
Explanation:
Net interest income = Total interest income − Total interest cost
= [Average interest yield on rate-sensitive assets × Volume of rate-sensitive assets
$542 + 0.10 × [$1,212 − $542] − 0.04 × $156 − 0.06 × [$1,212 − $156]$24.5 millionNote.
The balance sheet is based on the fundamental equation:
Assets = Liabilities + Equity
In this case, we've been told there's no equity, which means that:
Assets = Liabilities
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Q.4237 Suppose that a hypothetical bank has an average yield on rate-sensitive and fixed assets of 5% and 10%, respectively. Additionally, the bank has rate-sensitive and non-rate-sensitive liabilities cost of 4% and 6%, respectively. During the coming week, the bank holds $542 million in rate-sensitive assets and $156 million in rate-sensitive liabilities. Assume that the asset total is $1,212. Further, suppose that these annualized interest rates remain steady. Assuming that equity is zero, calculate the firm’s net interest income on an annualized basis.
A
20.0 million
B
23.4 million
C
24.5 million
D
30.0 million
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