Hedge Row Bank has the following balance sheet $($in millions$)$:

Assets $$210$ Liabilities $$189$

Equity $21$

Total $$210$ Total $$210$

The duration of the assets is $7$ years and the duration of the liabilities is $5$ years. The bank is expecting interest rates to fall from $10$ percent to $9$ percent over the next year.

a$.$

What is the duration gap for Hedge Row Bank? $($Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

Duration gap

years

b$.$

What is the expected change in net worth for Hedge Row Bank if the forecast is accurate? $($Enter your answer in millions rounded to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$

Expected change in net worth $

million

c$.$

What will be the effect on net worth if interest rates increase $100$ basis points? $($Negative amount should be indicated by a minus sign. Enter your answer in millions rounded to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$

Expected change in net worth $

million

d$.$

If the existing interest rate on the liabilities is $6$ percent and that on the assets is $10$ percent, what will be the effect on net worth of a $1$ percent increase in interest rates? $($Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions rounded to $4$ decimal places. $($e$.$g$.,32\mathrm{.}1616))$

Expected change in net worth $

million