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Formulae and Tables 2025 Edition

The new edition of the Formulae and Tables will support you with your preparation for the 2026 exams.

 

Explore the all-new red edition of the Formulae and Tables book, updated for the 2026 exams with refreshed mortality tables, revised content, and a modernised format.

We are pleased to announce a new benefit to your IFoA membership: the 2025 red edition of the Formulae and Tables is now available for free as a digital view-only copy in the eShop. A print copy can be purchased in the eShop.

The 2025 edition is not for use in the September 2025 exams. It should only be used for April 2026 exams onwards.

Key changes

This updated edition includes key changes designed to align with the evolving actuarial profession:

  • Content modernisation: Several outdated formulae and tables, which have not been widely used in practice, have been removed. The focus is on more relevant, practical content that aligns with current actuarial work.
  • Updated content: The contents have been updated to fully reflect the evolving syllabus requirements of the profession, with the tables reflecting a more contemporary experience and methods.

See a comprehensive list of all updates, including changes to formulae, tables, and content structure:

Read updates for 2025 edition

Introduction from our Director of Learning

The creators of the first actuarial Formula and Tables for exams in 1877 could hardly have imagined how much their publication would evolve and expand. We now take pleasure in releasing the eighth edition, 148 years later. 

Advances in computational technology have reduced the need for compound interest tables and rendered life insurance related commutation functions irrelevant. However, the central function of providing core statistical formulae and tables as well as mortality and other decrement tables has remained unchanged. This function has expanded with the growing reach of the profession.

While many sections of the 2025 edition remain unchanged from the 2002 edition, some sections have been removed as they are no longer examined. The mortality and other decrement tables have been updated to reflect changing experience, based on the excellent work done by the Continuous Mortality Investigation Team.

While few will find this book exciting bedside reading, it fulfils an essential function in the development of the next generation of actuaries. By providing both useful formulae and important tables, it enables students to develop the problem solving and statistical reasoning essential in the development of actuarial skills.

Most actuaries will recall the edition of the Formulae and Tables they relied on during their studies. More senior members remember the 1952 blue edition with the loose grey cover. Slightly younger members remember the 1982 green edition and, since the early years of the 21st century, the orange edition. 

From 2026 students will engross themselves in this new red edition. I am confident it will serve as a valuable resource as they develop into the profession’s future leaders in the decades ahead.

I would like to thank ºÚÁÏÕýÄÜÁ¿â€™s Curriculum Team, our staff actuaries, the Continuous Mortality Investigation Team, and everyone else who has contributed to this important resource.

Mike McDougall
Director of Learning

A look back: the legacy of the Formulae and Tables book

The IFoA’s Formulae and Tables book has been an essential companion for actuaries sitting exams for decades. The book has evolved significantly since its earliest version, the ‘brown card’, first published in 1877, through to the iconic ‘orange book’ in use since 2002.

Over the years, the content has evolved and changed to reflect the needs of each generation of actuaries. Today, the Formulae and Tables book is more than just a tool for candidates, it’s a reflection of the history and development of the actuarial profession itself.

  • 1877: The brown card: The earliest known exam guide, a stiff piece of brown card containing logarithms and anti-logarithms.
  • 1898: The black and blue book: The first ‘proper’ book for life tables, logarithm table and compound interest tables, marking a more formal approach to actuarial work.
  • 1912: The brown embossed book: Additions to this book meant it doubled in size from 39 pages in 1898 to 78 pages in in 1912. There are more interest rates and an additional life table.
  • 1930: The black book: Building on its predecessor, there is an increased range of interest rates and additional life tables.
  • 1952: The navy book: Significantly expanded with life and sickness tables, it reflects the growing complexity of actuarial exams.
  • 1982: The green book: A further 21 pages were added, predominantly in the formulae tables and more interest rates as well as the life tables being updated.
  • 2002: The orange book: The most recent update until now, featuring a comprehensive formula section and marking a shift away from the logarithms of earlier editions.
A new chapter for the Formulae and Tables book

A new chapter for the Formulae and Tables book

Actuaries Sally Calder and Colin Thores share their thoughts on the new edition of the Formulae and Tables book.

FAQs

All the details in one place.

 

Can I use a pre-owned Formulae and Tables book in a closed book exam?

Yes. You can also use annotated copies, but you must remove all post-it notes, sticky tabs, or attached notes before the exam.

 

When is the 2002 orange Formulae and Tables valid until?

The 2002 edition of the Formulae and Tables is valid for exams up until the end of the September 2025 exam session.

You must use the 2025 edition for any exams you plan to sit from April 2026 onwards.

 

When is the 2025 red edition of the Formulae and Tables valid from?

The 2025 edition of the Formulae and Tables will be used for exams in April 2026 onwards.

 

I studied for an exam using the 2002 orange book and need to resit during 2026. Which Formulae and Tables book should I use? 

You must use the 2025 edition of the Formulae and Tables for any resits you need to take from 2026 onwards. You can either use the free view-only digital version or purchase a print copy of the book. Both are available in the eShop.

See detailed schedule of changes from 2002 edition

 

What changes have been made to the 2025 edition of the Formulae and Tables?

See detailed schedule of changes from 2002 edition

 

Can I download a digital copy of the 2025 Formulae and Tables?

For the first time, a digital version of the Formulae and Tables has been made available to members. The digital version is view only and cannot be downloaded or annotated.

 

I am not a member: how do I get a copy?

If you are not an IFoA member, visit the eShop to purchase the digital version for £15 or print copy for £35. Non-members do not need to register or set up an account to use the eShop.

Get your copy of the new edition

The new 2025 edition of the Formulae and Tables is now available for the 2026 exams, and we’re excited to offer both print and digital versions. Both versions are available in the eShop. The digital version is free for IFoA members and £15 for non-members. The print book can be purchased in the eShop.

The 2002 Formulae and Tables is also included as a member benefit until the end of 2025.