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Binomial Lattice Model For Stock Prices
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Binomial lattice model for stock prices - Columbia
www.columbia.eduBinomial lattice model for stock prices Here we model the price of a stock in discrete time by a Markov chain of the recursive form S n+1 = S nY n+1, n ≥ 0, where the {Y i} are iid with distribution P(Y = u) = p, P(Y = d) = 1 − p. Here 0 < d < 1 + r < u are constants with r the risk-free interest rate ((1 + r)x is the
1 Geometric Brownian motion - Columbia
www.columbia.edu1.5 The Binomial model as an approximation to geometric BM The binomial lattice model (BLM) that we used earlier is in fact an approximation to geometric BM, and we proceed here to explain the details. Recall that for BLM, S n = S 0Y 1Y 2 ···Y n, n ≥ 0 where the Y i are i.i.d. r.v.s. distributed as P(Y = u) = p, P(Y = d) = 1−p. Besides ...