The Clearwater National Bank is planning to set up a new branch. This new branch is anticipated to generate 5 percent of the total business of the bank after it is opened. The bank also expects the return for this branch to be 15 percent with a standard deviation of 5 percent. Currently the bank has a 10 percent rate of return with a standard deviation of 5 percent. The correlation between the bank's current return and returns on the new branch is expected to be -0.3. What is this bank's expected risk (measured by the standard deviation) after adding this branch?
