Your portfolio allocates equal funds to DW Company and Woodpecker, Incorporated. DW Company stock has an annual return mean and standard deviation of $12$ percent and $30$ percent, respectively. Woodpecker stock has an annual return mean and standard deviation of $18$ percent and $44$ percent, respectively. The return correlation between DW and Woodpecker is zero. What is the smallest expected loss for your portfolio in the coming month with a probability of $2\mathrm{.}5$ 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

The answer is not $-13\mathrm{.}82\%$