PINE LIBRARY
ctnd
Library "ctnd"
Description:
Double precision algorithm to compute the cumulative trivariate normal distribution
found in A.Genz, Numerical computation of rectangular bivariate and trivariate normal
and t probabilities”, Statistics and Computing, 14, (3), 2004. The cumulative trivariate
normal is needed to price window barrier options, see G.F. Armstrong, Valuation formulae
or window barrier options”, Applied Mathematical Finance, 8, 2001.
References:
https://link.springer.com/article/10.1023/B:STCO.0000035304.20635.31
https://www.tandfonline.com/doi/abs/10.1080/13504860210124607
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.353.1954&rep=rep1&type=pdf
The Complete Guide to Option Pricing Formulas, 2nd ed. (Espen Gaarder Haug)
CTND(LIMIT1, LIMIT2, LIMIT3, SIGMA1, SIGMA2, SIGMA3)
Returns the Cumulative Trivariate Normal Distribution
Parameters:
LIMIT1: float,
LIMIT2: float,
LIMIT3: float,
SIGMA1: float,
SIGMA2: float,
SIGMA3: float,
Returns: float.
Description:
Double precision algorithm to compute the cumulative trivariate normal distribution
found in A.Genz, Numerical computation of rectangular bivariate and trivariate normal
and t probabilities”, Statistics and Computing, 14, (3), 2004. The cumulative trivariate
normal is needed to price window barrier options, see G.F. Armstrong, Valuation formulae
or window barrier options”, Applied Mathematical Finance, 8, 2001.
References:
https://link.springer.com/article/10.1023/B:STCO.0000035304.20635.31
https://www.tandfonline.com/doi/abs/10.1080/13504860210124607
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.353.1954&rep=rep1&type=pdf
The Complete Guide to Option Pricing Formulas, 2nd ed. (Espen Gaarder Haug)
CTND(LIMIT1, LIMIT2, LIMIT3, SIGMA1, SIGMA2, SIGMA3)
Returns the Cumulative Trivariate Normal Distribution
Parameters:
LIMIT1: float,
LIMIT2: float,
LIMIT3: float,
SIGMA1: float,
SIGMA2: float,
SIGMA3: float,
Returns: float.
Pine library
In true TradingView spirit, the author has published this Pine code as an open-source library so that other Pine programmers from our community can reuse it. Cheers to the author! You may use this library privately or in other open-source publications, but reuse of this code in a publication is governed by House rules.
Public Telegram Group, t.me/algxtrading_public
VIP Membership Info: patreon.com/algxtrading/membership
VIP Membership Info: patreon.com/algxtrading/membership
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.