Two banks are being examined by regulators to determine the interest rate sensitivity of their balance sheets.

Question:

Two banks are being examined by regulators to determine the interest rate sensitivity of their balance sheets. Bank A has assets composed solely of a 10-year $ 1 million loan with a coupon rate and yield of 12 percent. The loan is financed with a 10-year, $ 1 million CD with a coupon rate and yield of 10 percent. Bank B has assets composed solely of a 7-year, 12 percent zero-coupon bond with a current (market) value of $ 894,006.20 and a maturity (principal) value of $ 1,976,362.88. The bond is financed with a 10-year, 8.275 percent coupon $ 1,000,000 face value CD with a yield to maturity of 10 percent. The loan and the CDs pay interest annually, with principal due at maturity.

a. If market interest rates increase 1 percent (100 basis points), how do the market values of the assets and liabilities of each bank change? That is, what will be the net effect on the market value of the equity for each bank?

b. What accounts for the differences in the changes in the market value of equity between the two banks?

c. Verify your results above by calculating the duration for the assets and liabilities of each bank, and estimate the changes in value for the expected change in interest rates. Summarize your results.

Coupon
A coupon or coupon payment is the annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity. Coupons are usually referred to in terms of the coupon rate (the sum of coupons paid in a... Face Value
Face value is a financial term used to describe the nominal or dollar value of a security, as stated by its issuer. For stocks, the face value is the original cost of the stock, as listed on the certificate. For bonds, it is the amount paid to the... Maturity
Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest...