Consider a European gap option G on a non$-$dividend paying share S with price $S_t$

where the holder of the option $G$ receives a payoff $G_T$ at future time $T$ according to

$DSTKT{S}_{T}KDDCKTC{G}_T=\{[S_T-Bif{S}_{T}K,],[0if{S}_T$

Further consider a European digital call $Don$ same underlying $S$ with maturity $T$

and $K$ such that $at$ time $T,if{S}_{T}K,$ the holder $of$ call $D$ receives a fixed amount $1$

from the writer. Otherwise, the holder $ofD$ receives nothing. Also, there $is$ a conven$-$

tional call $C$ with strike $K$ and maturity $T.$

Draw the respective payoff diagrams $of$

$i)$ longing the conventional call $C.$

$ii)$ longing the gap option $G.$