Selling Price

The get_sell_price function at 0x0052E1D0 takes a pointer to a class containing the mapped trade difficulty setting, a ware, town, and sell amount and returns the transaction price.

Formula

The price formula operates on 5 intervals, and the 4 price thresholds specify the bounds.

IntervalBounds
0[0; \(t_0\)]
1[\(t_0\); \(t_1\)]
2[\(t_1\); \(t_2\)]
3[\(t_2\); \(t_3\)]
4[\(t_3\); \(\infty\)]

Within every interval \(i\) the price \(p_i\) is defined as: \[ \begin{aligned} p_{i} &= p_{base} * w_{i} * f_{i} \end{aligned} \]

where \(w_i\) is the amount being sold to \(i\) and \(f\) is defined as: \[ \begin{aligned} f_4 &= 0.5\\ f_{i} &= m_i - v_i \underbrace{\frac{w_{relative\_stock} + w_{relative\_new\_stock}}{2 * \text{interval_width}}}_{\in [0; 1]}\\ f_0 &= d_{trade\_difficulty} - (v_i - d_{trade\_difficulty}) \underbrace{\frac{w_{relative\_stock} + w_{relative\_new\_stock}}{2 * \text{interval_width}}}_{\in [0; 1]} \end{aligned} \]

where \(w_{relative\_stock}\) and \(w_{relative\_new\_stock}\) are the stock's and new stock's offsets in the interval and \(m_i\) and \(v_i\) are defined as:

Bracket\(m_i\)\(v_i\)
0NaN1.4
11.40.4
21.00.3
30.70.2

and \(d_{trade\_difficulty}\) is defined as:

DifficultyValue
0 (low)2.2
1 (normal)2.0
2 (high)1.8

Example

Let's assume we sell pig iron to a town with the following thresholds:

ThresholdValue
t020000
t160000
t270000
t380000

If we sell one bundle (2000), the resulting prices at different stock levels would be: image