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Bank's Approximate Profit Formula from Interest Rate Spread
A bank's profit can be approximated by leveraging the fact that its total lending is nearly equal to its total deposits. The formula calculates profit by multiplying the interest rate spread—the difference between the interest rate charged on loans and the rate paid on deposits—by the total volume of lending. The formula is:
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Bank Profit Calculation
A commercial bank holds $10 million in customer deposits, on which it pays an average annual interest rate of 2%. The bank has loaned out $9 million of these funds to borrowers at an average annual interest rate of 7%. Based solely on these activities, what is the bank's annual profit?
Strategies for Increasing Bank Profitability
A bank's profit will increase if the interest rate it pays to its depositors rises, assuming the interest rate it earns on its loans remains unchanged.
A bank's profit is calculated as the revenue from its lending minus its payments to depositors. Match each scenario to its most likely immediate impact on the bank's profit, assuming all other factors remain constant.
Analyzing a Bank's Financial Statement
In a simplified model where a bank's primary activities are accepting deposits and making loans, its profit is calculated by subtracting the payments made to depositors from the ______.
Diagnosing a Decline in Bank Profit
A commercial bank is trying to increase its profitability. It decides to lower the interest rate it pays on customer deposits. At the same time, due to changing market conditions, the total value of loans the bank has issued decreases. What is the most likely overall effect on the bank's profit from these two changes combined?
Evaluating Bank Profit Strategies
Bank's Approximate Profit Formula from Interest Rate Spread
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Conditions for the Bank's Approximate Profit Formula to be Exact
Calculating Bank Profit Using the Interest Rate Spread Formula
A commercial bank has issued a total of $500 million in loans at an average interest rate of 7%. It holds $490 million in customer deposits, on which it pays an average interest rate of 2%. Using the standard approximation method based on the interest rate spread and total lending, what is the bank's estimated profit for the year from these activities?
Evaluating a Bank's Profit Approximation
Rationale for the Bank Profit Approximation
To approximate a bank's profit, the interest rate spread (the difference between the rate on loans and the rate on deposits) is multiplied by the total volume of deposits the bank holds.