An asset has had an arithmetic return of $11\mathrm{.}1$ percent and a geometric return of $9\mathrm{.}1$ percent over the last $70$ years. What return would you estimate for this asset over the next $10$ years? $24$ years? $31$ years? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[10$ years,,$\%$

Problem $13-1$ Determining Portfolio Weights $[$LO$1]$

What are the portfolio weights for a portfolio that has $154$ shares of Stock A that sell for $$50$ per share and $120$ shares of Stock B that sell for $$25$ per share? $($Do not round intermediate calculations and round your answers to $4$ decimal places, e$.$g$.,\mathrm{.}1616.)$

Problem $13-7$ Calculating Returns and Standard Deviations $[$LO$1]$

Consider the following information:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,Probability of State,,$],[$of Economy,Stock A$,$Stock B$,],[$Recession$,\mathrm{.}18,\mathrm{.}07,-\mathrm{.}18],[$Normal$,\mathrm{.}55,\mathrm{.}10,\mathrm{.}11],[$Boom$,\mathrm{.}27,\mathrm{.}15,\mathrm{.}28]]$

a$.$ Calculate the expected return for Stocks A and B$.($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the standard deviation for Stocks A and B$.($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Stock A expected return,,$\%$