\mathrm{.}00\%$ $$100020-$year bond for $$825.$ She received a semiannual dividend for $8$ years, then sold it immediately after the sixteenth dividend for $$900.$ What rate of return did she make per semiannual period, and per year $($nominal$)?($Round the final answers to three decimal places.$)$

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The rate of return that she made per semiannual period is $\%.$

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The rate of return that she made per year is $\%.$