Legal

Third-party notices

RiskAtoms is our own work, built with the open-source software and fonts below. Each stays under its own licence, and its authors keep their copyright. Last updated 2 November 2026.

Pricing and numerical libraries

Run on our servers. QuantLib is the only third-party pricing library; NumPy and SciPy supply general numerics.

QuantLibBSD-3-Clause (modified BSD)
Hull-White trees for callable, putable and extendible bonds and bond options; Bermudan and Jamshidian swaptions; analytic Heston with calibration; American option approximations (QD+, Barone-Adesi-Whaley, Bjerksund-Stensland); FX barrier closed forms, Dupire local vol and Heston stochastic local vol calibration.
Copyright (C) 2000 onwards, the QuantLib contributors (see quantlib.org/license)
Boost (bundled with QuantLib)BSL-1.0
C++ libraries inside the QuantLib build.
Copyright the Boost contributors
NumPyBSD-3-Clause (with 0BSD, MIT, Zlib and CC0 parts)
Arrays, linear algebra and random numbers.
Copyright (c) 2005-2025, NumPy Developers
SciPyBSD-3-Clause
Distributions, root finding, optimisation, integration and interpolation.
Copyright (c) 2001-2002 Enthought, Inc. 2003 onwards, SciPy Developers

Service

Run on our servers.

FastAPIMIT
The API.
Copyright (c) 2018 Sebastián Ramírez
StarletteBSD-3-Clause
The web framework under FastAPI.
Copyright (c) 2018, Encode OSS Ltd
UvicornBSD-3-Clause
The application server.
Copyright (c) 2017 onwards, Encode OSS Ltd
Pydantic and pydantic-coreMIT
Input checking.
Copyright (c) 2017 onwards, Pydantic Services Inc. and individual contributors
AnyIOMIT
Async support.
Copyright (c) 2018 Alex Grönholm
annotated-typesMIT
Type constraints.
Copyright (c) 2022 the contributors
typing-extensionsPSF-2.0
Type hints.
Copyright (c) 2001 onwards, Python Software Foundation
openpyxl and et-xmlfileMIT
Reading uploaded Excel files.
Copyright (c) 2010 openpyxl
python-multipartApache-2.0
File uploads.
Copyright the python-multipart contributors

Website

Sent to your browser as part of the site.

Next.jsMIT
The site framework.
Copyright (c) 2025 Vercel, Inc.
React and React DOMMIT
The user interface.
Copyright (c) Meta Platforms, Inc. and affiliates
KaTeXMIT
Formulas.
Copyright (c) 2013-2020 Khan Academy and other contributors
math.jsApache-2.0
The RiskAtoms calculator.
Copyright (C) 2013-2026 Jos de Jong
math.js dependencies: typed-function, complex.js, fraction.js, decimal.js, escape-latex, seedrandom, tiny-emitter, javascript-natural-sort, @babel/runtimeMIT
Used by math.js.
Copyright Jos de Jong, Robert Eisele, Michael Mclaughlin, Dang Mai, David Bau, Scott Corgan, Jim Palmer, Sebastian McKenzie and other contributors
Space GroteskSIL OFL 1.1
Headings.
Copyright 2020 The Space Grotesk Project Authors
JetBrains MonoSIL OFL 1.1
Code and figures.
Copyright 2020 The JetBrains Mono Project Authors

Licence texts

The MIT and BSD-3-Clause licences apply with each component's copyright line above. The other licences are published in full by their stewards: Apache License 2.0, Boost Software License 1.0, SIL Open Font License 1.1, Python Software Foundation License 2.0.

MIT License

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

BSD 3-Clause License

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

No endorsement

Naming these projects does not mean their authors endorse RiskAtoms. Their software is provided as is, without warranty, under the terms of its licence.