Your portfolio allocates equal amounts to three stocks. All three stocks have the same mean annual return of $14$ percent. Annual return standard deviations for these three stocks are $30$ percent, $40$ percent, and $50$ percent. The return correlations among all three stocks are zero. What is the smallest expected loss for your portfolio in the coming year with a probability of $1$ percent?

Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round the z$-$score value to $3$ decimal places when calculating your answer. Enter your answer as a percent rounded to $2$ decimal places.

Smallest expected loss

$1\%$N