The reserve requirement is 20%. Leroy receives $1,000 as a graduation present and deposits the money in his checking account. The bank does NOT want to hold excess reserves. What is the maximum possible expansion in the money supply as a result of this initial deposit?

Respuesta :

Answer:

Maximum expansion in money supply    = $5,000

Explanation:

The fractional banking system requires banks to keep a percentage of their total deposit as reserve and lend the rest as loans and advances

The total maximum amount that can be created by the bank is equal TO the amount of deposit multiplied by the creation multiplier.

The multiplier = 1/reserve ratio

Maximum amount = 1,000 × 1/0.2

                           = $5,000

The maximum possible expansion that could be seen in money supply by using initial deposits would be $5,000.

The reserve requirement is given as 20% or 0.20 and $1,000 as initial deposits.

The computation of money supply expansion is determined with the help of a money multiplier, which is given below:

[tex]k=\frac{1}{RR}\\=\frac{1}{0.20} \\=5[/tex]

Here, k is the money multiplier and RR is the reserve ratio.

Hence, the final increase in the money supply would be derived by multiplying the value of multiplier with initial deposits, that is:

[tex]5*1000\\=5000[/tex]

 

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