# How the APY is Calculated

### Compound Interest Equation

$$
A = P(1 + r)^n
$$

Where:

* A = Total Accrued Amount (principal + interest)
* P = Principal Amount
* r = Rate of Interest for each epoch (3 seconds)
* n = # of epochs

We have:\
r = 0.000000858%\
4 second = 1 epoch\
1 year = 7.905.600 epochs\
\


So:

$$
A = P(1 + 0.000000858)^{7905600}= P(1+8259.92)
$$

So it means,

$$
APY =(A/P -1)*100 = 825992.73 %
$$

Same goes to other time periods.

$$
A_{month}=P(1+0.000000858)^{15*60*24*30}=P(1+1.0986)
$$

$$
A_{week}=P(1+0.000000858)^{15*60*24*7}=P(1+0.1888)
$$

$$
A_{day}=P(1+0.000000858)^{15*60*24}=P(1+0.025)
$$

$$
A_{hour}=P(1+0.000000858)^{15*60}=P(1+0.001)
$$

$$
A_{minute}=P(1+0.000000858)^{15}=P(1+0.0000858)
$$

0.0000858% per block (4 seconds)\
0.00128% per minute \
0.07% per hour \
1.85% per day \
12.978% per week \
51.89% per month \
<mark style="color:green;">622,705.81% per year (APY)</mark>

### <mark style="color:green;">Example:</mark>

**P =&#x20;**<mark style="color:green;">**$1,000**</mark>

**A = (After 1 year) =** <mark style="color:green;">**$ 6,222,705.81**</mark>
