with the following term:

Mortgages: $250$ standard $30-$year, fixed$-$rate with a nominal annual rate of $3\mathrm{.}5\%$ each for $$200,000.$

Commercial loan: $5-$year loan, simple interest paid monthly at $1\mathrm{.}0\%$ per month

The bank also purchased $$40$ million in $30-$day T$-$bills. The T$-$bills were trading at $$990\mathrm{.}099$ for a $$1,000$ face value. days, from $\frac{9}{2}$ to $\frac{9}{30}).$ The required yield on a discount basis was $3\mathrm{.}5\%.$ $$100,000$ and the bank was in the $35\%$ tax bracket. The bank had not engaged in any off$-$balance$-$sheet activities.

The following accounting entries record these cash flow transactions.

Accounting entries for mortgages and loan.

Accounting entries for T$-$bills.

Accounting entries for fed funds loan.

Question: What was the bank's ROE for its first month of operation?

$5\mathrm{.}20\%$

$4\mathrm{.}09\%$

$7\mathrm{.}45\%$

$14\mathrm{.}20\%$