Suppose we let y = ln S, the KamradRitchken trinomial scheme can be expressed as Show that

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Suppose we let y = ln S, the Kamrad–Ritchken trinomial scheme can be expressed as 

c(y, t-At) = [pic(y + v, t) + p2c(y, t) + p3(y - v, t)] e-rat.

Show that the Taylor expansion of the above trinomial scheme is given by 

-c(y, t  t) + [pic(y + v, t) + p2c(y, t) + p3(y - v, t)] e-rt = t  (y,t)  at 12  2 212 1-TA[(PI  P30^1 (

Given the probability values stated in (6.1.19a,b,c), show that the numerical solution c(y,t) of the trinomial scheme satisfies 

0 - (-7) 300+30 = -(y, t) + (r at 2  2  (y, t) + 2 ay2  (y, t)  rc(y, t) + (1).

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