23. Generalize the calibration of the growth model for stock prices in (7.136) to develop formulas for u and d for arbitrary p, 0 < p < 1, where p ¼ Pr½u, being explicit about the binomial probabilities that govern the associated price lattice in (7.138).

(Hint: Proceed as before, showing that with the binomial B defined as in section 7.8.5, and p011  p, E½B ¼ pu þ p0d and Var½B ¼ pu2 þ p0d 2  ðpu þ p0dÞ2.)