To obtain a consistent binomial scheme for the floating strike lookback put option, we derive the binomial

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To obtain a consistent binomial scheme for the floating strike lookback put option, we derive the binomial discretization at j = 0 using the finite volume approach. First, we integrate the governing differential equation from x = 0 to x = Δx/2 to obtain

-N*(-*)4+[++ Wl qV dx + + (9-r-2/) (V4 )(Var  Vo).Suppose we adopt the following approximations:

J*(-av)ax aV ax 4x 22 dx  V+1  V+1  V+1  V 0  VAX -4V) 4x V+1 + V+1 2

Show that the binomial approximation at j = 0 is given by

VI = 1 1+qt' [(2 1)VExamine the consistency of the above binomial approximation.

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