The replicating portfolio 205Let us now consider an alternative way to solve the wealth equations (i) and (ii).
We rewrite the wealth equation as follows:
Derivative securities: Options - Binomial asset pricing model
()()(
)
()
()
()
i.p.
,1
1
1
1
1
10100101000
001
01
01⎞ ⎟ ⎠
⎛ ⎜ ⎝
− + ∆ + = + ⇒
+ − ∆ + + == ∆ − + + ∆ =
=
∆
=S r S X r V
S
rS
X
rS
X
rS
B
rS
V