Risky Bank has the following assets and liabilities. The duration of each of these items is

also listed. Average interest rates on assets are $7\%,$ and average interest rates on liabilities

are $3\%.$ Round your answers to $4$ decimals. Calculate:

a$.$ the weighted duration of the bank's assets

b$.$ the weighted duration of the bank's liabilities

c$.$ the modified duration of the bank's assets

d$.$ the modified duration of the bank's liabilities

e$.$ the change in equity for a one percentage point rise in interest rates