2️⃣ Staking & Yield Engine

Staking Model

Each pool defines lock period (T), base rate (r), and duration bonus (B). Rewards (continuous compounding):

$$\mathrm{Reward} = A \left( e^{(r + B)\,\frac{t}{365}} - 1 \right)$$

where (A) is stake amount and (t) is days.

Example: (A=10{,}000), (r=0.18), (B=0.03), (t=180) ⇒ approximately 1,020 ROCA.

Yield Sources

• Platform / transaction fees

• External liquidity revenues

• Treasury low-risk strategies

• AI-guided rotations favoring higher risk-adjusted returns

Sharpe-like score used for scoring again:

$$SR_i = \frac{\mathbb{E}[R_i] - R_f}{\sigma_i}$$

Epoch Distribution

Total income (I) allocated to pools by weights (W_j):

$$Y_j = \frac{W_j}{\sum_i W_i}\, I$$

Then streamed proportionally to user stakes inside each pool.