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The currency-deposit ratio is 0.8 and the currency is $ 800 billion, and the reserve-deposit ratio is 0.2. what is monetary base?A.1000 billionB.1200 billionC.1500 billionD.800 billion

Question

The currency-deposit ratio is 0.8 and the currency is $ 800 billion, and the reserve-deposit ratio is 0.2. what is monetary base?A.1000 billionB.1200 billionC.1500 billionD.800 billion

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Solution

The monetary base is calculated as the sum of currency in circulation and bank reserves.

First, we can find the total deposits using the currency-deposit ratio. The currency-deposit ratio is currency divided by deposits. So, deposits = currency / currency-deposit ratio = 800billion/0.8=800 billion / 0.8 = 1000 billion.

Next, we can find the reserves using the reserve-deposit ratio. The reserve-deposit ratio is reserves divided by deposits. So, reserves = reserve-deposit ratio * deposits = 0.2 * 1000billion=1000 billion = 200 billion.

Finally, we can find the monetary base by adding the currency and reserves. So, monetary base = currency + reserves = 800billion+800 billion + 200 billion = $1000 billion.

So, the answer is A. 1000 billion.

This problem has been solved

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