Suppose a bank has financed a $$11,000,00010-$year loan with an annual coupon rate of $8\mathrm{.}34\%$ with a $15-$year $$11,000,000$ CD with a semiannual coupon rate of $6\mathrm{.}76\%.$ The yield on the loan is $8\mathrm{.}55\%$ and the yield on the bond is $6\mathrm{.}32\%.$

Calculate the $($i$)$ duration and $($ii$)$ modified duration for the loan.

Calculate the $($i$)$ duration and $($ii$)$ modified duration for the bond

If market interest rates decrease $150$ basis points, estimated the effect on the market value of the bank's equity from this arrangement.