Perkins State Bank classifies its assets and liabilities and the period $($maturity buckets$)$ within which they are subject to repricing as on August $31,2023$ as

follows: This graph is listed below...

What is the cumulative gap of the bank for interest$-$sensitive assets and interest$-$sensitive liabilities of maturity buckets up to $180$ days as on August $31,$

$2023?$

A bond has a face value of $$1,000$ and five years to maturity. This bond has a coupon rate of $13$ percent and is selling in the market today for $$902.$ Coupon

payments are made annually on this bond.

What is the yield to maturity $($YTM$)$ for this bond?

What is the duration for this bond?

Based on duration, what is the percentage change in bond price if rates increase by $0\mathrm{.}2\%?$