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A bank has assets of $100M invested in loans and securities, and it estimates that the mean annual return is 5% (0.05) and standard deviation

A bank has assets of $100M invested in loans and securities, and it estimates that the mean annual return is 5% (0.05) and standard deviation is 10% (0.10). The bank also has liabilities of $95M on which it pays an annual fixed rate of 3%. What is the mean and standard deviation in $ of the bank's $5M of capital that is caused by the returns on assets and liabilities? Hint: C = A - L.

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