Put-call parity 180
-C
t
+ P
t
+ S
t
= PV
(E) ort
C
t
= P
t
+ S
t
-PV
(E) ort
P
t
= C
t
-S
t
+ PV
(E)t
Note:P
T
-C
T
= PV
T
(E) - S
T
P
T
-C
T
= E - S
T
= F
t0,T
-S
T
= CF
T
of a FS and therefore by the LAW OF ONE PRICE:
P
t
-C
t
= PV
t
of a FS,
which is given by
(
)
rT
Tt
T
t
t
e
F
F
PV
−
−
=
,
, 0
Derivative securities: Options - Introduction