The real rate of return on an asset is expected to be $5\mathrm{.}3\%$ over the next year. If the price today is $$44\mathrm{.}49$ and the price in one year is expected to be $$47\mathrm{.}66,$ then what is the expected rate of inflation? $($Answer as a decimal. Round to the nearest ten$-$thousandth$).$