Sumitomo Bank's risk manager has estimated that the DEARs of two of its major assets in its trading portfolio, foreign exchange and bonds, are $-$$$150,000$ and $-$$$250,000,$ respectively.

What is the total DEAR of Sumitomo's trading portfolio if the correlation among assets is assumed to be $-1\mathrm{.}0?$

$($Hint: Please review the formula in Example $15-4.$ For a two$-$security porfolio, the formula contains two squared terms and one interaction term only. Don't forget to take the square root to arrive a correct value.$)$

A$.$ $$380,789.$

B$.$ $$100,000.$

C$.$ $$291,548.$

D$.$ $$350,000.$