Suppose the underlying asset is paying a continuous dividend yield at the rate q, the two governing equations for u,d and p are modified as 

Show that the parameter values in the binomial model are modified by replacing the growth factor of the asset price e^rΔt (under the risk neutral measure) by the new factor e^(r−q)Δt while the discount factor in the binomial formula remains to be e^−rΔt .

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pu + (1 - p)d = e(r-q)4t pu² + (1 - p)d² = ²(r-q)Ato² At