Suppose in $2021$ you buy two$-$year $$1000$ face$-$value $5\%$ coupon bond for $$950.$ In $2022,$ interest rates decrease to $3\%.$ If you decide to sell your bond in $2022,$ what will be the selling price and one$-$year rate of return for you?

$$1,007$;$11\mathrm{.}2\%$

$$1,019\mathrm{.}4$;$12\mathrm{.}6\%$

$$1,007$;$10\mathrm{.}7\%$

$$1,019\mathrm{.}4$;$11\mathrm{.}9\%$