Generic numerical entry instructions: Enter only your final numerical answer, rounded and expressed as requested and the only non$-$number you should ever enter $($if appropriate$)$ is either a period as in $12\mathrm{.}34$ or a minus sign immediately in front of an answer to denote a negative number. The system will insert a comma for you for large numbers. Do not include an equals sign, dollar sign, percent sign, quotes, a space, any text $($e$.$g$.,$ do not type $$The answer is$),$ or punctuation $($except the period or minus sign if appropriate$).$ For example, if asked to round to the nearest $2$ decimal places, $$1,234\mathrm{.}567$ should be entered as $1234\mathrm{.}57,$ not as $$1,234\mathrm{.}57$ with the dollar sign, not as $-1234\mathrm{.}56$ which is rounded incorrectly, and if the answer were actually negative, then use a minus sign instead of entering $(1234\mathrm{.}57)$ using parentheses. If asked for the nearest integer, enter $1235($note the rounding$)$ and nothing else. If a rate of return of $12\mathrm{.}365\%$ is to be expressed in decimal format rounded to four decimal places, then the only as$-$requested answer is $0\mathrm{.}1237,$ not $0\mathrm{.}12365,$ not $12\mathrm{.}37,$ not $12\mathrm{.}365,$ not $12\mathrm{.}3650,$ or any other answer$).$ Please read again how your answer is to be expressed before entering it and enter it as requested.

The firm for which you work expects earnings at the end of the year of $$5,$ and it plans to pay a $$2$ dividend at that time, and retain the rest of the earnings to invest in new projects with an expected return of $14\%$ per year. Assume your firm will maintain the same dividend payout rate, retention rate, and return on new investments in the future and will not change its number of outstanding shares. What growth rate of earnings do you forecast for your firm? Express your rate of return in decimal format and accurate to the nearest $4$ decimal places $($e$.$g$.,-0\mathrm{.}0123$ or $0\mathrm{.}0246).$