Delegator

Delegators are responsible for delegating stake to validators. If a delegator has delegated $S_d$ to the above-mentioned validator here, then the daily return for the delegator in this task is:

$$r_v =E \cdot \frac{S^\beta_i}{\sum_{k=1}^{M}{S^\beta_k}} \cdot \frac{S_{vd}^\omega}{S_{tn}^\omega+S_{vd}^\omega}\cdot F \cdot \sigma\cdot \frac{S_d}{S_v+S_d}$$

And its task yield is:

$$y_d = \frac{r_d}{s_d}\cdot D_i \cdot 100 \%$$

Specifically, reward for the delegator depends on:

1. quality of the validators selected, as measured by the score variance of the validator that the delegator delegated to

2. amount of stake delegator delegated

Example

Continuing with our previous example, the delegator staked 100 for the above-mentioned validator. Daily reward will be:

$$\begin{align*}r_v &= 1074 \cdot \frac{1100}{2450} \cdot \frac{600}{700} \cdot 0.5 \cdot 0.9 \cdot \frac{100}{600} \\r_v &\approx 31.03\end{align*}$$

And task yield for a 30-day task is:

$$\begin{align*}y_d &= \frac{31.03}{100} \cdot 30 \\y_d &= 0.3103 \cdot 30 \\y_d &\approx 930.9\%\end{align*}$$