Respuesta :
Answer:
The correct answer is:
$3,000; $3,000; $3,000; $15,000; $5,454.54
Explanation:
An economy contains 3,000 bills of $1.
If people hold all the money as currency,
the quantity of money in the economy
= 3,000 [tex]\times[/tex] $1
= $3,000
If people hold all money as demand deposits and maintain 100% reserves
The quantity of money is
= 100% of $3,000
= $3,000
If people hold equal amounts of currency and demand deposits, and the banks maintain a reserve ratio of 100%
The quantity of money
= $1,500 + 100% of $1,500
= $3,000
If people hold all money as demand deposits and banks maintain a reserve ratio of 20 percent
The money multiplier
= [tex]\frac{1}{0.2}[/tex]
= 5
The quantity of money
= 5 [tex]\times[/tex] $3,000
= $15,000
If people hold equal amounts of currency and demand deposits and maintain a reserve ratio of 20%,
Currency = Demand deposits
10 [tex]\times[/tex] ($3,000 - C) = D
$30,000 - 10C = D
We can also write this as,
$30,000 - 10D = D
$30,000 = 11D
D = 2,727.27
So the quantity of money will be
= $2,727.27 + $2,727.27
= $5,454.54
Based on the information given the quantity of money is $3,000.
Quantity of money
1. Quantity of money=3000×$1
Quantity of money=3,000
2.Quantity of money
Quantity of money= 100% of $3,000
Quantity of money= $3,000
3. If the bank holds all the money no new money supply will be created D=1,500
C=1,500
D+C= 3,000
4. 20x(3,000-C)=D
all money is held as a deposit (0 currency) C=0
20x(3000-0)=D
60,000=D
5. C=D
20x(3,000-C)=D
20x(3,000-D)=D
60,000-20D=D
60,000=21D
60,000/21=D
2,857=D, Since C=D, C also is 2,857
C+D= $5,714
Inconclusion the quantity of money is $3,000.
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