Suppose a bank's assets have a duration of $5$ years, its

liabilities have a duration of $2$ years, it has $$15$ million of

equity, and it has $$150$ million of total assets. All

interest rates are currently $10\%.$ Based on the duration

estimate, what interest rate change would be required

for the bank's equity to decrease in value by $$1$ million?

a $0\mathrm{.}153\%$ decrease

a $0\mathrm{.}153\%$ increase

a $0\mathrm{.}229\%$ increase

a $0\mathrm{.}229\%$ decrease