Consider the following income statement for WatchoverU Savings Inc. (in millions): |
Assets | Liabilities | ||||
Floating-rate
mortgages (currently 14% annually) |
$ | 68 | NOW accounts (currently 10% annually) |
$ | 88 |
30-year fixed-rate
loans (currently 11% annually) |
68 | Time deposits (currently 10% annually) |
38 | ||
Equity | 10 | ||||
Total | $ | 136 | $ | 136 | |
a. |
What is WatchoverU’s expected net interest income at year-end? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. (e.g., 32.16)) |
Net interest income | $ million |
b. |
What will be the net interest income at year-end if interest rates rise by 3 percent? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. (e.g., 32.16)) |
Net interest income |
$ million |
a) Interest income = $68 million x 14% + $68 million x 11% = $17 million
Interest expense = $88 million x 10% + $38 million x 10% = $12.6 million
Net interest income = $17 million - $12.6 million = $4.40 million
b) New floating rate mortgage will earn 17% (14 + 3) now and also the NOW accounts will be paid @13% (10 + 3). Whereas fixed rate loans and time deposits interest rates remain fixed @11% and 10% respectively.
Interest income = $68 million x 17% + $68 million x 11% = $19.04 million
Interest expense = $88 million x 13% + $38 million x 10% = $15.24 million
Net interest income = $19.04 million - $15.24 million = $3.80 million
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