what-if - (binary) option valuations - develop intuition

as T -> inf
C_0 -> S_0
P_0 -> 0.0
binary Call price ->
binary Put price ->
as t -> T
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->

as S -> K
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as S -> 0
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as S -> inf
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->

as R_disc -> inf
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as R_ disc -> 0
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->

as R_grow -> inf
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as R_grow -> 0
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->

as K -> inf
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as K -> 0
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->

as sigma -> inf
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->
as sigma -> 0
C_0 ->
P_0 ->
binary Call price ->
binary Put price ->