Figure 3

The implementation of \(V^{(j)}_{k}\), which updates \(R_{S}\) if the asset price is in the k-th grid of the LV function. Here and hereafter, the wire going over a gate means that the corresponding register is not used in the operation of the gate. A formula at the center of a gate represents the operation the gate performs, and superscript ‘-1’ means the inverse operation. A formula beside a wire and in a gate represents the input or the output value of the gate