Mathematical foundation
Stochastic calculus, probability theory, linear algebra and differential equations form the core toolkit of every quant.
QuantClub KSE · Kyiv · 2026
A student-led community bridging rigorous mathematical thinking and modern quantitative finance — from stochastic calculus to algorithmic trading.
Quantitative finance applies mathematical models, statistical methods and computational algorithms to financial markets. It is where pure mathematics becomes a practical superpower.
Stochastic calculus, probability theory, linear algebra and differential equations form the core toolkit of every quant.
From derivatives pricing and algorithmic trading to portfolio optimisation — math drives modern financial markets.
Machine learning, time-series analysis and statistical modelling uncover patterns and manage risk in complex markets.
Competitions, workshops and meetups by QuantClub KSE.
A weekend at KSE Obolon: the offline competition final, student scientific battles with one $1,000 Research Award, invited speakers and a public probability event. An online qualifier precedes the final.
Practice probability, statistics and brainteasers drawn from quantitative finance interviews.
An English-language lecture by the ETH Zurich professor, joining online. Watch online or at KSE Obolon, 19 Obolonska Naberezhna — with pizza on campus. Part of the Probability and Games lecture series.
Probability, stochastic processes and quantitative finance. Current undergraduate, Master’s and PhD students are invited to submit research from 1 October. One Student Research Award: $1,000.
A competitive estimation game: 12 problems, 18 attempts and the narrowest credible intervals win.
Curated materials for quantitative finance. Access is available via a KSE corporate email.
Machine learning in finance: feature engineering, meta-labeling and cross-validation.
↗02Systematic and discretionary approaches: long/short equity, macro and statistical arbitrage.
↗03Probability puzzles, brainteasers, mental math and technical questions from leading firms.
↗04Portfolio construction, factor investing, risk parity and quantitative asset management.
↗05Foundational textbooks and papers on stochastic calculus, derivatives and quantitative methods.
↗Support one activity, a recurring program, or the 2026–27 academic year at KSE Quant Club.
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Speakers, problem setters, judges, technical reviewers and mentors.
Datasets, software and compute for practical learning.
Internships, interviews and research placements.
Choose a single activity, a recurring program or a year-long partnership.
PDF / 06 PAGES ↗Probability, brain teasers, mental math and finance — select a card, write your solution, then reveal the check.
Find the expected number of rolls needed to see all six faces.
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Model the unseen faces as states; sum the geometric waiting times for each new face.
One envelope contains twice as much as the other. Does switching improve expected value?
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The apparent paradox comes from using inconsistent conditional distributions for the observed amount.
Two uneven ropes each burn in one hour. Measure exactly 45 minutes.
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Light rope A at both ends and rope B at one end. When A finishes, light B’s other end.
Estimate the expected maximum of repeated independent draws.
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Use the tail-sum formula: integrate one minus the CDF of the maximum.
Stay or switch after the host reveals a goat?
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Switch. Your first pick wins with probability 1/3; switching inherits the remaining 2/3.
How should an option react to volatility and time?
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More volatility expands upside while downside remains bounded; more time usually increases optionality.
Can 100 prisoners achieve a success probability far above random guessing?
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Follow the permutation cycles starting from each prisoner’s own number.
Update the odds after drawing cards without replacement.
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Write the conditional sample space explicitly; the denominator changes after every draw.
Compare waiting times for overlapping head-tail patterns.
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Build states from the longest suffix that is also a prefix of the target pattern.
Relate European calls, puts, stock and a zero-coupon bond.
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Match terminal payoffs: C − P = S₀ − K·e⁻ʳᵀ.
Can an ant reach the end of a uniformly stretching band?
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Yes in the idealised model: the ant’s fractional progress accumulates as a divergent harmonic series.
How many people make a shared birthday more likely than not?
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Compute the complement of all birthdays being distinct; the threshold is 23 people.
Compare strategies with different return and volatility profiles.
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Use excess return divided by volatility, with consistent frequency and annualisation.
What is the chance of hitting a profit target before bankruptcy?
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Solve the boundary-value recurrence; the fair-game case is linear in starting capital.
How long to collect all equally likely coupon types?
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The expectation is n times the nth harmonic number, approximately n(log n + γ).
Act as a market maker: quote both sides, manage inventory and try to capture the spread.
Quick quotes
Market makers provide liquidity by continuously quoting bid and ask prices. The spread is the gap between the best bid and best ask. The opportunity is capturing that spread; the risk is holding inventory when prices move against you.
QuantClub KSE is a student-led community exploring quantitative finance, algorithmic trading and mathematical modelling. Our mission is to equip students with the mathematical skills needed for careers in quantitative finance — and make the path more accessible.
Approximathon / Estimathon: tricky quantitative problems solved under time pressure.
Probability puzzles, brainteasers, mental math and questions from top quant firms.
Research talks, scientific battles and discussion of probability, stochastic processes and quantitative finance.
A curated library of textbooks, papers and courses open to all club members.



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Mathematics, code, markets — and people to explore them with. Join the QuantClub KSE mailing list for events, workshops, research and opportunities.