Firm A and Firm B (both are all-equity firms) are planning to merge. What is the standard deviation of returns for the merged firm's assets (i.e., Firm AB's assets) using the following information? (Hint: similar to the example given in class, calculate the solution to this problem as you would calculate the standard deviation of returns for a portfolio of two stocks.)

Market value of Firm A = $650 million

Market value of Firm B = $350 million

Market value of Firm AB = $1,000 million

Standard deviation of returns for Firm As assets = 0.29 (or 29.0%)

Standard deviation of returns for Firm Bs assets = 0.41 (or 41.0%)

Correlation between the returns of the assets of the two firm = 0.49

Enter your answer as a percent to two decimal places (e.g., 0.1250 = 12.50%). If the answer is negative, enter with the minus sign (e.g., enter as -12.50%). Full credit: within 0.02% of the correct answer (e.g., 12.48% - 12.52%). Partial credit: within 0.10% of the correct answer (e.g., 12.40% - 12.60%).