A form of delta that quantifies the price change effect in relative terms. Instead of absolute movements (which are typically captured by plain delta), delta cash captures percentage movements. Therefore, it is defined as delta multiplied by the underlying price:

Delta cash = delta × underlying price

δ_c = δ × S_t

To calculate the profit on delta cash for a percentage move p%, delta cash is multiplied by the percentage move:

Profit/ loss on delta cash = δ_c × p%