Suppose that on January $1,2024,$ the price of a one$-$year Treasury bill$-$with a face value of $$1,000-$ is $$931\mathrm{.}87.$ Investors expect that the inflation rate will be $5\%$ during $2024,$ but at the end of the year, the inflation rate turns out to have been $2\%.$

The nominal interest rate on the bill $($measured as the yield to maturity$)1\%.($Round your response to two decimal places.$)$