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Chris Degnen
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With reference to the Wikipedia nominal interest rate calculation

(Presumably) the The USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

confirmed here https://help.coinbase.com/...

As of June 3rd, 2020, the APY for USDC Rewards is 0.15%.

See also Wikipedia APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

With reference to the nominal interest rate calculation

(Presumably) the USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

With reference to the Wikipedia nominal interest rate calculation

The USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

confirmed here https://help.coinbase.com/...

As of June 3rd, 2020, the APY for USDC Rewards is 0.15%.

See also Wikipedia APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

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Chris Degnen
  • 10.1k
  • 1
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  • 36

With reference to the see nominal interest rate calculation

(Presumably) the USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

With reference to the see nominal interest rate calculation

(Presumably) the USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

With reference to the nominal interest rate calculation

(Presumably) the USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

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Chris Degnen
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With reference to the see nominal interest rate calculation

(Presumably) the USDC Rewards Annual Percentage YieldRate is a nominal (APYannual) is end-of-monthrate compounded to give an APY of 0monthly, from which the monthly rate m is obtained by division, i.15%e.

(1m += 0.149896/100/12)^12 - 1 = 0.149999 %000124913

andSo the USDC Rewards rate is a nominal rate 'compounded monthly' from which the monthly rateRate is calculatedobtained by divisionmultiplication (not compoundingsimple interest)

monthly12 ratem = 0.149896/100/12 %

The nominal rate are designatedand the USDC Rewards Annual Percentage Yield is obtained by their compounding period but they are not effective rates.

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also https://en.wikipedia.org/wiki/Effective_interest_rate#CalculationAPR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

(Presumably) the USDC Rewards Annual Percentage Yield (APY) is end-of-month compounded to give an APY of 0.15%

(1 + 0.149896/100/12)^12 - 1 = 0.149999 %

and the USDC Rewards rate is a nominal rate 'compounded monthly' from which the monthly rate is calculated by division (not compounding)

monthly rate = 0.149896/100/12

The nominal rate are designated by their compounding period but they are not effective rates.

See https://en.wikipedia.org/wiki/Effective_interest_rate#Calculation

With reference to the see nominal interest rate calculation

(Presumably) the USDC Rewards Rate is a nominal (annual) rate compounded monthly, from which the monthly rate m is obtained by division, i.e.

m = 0.149896/100/12 = 0.000124913

So the USDC Rewards Rate is obtained by multiplication (simple interest)

12 m = 0.149896 %

and the USDC Rewards Annual Percentage Yield is obtained by compounding

(1 + m)^12 - 1 = 0.00149999 = 0.15 %

See also APR ref. 3

The "Truth in Lending Act" passed in 1968 did not incorporate the mathematically-true annual percentage rate, because the true calculation used compounding (sometime fraction compounding), which was not readily available. The result on expression of the APR on credit cards uses a Nominal (simple interest) method ... which can far from the truth. The Truth in Lending Act should be changed to the mathematically-true (EFFECTIVE) APR from the untrue (NOMINAL) APR, merely by changing the word in act from "multiplied by" to "compounded for".

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Chris Degnen
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