## Derivatives Pricing

**Derivatives Pricing**

Derivatives are instruments whose payoffs depend on the movement of underlying assets. The value of the derivative instrument therefore can be evaluated by creating and valuing a portfolio of assets whose prices are easily observed in the market and whose cash flows replicate those of the options.

The methodologies used to price a derivative security may vary from closed form solutions such as the Black-Scholes option pricing formula, to numerical methods such as the binomial trees and Monte Carlo simulation.

**Topics covered:**

- A Brief overview of relative pricing, risk neutral probabilities and the risk free rate
- Binomial option pricing basics
- An alternative method of implementing a two-dimensional binomial tree that allows the extension of a simple 3 step tree to a 50 – 100 step option pricing tree in a few minutes
- Pricing of the following options using this alternate methodology such as:

- European calls and put options
- American calls and put options
- Knock in and knock out (sudden death) options

**EXCEL files:**

The pre-packaged course also includes 3 EXCEL files covering the following concepts:

- The supporting excel file for the alternate binomial tree methodology for the products mentioned above
- Option pricing using the Traditional Binomial Tree approach

Option pricing using the Black-Scholes option pricing formula