Payoffs of path-dependent options 250
Barrier options
Up and out call
Up and in call
Down and out call
Down and in call
(
)
0
max
with ,
(^1)
,
0
max
],
(^0) [
S
L
E
S
L
S
T
t
T
t
−
≤
∈
Derivative securities: Options - Some exotic options
(
)
0
max
with ,
(^1)
,
0
max
],
(^0) [
S
L
E
S
L
S
T
t
T
t
−
≥
∈
(
)
0
min
with ,
(^1)
,
0
max
],
(^0) [
S
L
E
S
L
S
T
t
T
t
<
−
≥
∈
(
)
0
min
with ,
(^1)
,
0
max
],
(^0) [
S
L
E
S
L
S
T
t
T
t
<
−
≤
∈