PDF · Notes
Quant Mathematics Self-Study Roadmap for Finance Professionals
- Shared by
- Nandish C.
- Course
- CA Inter
- Subject
- Advanced Accounting
- Added
- 11 Nov 2026
Part of: CA InterAdv Accounting
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This note is a self-study roadmap for finance students who want to learn quantitative mathematics alongside their CA, CMA or CFA preparation. It maps what your current courses already teach, such as statistics, probability and time series, to the quant skills that matter for portfolio analysis and systematic investing. It then lists eight core books in three tiers, from Bertsekas and Tsitsiklis on probability to Dembo on stochastic processes, with the approximate time each one needs. It suits students who are comfortable with basic finance maths and want a clear reading order rather than a random list of books.
What the note covers
The note opens with a comparison table showing how CMA Inter, CA Inter, CFA and CMA USA already give you some quant foundations, and how strongly each one links to quant work. The main part is a stack of eight resources, each with a short explanation of why it matters, the page length and an estimated study time. The books range from probability and statistics to applied linear algebra, convex optimisation, stochastic processes and Markov chains. Each entry also gives a link to the free PDF, so you can check the material before committing.
How to use it for revision and reading
Treat the tiers as a sequence. Tier 1 covers probability, statistics and a statistical learning text, and is the right starting point for most students. Tier 2 builds the linear algebra and optimisation that underpin portfolio construction, such as mean-variance optimisation. Tier 3 is for students who want to go deeper into stochastic calculus and market-state modelling. Pairing a chapter each week with the matching CFA Quant Methods or CMA Stats topic can make the reading easier to retain.
Who should read this
The note is aimed at finance professionals and commerce students who want to pursue quant work as a serious hobby or a later career move, and who already have some exposure to statistics and time value of money. It is most useful for students preparing for CFA Level 1 or CMA Inter who want to see where their current syllabus leads. Students with no prior maths background may find Tier 1 a demanding but workable starting point.
Key topics in these notes
- Probability and random variables
- Statistics and avoiding backtest errors
- Statistical learning and regression
- Applied linear algebra and factor models
- Convex optimisation and portfolio allocation
- Stochastic processes and Brownian motion
- Markov chains and regime-switching models
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Frequently asked questions
Is this quant roadmap useful for CA Inter students?
Yes, the note maps how CA Inter's statistics and probability basics connect to quant topics. It rates CA Inter as a partial link, so students will need to go beyond their current syllabus.
Which book should I read first for quant maths?
The note recommends Bertsekas and Tsitsiklis's Introduction to Probability as the first book, with Statistics Done Wrong as a short companion read.
How long will the full roadmap take?
The note gives estimates for each book, ranging from about 2 to 3 weeks for Statistics Done Wrong to 5 to 6 months for Dembo's Stochastic Processes.
Are the recommended books free?
The note links to free PDFs for each resource. You can open the full note free in the Studycaller app.