Two investment advisers are comparing performance. Adviser A averaged a $20\%$ return with a portfolio beta of $1\mathrm{.}5,$ and adviser B averaged a $15\%$ return with a portfolio beta of $1\mathrm{.}2.$ If the T$-$bill rate was $5\%$ and the market return during the period was $13\%,$ which adviser was the better stock picker?