Early exercise

The Binomial Model Part 2: Trees, Greeks, and the Continuous Limit

In Part 1 we covered the intuition behind the binomial model: delta hedging, risk-neutral pricing, and why probabilities do not matter for option values. Now we get to the practical side. How do you actually build a binomial tree, compute option prices, estimate Greeks, handle American options, and connect everything back to Black-Scholes?

American Options: When to Exercise Early and Why It Matters

European options are simple: you wait until expiry, check if they are in the money, and either collect the payoff or walk away. American options give you more power and more headaches. You can exercise at any time before expiry, which sounds great but raises a hard question: when exactly should you do it? Chapter 9 of Wilmott’s book tackles this problem, and the ideas that come out of it show up again and again throughout the rest of quantitative finance.

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