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60-Day Plan

· 60 days

A two-month plan at a gentler pace: every topic and coding problem, interleaved and ramping gradually from easy to hard. A few problems a day across mixed topics, so earlier material stays fresh right up to interview day.

Sign in to track your progress — each day checks off as you solve its problems.

1

Day 1

Coding · Brain teasers · Probability

Two SumLeetCode

Algorithms & NumericalGoogleDE Shaw

Coin Toss — Two Heads

ProbabilityJane Street

Trailing Zeros in 100!

Brain TeasersGoldman SachsJ.P. Morgan

2

Day 2

Calculus · Finance · Options

Put-Call Parity

FinanceGoldman SachsMorgan Stanley

Definite Integral of x²

Calculus & Linear AlgebraGoldman Sachs

Delta of an ATM Call

Options & GreeksOptiverIMC Trading

3

Day 3

Portfolio · Statistics · Stochastic

Portfolio & RiskGoldman SachsAQR Capital

Variance of Uniform(0,1)

StatisticsGoldman SachsCitadel

Variance of Brownian Motion

Stochastic ProcessesGoldman SachsMorgan Stanley

4

Day 4

Coding · Brain teasers · Probability

Monte Carlo — Estimate π

Algorithms & NumericalGoldman SachsTwo Sigma

ProbabilityGoldman SachsMorgan Stanley

Clock Hands at 3:15

Brain TeasersMorgan StanleyBarclays

5

Day 5

Calculus · Finance · Options

Zero-Coupon Bond Price

FinanceGoldman SachsPIMCO

Limit of sin(x)/x

Calculus & Linear AlgebraGoldman SachsMorgan Stanley

Delta of a Forward

Options & GreeksOptiverIMC Trading

6

Day 6

Coding · Probability

Newton’s Method for √2

Algorithms & NumericalGoldman SachsJane Street

Flips Until First Head

ProbabilityOptiverIMC Trading

Nim GameLeetCode

Algorithms & NumericalJane StreetSIG / Susquehanna

7

Day 7

Brain teasers · Finance · Portfolio

Portfolio & RiskGoldman SachsAQR Capital

Brain TeasersJane StreetGoldman Sachs

Futures Fair Value

FinanceGoldman SachsOptiver

8

Day 8

Calculus · Statistics · Stochastic

StatisticsTwo SigmaAQR Capital

Flips Until Two Heads in a Row

Stochastic ProcessesJane StreetCitadel

Geometric Series

Calculus & Linear AlgebraGoldman Sachs

9

Day 9

Coding · Options · Probability

Most Negative Put Delta

Options & GreeksGoldman SachsOptiver

Product of Array Except SelfLeetCode

Algorithms & NumericalTwo SigmaHRT

Two Dice Sum to 7

ProbabilityOptiverIMC Trading

10

Day 10

Coding · Brain teasers · Finance

Last Digit of 2^100

Brain TeasersGoldman SachsMorgan Stanley

Duration & Price Sensitivity

FinanceGoldman SachsJ.P. MorganPIMCO

Kth Largest ElementLeetCode

Algorithms & NumericalTwo SigmaDE Shaw

11

Day 11

Calculus · Options · Probability

Limit of (1+1/n)^n

Calculus & Linear AlgebraGoldman SachsMorgan Stanley

Sign & Peak of Vega

Options & GreeksOptiverIMC Trading

ProbabilityGoldman SachsMorgan Stanley

12

Day 12

Coding · Portfolio · Statistics

Two-Asset Portfolio Volatility

Portfolio & RiskGoldman SachsAQR Capital

Maximum Subarray (Kadane)LeetCode

Algorithms & NumericalTwo SigmaDE Shaw

Variance of a Sum

StatisticsGoldman SachsMorgan Stanley

13

Day 13

Brain teasers · Finance · Stochastic

Gambler’s Ruin

Stochastic ProcessesJane StreetSIG / Susquehanna

Handshakes at a Party

Brain TeasersGoldman Sachs

Perpetuity Value

FinanceGoldman SachsJ.P. Morgan

14

Day 14

Calculus · Options · Probability

Expected Rolls for a Six

ProbabilityOptiverIMC Trading

L'Hôpital — (eˣ−1)/x

Calculus & Linear AlgebraGoldman SachsMorgan Stanley

Options & GreeksOptiverCitadel Securities

15

Day 15

Coding · Brain teasers · Portfolio

Random Pick with WeightLeetCode

Algorithms & NumericalCitadelTwo Sigma

Value at Risk (Normal)

Portfolio & RiskGoldman SachsMorgan StanleyMillennium Management

Two Eggs, 100 Floors

Brain TeasersGoogleGoldman Sachs

16

Day 16

Coding · Finance · Probability

FinanceGoldman SachsMorgan Stanley

At Least One Six

ProbabilitySIG / SusquehannaOptiver

Shuffle an Array (Fisher-Yates)LeetCode

Algorithms & NumericalTwo SigmaDE Shaw

17

Day 17

Calculus · Options · Statistics

Derivative of ln(x)

Calculus & Linear AlgebraGoldman Sachs

How Dear Can a Call Be?

