Consider the following.

a$.$ Calculate the leverage$-$adjusted duration gap of an $FI$ that has assets of $$1\mathrm{.}8$ million invested in $30-$year, $11$ percent semiannual coupon Treasury bonds selling at par and whose duration has been estimated at $10\mathrm{.}02$ years. It has liabilities of $$980,000$ financed through a two$-$year, $9\mathrm{.}25$ percent semiannual coupon note selling at par with a duration of $1\mathrm{.}8712.$

b$.$ What is the impact on equity values if all interest rates fall $20$ basis points$-$that is$,\frac{R}{1+\frac{R}{2}}=-0\mathrm{.}0020?$

$($For all requirements, do not round intermediate calculations. Round your answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

$\backslash$table$[[,],[$a$.,$Leveraged adjusted duration gap,years$],[$b$.,$Change in net worth using leveraged adjusted duration gap,$]]$