RTL (version 1.3.7)

CRROption: Cox-Ross-Rubinstein Option Pricing Model

Description

Computes the price of European and American options using the Cox-Ross-Rubinstein binomial model. This function is optimized for performance and implemented in C++. Haug (2007) provides a detailed description of the model.

Usage

CRROption(S, X, sigma, r, b, T2M, N, type, optionStyle)

Value

A list containing the computed price of the option and a note indicating if the model is suitable for the provided parameters.

Arguments

S

Numeric, the current stock price (also known as the underlying asset price).

X

Numeric, the strike price of the option.

sigma

Numeric, the implied volatility of the underlying stock (annualized).

r

Numeric, the risk-free interest rate (annualized).

b

Numeric, the cost of carry, b = r - q for dividend paying assets, where q is the dividend yield rate.

T2M

Numeric, the time to maturity of the option (in years).

N

Integer, the number of time steps in the binomial tree.

type

Character, the type of option ("call" or "put").

optionStyle

Character, the style of the option ("european" or "american").

Examples

# CRROption(S = 100, X = 100, sigma = 0.25, r = 0.1, b = 0, T2M = 1, N = 500,
# type = "call", optionStyle = "european")
# CRROption(S = 100, X = 100, sigma = 0.25, r = 0.1, b = 0, T2M = 1, N = 500,
# type = "call", optionStyle = "american")