Banque du Langenberg holds $575 million interest producing assets earning a net interest margin (NIM) of 2.50%. The iniital net interest income is thus $14.375 million. The bank's President pursues a strategy of holding longer dated, higher risk assets while also increasing leverage and as a result the net interest margin expands by 25 basis points (or 10% on 2.50%) and the |total asset base increases by 20%. What is the new net interest income? Original scenario Net interest margin Total assets (millions) 1.00% $2 Rise in nim 3.0% Rise in total assets 3.0% Original scenario New Scenario Net interest margin 1.00% 1.03% Total assets $2 $2 Rise in nim 3.0% Rise in total assets 3.0% Net interest income $0.020 $0.021

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Banque du Langenberg holds $575 million interest producing assets earning a net interest margin (NIM)
of 2.50%. The iniital net interest income is thus $14.375 million.
The bank's President pursues a strategy of holding longer dated, higher risk assets while also increasing
leverage and as a result the net interest margin expands by 25 basis points (or 10% on 2.50%) and the
total asset base increases by 20%. What is the new net interest income?
Original scenario
Net interest margin
Total assets (millions)
1.00%
$2
Rise in nim
3.0%
Rise in total assets
3.0%
Original
New
scenario
Scenario
Net interest margin
1.00%
1.03%
Total assets
$2
$2
Rise in nim
3.0%
Rise in total assets
3.0%
Net interest income
$0.020
$0.021
Transcribed Image Text:Banque du Langenberg holds $575 million interest producing assets earning a net interest margin (NIM) of 2.50%. The iniital net interest income is thus $14.375 million. The bank's President pursues a strategy of holding longer dated, higher risk assets while also increasing leverage and as a result the net interest margin expands by 25 basis points (or 10% on 2.50%) and the total asset base increases by 20%. What is the new net interest income? Original scenario Net interest margin Total assets (millions) 1.00% $2 Rise in nim 3.0% Rise in total assets 3.0% Original New scenario Scenario Net interest margin 1.00% 1.03% Total assets $2 $2 Rise in nim 3.0% Rise in total assets 3.0% Net interest income $0.020 $0.021
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