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If the monetary base of a country is $7,000. People hold half of their money in the form of currency, and commercial banks hold a quarter of their deposits in reserve. Context: long run, closed economy(use the econ 211 knowledge) (a)Compute the reserve-deposit ratio, the currency-deposit ratio, the money multiplier, and the money supply.

Question

If the monetary base of a country is $7,000. People hold half of their money in the form of currency, and commercial banks hold a quarter of their deposits in reserve. Context: long run, closed economy(use the econ 211 knowledge)
(a)Compute the reserve-deposit ratio, the currency-deposit ratio, the money multiplier, and the money supply.

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Solution

(a) To compute the reserve-deposit ratio, the currency-deposit ratio, the money multiplier, and the money supply, we need to follow these steps:

  1. Reserve-Deposit Ratio: This is the proportion of total deposits that the bank holds as reserves. In this case, it's given that commercial banks hold a quarter of their deposits in reserve. So, the reserve-deposit ratio is 0.25.

  2. Currency-Deposit Ratio: This is the proportion of the total money supply held by the public in the form of currency. It's given that people hold half of their money in the form of currency. So, the currency-deposit ratio is 0.5.

  3. Money Multiplier: The money multiplier is calculated using the formula: Money Multiplier = 1 + Currency-Deposit Ratio / Reserve-Deposit Ratio + Currency-Deposit Ratio Substituting the values, we get: Money Multiplier = 1 + 0.5 / 0.25 + 0.5 = 2.67

  4. Money Supply: The money supply is calculated by multiplying the monetary base by the money multiplier. The monetary base is given as 7,000.So,themoneysupplyis:MoneySupply=MonetaryBaseMoneyMultiplierMoneySupply=7,000. So, the money supply is: Money Supply = Monetary Base * Money Multiplier Money Supply = 7,000 * 2.67 = $18,690

So, the reserve-deposit ratio is 0.25, the currency-deposit ratio is 0.5, the money multiplier is 2.67, and the money supply is $18,690.

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