If a bank with a required reserve ratio of 15 percent receives a deposit of $600, it now has a

Question

BlackTom AI · Accepted Answer

Required reserves equal 15% of the new deposit, so compute required and excess reserves directly.

1) Relevant concepts
- Required reserve ratio (r): the fraction of deposits banks must hold and not loan out.
- Required reserves = r × deposit.
- Excess reserves = total deposit − required reserves.
A deposit increases both the bank’s reserves and its liabilities (deposits); a portion is held as required reserves and the remainder is available as excess reserves.

2) Step-by-step reasoning
- Given deposit = $600 and r = 15% (0.15).
- Calculate required reserves: required reserves = 0.15 × $600.

3) Calculations (intermediate steps shown)
- 0.15 × 600 = (15/100) × 600 = 15 × 6 = 90.
- Required reserves = $90.
- Excess reserves = total deposit − required reserves = $600 − $90 = $510.

4) Why this is correct
The bank must hold $90 of the $600 deposit and may lend or otherwise use the remaining $510; therefore the deposit yields a $90 increase in required reserves and a $510 increase in excess reserves.

5) Why the other options are incorrect
- Option 2 (swap): "$90 increase in excess reserves and a $510 increase in required reserves" reverses the two numbers; it conflicts with the definition because required reserves must be 15% of $600, not 85%.
- Option 3 ("$600 increase in excess reserves and no increase in required reserves"): ignores the reserve requirement entirely; impossible because some portion must be held as required reserves.
- Option 4 ("$600 increase in required reserves and no increase in excess reserves"): implies a 100% reserve ratio, which contradicts the stated 15% ratio.

6) Conclusion
The correct result is a $510 increase in excess reserves and a $90 increase in required reserves, which matches the provided answer.

If a bank with a required reserve ratio of 15 percent receives a deposit of $600, it now has a单项选择题

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