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Regulators calculate that DLC bank will report a profit that is normally distributed with a mean of $0.6 million and a standard deviation of $2

Regulators calculate that DLC bank will report a profit that is normally distributed with a mean of $0.6 million and a standard deviation of $2 million. How much equity capital in addition to that in Table 2.2 should regulators require for there to be a 99.99% chance of the capital not being wiped out by losses?

Assets
Liabilities and Net Worth
Cash 5 Deposits 90
Marketable Securities 10 Subordinated Long-term Debt 5
Loans 80 Equity Capital 5
Fixed Assets 5
Total 100 Total 100

Table 2.2 Summary Balance Sheet for DLC at End of 2015 ($ millions)

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