In the United Kingdom, the currency drain ratio is 38 percent of deposits and the reserve ratio is 2 percent of deposits. In Australia, the quantity of money is \(\$ 150\) billion, the currency drain ratio is 33 percent of deposits, and the reserve ratio is 8 percent of deposits. a. Calculate the U.K. money multiplier. b. Calculate the monetary base in Australia.

Short Answer

Expert verified
a. The U.K. money multiplier is 2.5. b. The monetary base in Australia is approximately 61.52 billion.

Step by step solution

01

Understanding the Money Multiplier Formula

The money multiplier (\text{MM}) is calculated with the formula: \[ \text{MM} = \frac{1}{\text{Reserve Ratio} + \text{Currency Drain Ratio}} \] The reserve ratio is given as 2% (0.02) and the currency drain ratio is 38% (0.38).
02

Calculating the U.K. Money Multiplier

Plug the values into the formula: \[ \text{MM} = \frac{1}{0.02 + 0.38} = \frac{1}{0.40} = 2.5 \] So, the UK money multiplier is 2.5.
03

Understanding the Monetary Base in Australia

To find the monetary base (\text{MB}), use the relationship between the money multiplier (\text{MM}), the quantity of money (\text{Q}), and the monetary base: \[ \text{Q} = \text{MM} \times \text{MB} \] First, we need to calculate the money multiplier for Australia.
04

Calculate the Australian Money Multiplier

For Australia, the reserve ratio is 8% (0.08) and the currency drain ratio is 33% (0.33). Thus, the money multiplier is: \[ \text{MM} = \frac{1}{0.08 + 0.33} = \frac{1}{0.41} \ \text{MM} \thickapprox 2.439 \]
05

Solving for the Monetary Base in Australia

Rearrange the money multiplier formula to solve for the monetary base: \[ \text{MB} = \frac{\text{Q}}{\text{MM}} \] Given that the quantity of money (\text{Q}) is 150 billion, substitute the values in: \[ \text{MB} = \frac{150}{2.439} \thickapprox 61.52 \text{ billion} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Monetary Base
The monetary base, also known as the money base or base money, is the total amount of a country's currency in circulation. It includes both the currency held by the public and the reserve balances held by commercial banks with the central bank. Essentially, it sets the foundation upon which the total money supply in an economy is built.
Understanding the monetary base is crucial because it's the starting point for calculating the money supply, influenced directly by central bank policies. Whenever you hear about central banks 'printing money,' they are essentially increasing the monetary base. The monetary base consists of:
  • Currency in circulation: The physical money held by the public.
  • Bank reserves: Deposits that commercial banks hold in accounts with the central bank.
The monetary base is an essential tool for assessing the effectiveness of monetary policy actions such as open market operations or changes in the reserve requirements. For instance, when we calculated the Australian monetary base, we found it to be approximately 61.52 billion dollars based on their total money supply and money multiplier.
Reserve Ratio
The reserve ratio is a critical component of banking and monetary policy. It refers to the fraction of customer deposits that each commercial bank must hold as reserves rather than lending out. This reserve can be held as cash in the bank's vault or as deposits with the central bank. The reserve ratio is expressed as a percentage.
The reserve ratio helps ensure stability and solvency in the banking system. Higher reserve ratios can restrict the availability of money for lending, thus reducing the money supply. Lower reserve ratios can have the opposite effect, increasing the money supply.
To illustrate, in the UK's case, the reserve ratio is 2%. This means that for every 100 pounds deposited, the bank keeps 2 pounds as reserves. In Australia, the reserve ratio is higher at 8%, meaning 8 dollars are kept as reserves for every 100 dollars deposited. This direct influence on the money multiplier makes understanding the reserve ratio crucial for studying changes in economic policies and their potential impacts.
Currency Drain Ratio
The currency drain ratio is another vital concept in understanding the money supply process. It represents the proportion of total deposits that people hold as cash, rather than depositing back into the banking system. Essentially, it shows the public's preference for holding physical currency versus keeping it in their bank accounts.
The currency drain ratio plays a significant role in determining the money multiplier effect. A higher currency drain ratio reduces the money multiplier because more cash is held outside the banking system, thus lessening the potential amount of deposits that can be re-lent by banks.
For example, in the United Kingdom, the currency drain ratio stands at 38%, indicating a relatively high preference for holding cash over deposits. In Australia, the ratio is slightly lower at 33%. These ratios are critical when calculating the money multiplier and, subsequently, understanding the broader impact on the money supply. They reflect behavioral tendencies and can provide insights into economic confidence and liquidity preferences among the public.

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Most popular questions from this chapter

Money in the United States today includes which of the following items? Cash in Citibank's cash machines; U.S. dollar bills in your wallet; your Visa card; your loan to pay for school fees.

In the economy of Nocoin, bank deposits are \(\$ 300\) billion. Bank reserves are \(\$ 15\) billion, of which two thirds are deposits with the central bank. Households and firms hold \(\$ 30\) billion in bank notes. There are no coins. Calculate a. The monetary base and quantity of money. b. The banks' desired reserve ratio and the currency drain ratio (as percentages).

In year \(1,\) the economy is at full employment and real GDP is \(\$ 400\) million, the GDP deflator is 200 (the price level is 2 ), and the velocity of circulation is \(20 .\) In year \(2,\) the quantity of money increases by 20 percent. If the quantity theory of money holds, calculate the quantity of money, the GDP deflator, real GDP, and the velocity of circulation in year 2.

Explain the change in the nominal interest rate in the short run if a. Real GDP increases. b. The money supply increases. c. The price level rises.

Banks in New Transylvania have a desired reserve ratio of 10 percent of deposits and no excess reserves. The currency drain ratio is 50 percent of deposits. Now suppose that the central bank increases the monetary base by \(\$ 1,200\) billion. a. How much do the banks lend in the first round of the money creation process? b. How much of the initial amount lent flows back to the banking system as new deposits? c. How much of the initial amount lent does not return to the banks but is held as currency? d. Why does a second round of lending occur?

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