Do not do any interim rounding, calculate values to at least $6$ decimal places before converting to a percentage, state answers as a percentage to $2$ decimal places, do not include labels $(\%,$ $$).$ For example, $\mathrm{.}06487$ should be input as $6\mathrm{.}49$

Consider the following information about expected returns for two securities$,$ Ravenwood Consulting and Brody Enterprises.

Probability Ravenwood

Brody

Boom

$35\%$

$16\mathrm{.}70\%$

$0\mathrm{.}80\%$

Neutral

$25\%$

$5\mathrm{.}60\%$

$4\mathrm{.}70\%$

Bust

$40\%$

$-1\mathrm{.}70\%$

$12\mathrm{.}70\%$

The expected return for a portfolio invested $55\%$ in Ravenwood and $45\%$ in Brody is:

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