Binomial Options Pricing

The binomial options pricing model is a valuation method that has been utilized over the past three decades. The model allows for points of time within the valuation date and expiration date of an option to be specified as a result of the method used by the pricing model.

Explanation of Binomial Options Pricing

The possibility for arbitrage is removed, the option’s duration is shortened, and the possibility for price changes is significantly reduced in what is assumed as a market that functions efficiently. When simplified in this manner it is possible to determine a mathematical valuation for each point of time within the option’s valuation date. These points of times are frequently referred to as nodes in the binomial option pricing model.

Binomial Options Pricing Details

The binomial options pricing model approaches valuation in a way that assumes risk is natural. The assumption is that over time the security prices will only increase or decrease until the expiration of the option. A binomial tree is used to exemplify various points in value at different points in time. The model is quite simple, which offers several advantages to using this method.

Advantages of Binomial Options Pricing

Cox, Ross, and Rubinstein proposed the binomial option pricing model in 1979 as a way to create a generalized method for valuating options. The model determines the variations in price over time. There are no other models that can handle the condition variations as easily as the binomial options pricing model and because of this it is one of the most popular models to use. The easy application of this model is based on the fact that it does not focus on the underlying instrument’s at a particular point but rather over time. The model uses basic mathematics, making this particular model quite easy for implementation in spreadsheets and/or software.

Application of Binomial Options Pricing

There are three separate steps that are used in this valuation model. The first is to generate a price tree, the second is to calculate an option value at each point in time, and finally to calculate the values at each earlier point in time and the first point of time is the option’s value.

Another model that is widely used is the Black-Scholes model because it is quicker. However, while the binomial options pricing model takes more time to calculate it offers a more accurate result for options that have dates further in the future as well as for security options that pay dividends. Based on this accuracy, the binomial options pricing model is used consistently for options.

There are certain types of options that should use different models other than the binomial option pricing model. For example, Asian options and real options that are complicated or uncertain do not lend themselves to this model and other models, such as Monte Carol option models, would be more appropriate.