$1.$ The short$-$term debt consists of $4-$year bonds paying an annual coupon of $4$ percent and selling at par. What is the duration of the short$-$term debt?

$2.$ What is the weighted average duration of the liabilities of the FI$?$

$3.$ What is the leverage adjusted duration gap of the FI$?$

$4.$ What is the leverage adjusted duration gap of the FI$?$

$5.$ What is the effect of a $100$ basis point increase in interest rates on the market value of equity of the FI$?$ Use the duration approximation relationship. Assume r $=4$ percentThe numbers provided are in millions of dollars and reflect market values:

$\backslash$table$[[$Cash$,,20,$Deposits,$\backslash$table$[[$historical avg. maturity $=4],[$years; historical average$],[$duration $=3\mathrm{.}5$ years$]],200],[$T$-$Bills,$30$ days $(4\mathrm{.}5$ percent$),50,\backslash$table$[[$Certificates of$],[$Deposit$]],\backslash$table$[[$avg$.$ maturity $=6$ months;$],[$avg$.$ duration $=6$ months$]],150],[$T$-$Bills,$91$ days $(5\mathrm{.}0$ percent$),60,\backslash$table$[[$Short$-$term$],[$Debt$]],\backslash$table$[[$avg$.$ maturity $=4$ years$]],150],[\backslash$table$[[$Commercial$],[$Loans$]],\backslash$table$[[$avg$.$ maturity $=9\mathrm{.}0],[$years; avg. duration $=],[7\mathrm{.}5$ years$]],300,\backslash$table$[[$Long$-$term$],[$debt$]],\backslash$table$[[$avg$.$ maturity $=15$ years;$],[$average duration $=12$ years$]],200],[$Consumer Loans,$\backslash$table$[[$avg$.$ maturity $=6\mathrm{.}0],[$years; avg. duration $=],[4\mathrm{.}0$ years$]],200,$Equity,,$130],[\backslash$table$[[$Mortgage Loans$],[-$ Fixed rate$]],\backslash$table$[[$avg$.$ maturity $=30],[$years; avg. duration $=],[25$ years$]],150,,,830],[\backslash$table$[[$Mortgage Loans$],[-$ Adjustable$]],\backslash$table$[[$avg$.$ maturity $=30],[$years; interest rate$],[$reset $=6$ months$]],50,,,],[$Total Assets:,,,,$]]$