Arbor Systems and Gencore stocks both have a volatility of $35\%.$ Compute the volatility of a portfolio with $50\%$ invested in each stock if the correlation between the stocks is $($a$)+1\mathrm{.}00,($b$)0\mathrm{.}50,($c$)0\mathrm{.}00,($d$)-0\mathrm{.}50,$ and $(e)-1\mathrm{.}00.$ In which of the cases is the volatility lower than that of the original stocks?

If the correlation is $+1\mathrm{.}00,$ the volatility of the portfolio is

$\%.($Round to two decimal place.$)$