The Cox-Ross-Rubinstein binomial option pricing model (CRR model) is a variation of the original Black-Scholes option pricing model. It was first proposed in 1979 by financial economists/engineers John Carrington Cox, Stephen Ross and Mark Edward Rubinstein. The model is popular because it considers the underlying instrument over a period of time, instead of just at one point in time. It does this by using a lattice-based model, which takes into account expected changes in various parameters over an option's life, thereby producing a more accurate estimate of option prices than created by models that consider only one point in time. Because of this, the CRR model is especially useful for analyzing American style options, which can be exercised at any time up to expiration (European style options can only be exercised upon expiration). And, unlike the original Black-Scholes option pricing model, the CRR model has the ability to take into account the effect of dividends paid out by a stock during the life of an option.

Click the below url to check the algorithms. |
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## Note: Calculate cox without dividend.If dividend per share value = 0.0 then apply the following changes in equation Example: Values = matrix(0,0)
1) Dd = (D*exp(-rf*td)) #discounted dividend from Ex date assume Ex and pay date is same#
2) Sd = (S-Dd) #Stock adjusted for present value of dividends#
3) Xd1 = (X-D) #Strike adjusted after dividend paid#
## For algorithms guide click the below linksCOX WITH DIVIDEND ALGORITHM GUIDE |
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COX WITHOUT DIVIDEND ALGORITHM GUIDE |

Variables |

K(29.00) = strike price |

Spot(30.00) = spot price |

T(40) = Time in year (days/365) |

D(2.50) = Dividend per share |

v(30.0) = volatility in % |

r(5.00) = risk-free interest rate in % |

td(25) = Time to Dividend Payment |

n(6) = steps |

PutCall(P) = P for put and C for call |

OpStyle(E) = E for European option and A American option |

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