The stock of Business Adventures sells for $$30$ a share. Its likely dividend payout and end$-$of$-$yearprice depend on the state of the economy by the end of the year as follows:BoomNormal economyRecessionRequired:Expected returnDividend$ $2\mathrm{.}00$Standard deviation$1\mathrm{.}400\mathrm{.}50$a$.$ Calculate the expected holding$-$period return and standard deviation of the holding$-$period return.All three scenarios are equally likely. $($Do not round intermediate calculations. Round your answersto $2$ decimal places.$)$VAnswer is complete and correct.Expected returnStandard deviation$14\mathrm{.}3322\mathrm{.}60$Stock Priceb. Calculate the expected return and standard deviation of a portfolio invested half in BusinessAdventures and half in Treasury bills. The return on bills is $5\%.($Do not round intermediatecalculations. Round your answers to $2$ decimal places.$)8\mathrm{.}75$$ $4034$Answer is complete but not entirely correct$\mathrm{.}11\mathrm{.}3025\%\%$