Options & GreeksJane StreetAkuna Capital

Central Limit Theorem

StatisticsGoldman SachsMorgan Stanley

18

Day 18

Coding · Probability · Stochastic

Covariance of Brownian Motion

Stochastic ProcessesGoldman SachsTwo Sigma

Best Time to Buy and Sell StockLeetCode

Algorithms & NumericalTwo SigmaDE Shaw

Roll Until All Six Faces

ProbabilityGoogleTwo Sigma

19

Day 19

Coding · Brain teasers · Finance

Horse Race — Top 3

Brain TeasersGoogleTwo Sigma

Coupon Equals Yield

FinanceGoldman SachsPIMCO

Rand10() from Rand7()LeetCode

Algorithms & NumericalJane StreetOptiver

20

Day 20

Calculus · Options · Portfolio

Sum of First 10 Squares

Calculus & Linear AlgebraJane StreetTwo Sigma

Find the Put from Parity

Options & GreeksGoldman SachsMorgan Stanley

CVaR / Expected Shortfall

Portfolio & RiskAQR CapitalTwo Sigma

21

Day 21

Brain teasers · Finance · Probability

Birthday Problem

ProbabilityGoldman SachsCitadel

Brain TeasersGoogleTwo Sigma

FinanceBarclaysMorgan Stanley

22

Day 22

Coding · Statistics · Stochastic

Coin Change (DP)LeetCode

Algorithms & NumericalGoogleDE Shaw

StatisticsTwo SigmaDE Shaw

Random Walk Recurrence

Stochastic ProcessesTwo SigmaDE Shaw

23

Day 23

Calculus · Options · Probability

Trace = Sum of Eigenvalues

Calculus & Linear AlgebraTwo SigmaGoldman Sachs

Delta of a Deep ITM Call

Options & GreeksIMC TradingOptiver

Drunk Passenger

ProbabilityJane StreetCitadel

24

Day 24

Coding · Brain teasers

Online Stock SpanLeetCode

Algorithms & NumericalCitadel SecuritiesHRT

Brain TeasersGoogleJane Street

25

Day 25

Finance · Portfolio

Duration and a Rate Move

FinancePIMCOBlackRock

Diversification & Sharpe

Portfolio & RiskAQR CapitalCitadel

26

Day 26

Coding · Probability

Time-Based Key-Value StoreLeetCode

Algorithms & NumericalTwo SigmaJump Trading

Bayes — Disease Test

ProbabilityGoldman SachsTwo Sigma

27

Day 27

Calculus · Options

Determinant = Product of Eigenvalues

Calculus & Linear AlgebraTwo SigmaDE Shaw

Straddle Breakeven

Options & GreeksSIG / SusquehannaAkuna Capital

28

Day 28

Statistics · Stochastic

Range of Correlation

StatisticsGoldman SachsCitadel

Quadratic Variation of BM

Stochastic ProcessesGoldman SachsTwo Sigma

29

Day 29

Coding · Brain teasers

Best Time to Buy and Sell Stock IILeetCode

Algorithms & NumericalOptiverJane Street

Mislabeled Jars

Brain TeasersJane StreetOptiver

30

Day 30

Finance · Probability

Real Rate of Return

FinancePIMCOCitadel

Broken Stick Triangle

ProbabilityJane StreetCitadel

31

Day 31

Calculus · Portfolio

Maximum Drawdown

Portfolio & RiskCitadelTwo SigmaMan Group

Approximate cos(0.1)

