# Mathematical model

The annual yield (Y) for a locked amount A is determined using a tiered reward model:

Y=A×r×TY=A×r×T

**Where:**

A = Locked asset amount

r = Annual interest rate (varies per lock period)

T = Lock duration in years

**Interest Rate Table:**

**Lock Period Interest Rate (r)**

30 days 5%

90 days 7%

180 days 10%

365 days 15%

Example: If a user locks 1000 USDT for 180 days, the yield is:

Y=1000×0.10×0.5=50USDTY=1000×0.10×0.5=50USDT
