Calculate currency drain ratio, deposits, or currency held by the public from any two values using the CDR = C/D formula in dollars.

Currency Drain Ratio Calculator

Enter any 2 values to calculate the missing variable


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Currency Drain Ratio Formula

The currency drain ratio compares the currency held by the public to total deposits. It shows how much money is being held as cash instead of remaining in bank deposits.

CDR = C / D
  • CDR = currency drain ratio
  • C = currency held by the public
  • D = deposits

If you need to solve for a missing value, the formula can be rearranged:

C = D * CDR
D = C / CDR
  • To calculate currency held by the public: multiply deposits by the currency drain ratio.
  • To calculate deposits: divide currency held by the public by the currency drain ratio.
  • To calculate the currency drain ratio: divide currency held by the public by deposits.

Currency Drain Ratio Interpretation

The currency drain ratio is usually written as a decimal, but it can also be converted to a percentage by multiplying by 100.

Currency Drain Ratio Percentage Form Meaning
0.05 5% The public holds $0.05 in currency for every $1.00 in deposits.
0.10 10% The public holds $0.10 in currency for every $1.00 in deposits.
0.25 25% The public holds $0.25 in currency for every $1.00 in deposits.
0.50 50% The public holds $0.50 in currency for every $1.00 in deposits.

Currency and Deposits Relationship

For a fixed level of deposits, a higher currency drain ratio means more money is held outside the banking system as cash.

Deposits Currency Drain Ratio Currency Held by the Public
$1,000,000 0.05 $50,000
$1,000,000 0.10 $100,000
$1,000,000 0.20 $200,000
$1,000,000 0.30 $300,000

Example

Example 1: Calculate the currency drain ratio

Suppose the public holds $200,000 in currency and deposits are $2,000,000.

CDR = C / D
CDR = 200000 / 2000000 = 0.10

The currency drain ratio is 0.10, or 10%.

Example 2: Calculate currency held by the public

Suppose deposits are $5,000,000 and the currency drain ratio is 0.08.

C = D * CDR
C = 5000000 * 0.08 = 400000

The currency held by the public is $400,000.

FAQ

What does the currency drain ratio measure?

The currency drain ratio measures the amount of currency held by the public compared with the amount held as deposits. A higher ratio means a larger share of money is being held as cash rather than deposited in banks.

How do you convert the currency drain ratio to a percentage?

Multiply the currency drain ratio by 100. For example, a currency drain ratio of 0.12 equals 12% because 0.12 × 100 = 12.

Can the currency drain ratio be greater than 1?

Yes. A currency drain ratio greater than 1 means currency held by the public is greater than deposits. For example, if currency is $1,200,000 and deposits are $1,000,000, the ratio is 1.2.