Calculus & Linear AlgebraJane StreetOptiver

32

Day 32

Coding · Options

Covered Call Max Profit

Options & GreeksMorgan StanleyIMC Trading

Gas StationLeetCode

Algorithms & NumericalJane StreetCitadel

33

Day 33

Brain teasers · Finance

Burning Ropes — 45 Minutes

Brain TeasersGoldman SachsMorgan Stanley

Black-Scholes ATM Call

FinanceGoldman SachsMorgan Stanley

34

Day 34

Coding · Probability

ProbabilitySIG / SusquehannaOptiver

Jump GameLeetCode

Algorithms & NumericalGoogleDE Shaw

35

Day 35

Statistics · Stochastic

Variance of a Scaled Variable

StatisticsGoldman Sachs

Expectation of GBM

Stochastic ProcessesGoldman SachsMorgan Stanley

36

Day 36

Calculus · Options

Eigenvalues of a 2×2

Calculus & Linear AlgebraGoldman SachsCitadel

Gamma Near Expiry

Options & GreeksOptiverIMC Trading

37

Day 37

Coding · Probability

Predict the WinnerLeetCode

Algorithms & NumericalJane StreetOptiver

ProbabilityJane StreetDE Shaw

38

Day 38

Brain teasers · Finance

Bridge Crossing

Brain TeasersGoogleJane Street

Risk-Neutral Probability

FinanceGoldman SachsJ.P. Morgan

39

Day 39

Coding · Portfolio

Kelly Criterion

Portfolio & RiskCitadelJane Street

LRU CacheLeetCode

Algorithms & NumericalTwo SigmaHRT

40

Day 40

Calculus · Options

Gaussian Integral

Calculus & Linear AlgebraGoldman SachsTwo Sigma

Options & GreeksOptiverSIG / Susquehanna

41

Day 41

Brain teasers · Probability

Expected Max of Two Dice

ProbabilityOptiverIMC Trading

Ants on a Triangle

Brain TeasersGoldman SachsOptiver

42

Day 42

Coding · Finance

Gordon Growth Model

FinanceGoldman SachsMorgan Stanley

Longest Increasing SubsequenceLeetCode

Algorithms & NumericalTwo SigmaDE Shaw

43

Day 43

Statistics · Stochastic

Correlation of X and X²

StatisticsTwo SigmaDE Shaw

Expected Flips for HTH

Stochastic ProcessesJane StreetSIG / Susquehanna

44

Day 44

Portfolio · Probability

VaR Time Scaling

Portfolio & RiskGoldman SachsMorgan Stanley

Russian Roulette — Spin?

ProbabilityJane StreetCitadel

45

Day 45

Calculus · Options

Derivative of xˣ

Calculus & Linear AlgebraJane StreetCitadel

Early Exercise of a Call

Options & GreeksGoldman SachsMorgan Stanley

46

Day 46

Coding · Brain teasers

Course ScheduleLeetCode

Algorithms & NumericalGoogleDE Shaw

Brain TeasersGoogle

47

Day 47

Finance · Probability

Implied Forward Rate

FinanceJ.P. MorganBarclays

Expected Min of Two Dice

ProbabilityOptiverSIG / Susquehanna

48

Day 48

Coding · Calculus

Number of IslandsLeetCode

Algorithms & NumericalGoogleTwo Sigma

Integral of x·e^(−x)

Calculus & Linear AlgebraGoldman SachsTwo Sigma

49

Day 49

Options · Statistics

Delta of an ATM Straddle

Options & GreeksOptiverIMC TradingSIG / Susquehanna

Covariance of a Linear Transform

StatisticsGoldman SachsAQR Capital

50

Day 50

Brain teasers · Stochastic

Random Walk — Expected Steps

Stochastic ProcessesJane StreetTwo Sigma

Brain TeasersGoldman SachsMorgan Stanley

51

Day 51

Finance · Portfolio

Forward Price with a Dividend Yield

FinanceJ.P. MorganCitadel

Minimum-Variance Weight

Portfolio & RiskAQR CapitalBlackRock

52

Day 52

Coding · Probability

Trapping Rain WaterLeetCode

Algorithms & NumericalJane StreetCitadel Securities

Poisson — No Arrivals

ProbabilityTwo SigmaJump Trading

53

Day 53

Coding · Calculus

Sliding Window MaximumLeetCode

Algorithms & NumericalHRTJump Trading

Integrate x·eˣ

Calculus & Linear AlgebraGoldman SachsMorgan Stanley

54

Day 54

Brain teasers · Options

Value of a Box Spread

Options & GreeksOptiverCitadel Securities

Brain TeasersJane StreetOptiver

55

Day 55

Finance · Probability

FX Forward by Interest Parity

FinanceGoldman SachsBarclays

Exponential Survival

ProbabilityDE ShawMorgan Stanley

56

Day 56

Coding · Statistics

Median of Two Sorted ArraysLeetCode

Algorithms & NumericalGoogleTwo Sigma

Variance of the Sample Mean

StatisticsTwo SigmaDE Shaw

57

Day 57

Portfolio · Stochastic

Expected Running Max of BM

Stochastic ProcessesGoldman SachsDE Shaw

Annualizing Sharpe

Portfolio & RiskTwo SigmaAQR Capital

58

Day 58

Calculus · Options

Maximize x^(1/x)

Calculus & Linear AlgebraJane StreetSIG / Susquehanna

Worst Case with a Protective Put

Options & GreeksBarclaysJ.P. Morgan

59

Day 59

Brain teasers · Finance

12 Balls, One Odd

Brain TeasersCitadelJane StreetTwo Sigma

Present Value of an Annuity

FinanceMorgan StanleyJ.P. Morgan

60

Day 60

Coding · Probability

Expected Max of Two Uniforms

ProbabilityJane StreetCitadel

Find Median from Data StreamLeetCode

Algorithms & NumericalTwo SigmaCitadel