The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P $500$ Index. A hedge fund manager belleves that Waterworks Is underpriced, with an alpha of $2\%$ over the coming month.

$\backslash$table$[[$Beta$,$R$-$square,Standard Deviation$],[$of Residuals,,$]]$

Now suppose that the manager misestimates the beta of Waterworks stock, belleving It to be $0\mathrm{.}5$ instead of $1\mathrm{.}05.$ The standard devlation of the monthly market rate of return is $11\%.$ If he holds a $$3,000,000$ portfollo of Waterworks stock. The S&P $500$ currently is at $2,000$ and the contract multiplier is $$50.$

a$.$ What Is the standard deviation of the $($now improperly$)$ hedged portfollo? $($Round your answer to $3$ decimal places.$)$

$\backslash$table$[[$Standard deviation,$13\mathrm{.}400,\%$