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What is the difference between APY and APR?
What is the difference between APY and APR?
Updated over a week ago

Here at Bake, there are two terms used for rewards: APY & APR

​APY (Annual Percentage Yield)

The APY represents the annual compounded annuity, inclusive of compound interest (interest on interests). To achieve the displayed APY rate, earned interests must be reinvested to earn rewards on those as well. For instance, if you utilize our Staking service and opt for Auto-compound, your earned interests will be reinvested back into the staking pool, thereby fulfilling the given APY rate.

APR (Annual Percentage Rate)

The APR indicates Annual return without compound interest. This means that the displayed rate in APR indicates the return you would receive on your base investment in interests. Consequently, reinvesting your earned interest would yield a higher return rate (in APY).

How to Calculate the Annual Percentage Rate?

In order to calculate the total final amount based on APR, follow these steps:

A = [P x (1 + RxT)] where

A = total amount
P = principal (initial investment)
R = interest rate
T = time in years

In the example above, it would be calculated as follows:

A = [P x (1 + RxT)] where

P = 0.5 BTC
R = 7% or 0.07
T = 1 year

A = [0.5 x (1 + 0.07x1)]
A = 0.535

If the investment is retained for a shorter period, the calculation changes. If you hold for three months, you will have held for a quarter of a year (0.25), so you will need to calculate:

A = [P x (1 + RxT)] where

P = 0.5 BTC
R = 7% or 0.07
T = 0.25 years

A = [0.5 x (1 + 0.07x0.25)]
A = 0.50875

That means that you will earn 0.00875 Bitcoin on top of the initial investment if you hold for three months.

How to Calculate the Annual Percentage Yield?

The APY calculation is a bit more complicated than the APR since interest is added to the principal, and then interest is calculated based on the number of periods the amount has been adjusted. The compound interest can be set on a daily, weekly, monthly, annual or perpetual basis.

APY = (1 + r / n)^n - 1 where

r = period rate
n = number of compounding periods

Suppose an investment of 1,000 DFI is made at a compound interest rate of 20% and daily compounding. As a result of the calculation above, an initial investment of 1,000 DFI yields 221 DFI over one year, making a total of 1,221 DFI in the first year and 1,492 the following year. Additionally, higher interest rates and longer holding periods increase earnings.

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