binomial-option-pricing-model

Using a three-step binomial to price "options on other assets" (Hull 13.11 10th edition): equity index option, currency options and futures options (aka, options on futures contracts). The key difference is the calculation of p = probability of an up jump. For options on dividend-paying assets...

Instead of arbitrarily selecting the up (u) and down (d) jumps in the binomial, we can "match them to a volatility input assumption, σ. The correct values are given by u = exp[σ*sqrt(Δt)] and d = 1/u; notice that the exponent is just apply the Square Root Rule (SRR) of scaling the per annum...

The binomial option pricing model needs: 1. A set of assumptions similar but not identical to those found in Black-Scholes; 2. A framework; i.e., risk-neutral valuation which allows us to infer the probability of an up-jump; 3. An assumption about asset dynamics, in this case that arithmetic...