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Ne4ueva [31]
3 years ago
6

Concept: Change in Checking Deposits Show Work Question Help Suppose you deposit ​$1 comma 8001,800 cash into your checking acco

unt. By how much will checking deposits in the banking system increase as a result when the required reserve ratio is 0.22​0? The change in checking deposits is equal​ to?
Business
1 answer:
aksik [14]3 years ago
3 0

Answer:

$8,181.81

Explanation:

Data provided in the question:

Amount deposited in the checking account = $1,800

Required reserve ratio = 0.220

Now,

Change in the checking deposits is calculated as:

⇒ ( Amount deposited ) × ( Money multiplier )

also,

Money multiplier = \frac{\textup{1}}{\textup{Reserve ratio}}

or

⇒ Money multiplier = \frac{1}{0.220}

or

⇒ Money multiplier = 4.54

Therefore,

Change in money supply = $1,800 × 4.54

or

⇒ Change in money supply = $8,181.81

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Answer:

a.

The money that we will have in account is $51156.41

b.

The money that we will have in account is $318808.31

Explanation:

a.

The deposits made in the account represent an annuity pattern as the deposits made are of a constant amount, are made after equal interval of time and are for a defined time period. Thus, to calculate the value of money that we will have after 19 years, we will use the formula for the future value of annuity.

The formula for the future value of annuity is attached.

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FV = $51156.41178

b.

The same formula for the future value of annuity will be used and we will change n from 19 to 38.

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