Guides & Lessons
85 free in-depth guides covering UK tax, investing, trading, maths revision and quantitative finance. Jump to a section or browse them all.
Tax & Finance
15Income Tax Bands Explained
Personal allowance, basic, higher and additional rate for 2025/26.
Read guide โNational Insurance Guide
Class 1, 2 and 4 NI contributions and thresholds.
Read guide โHow PAYE Works
Tax codes, cumulative vs week-1, emergency codes.
Read guide โSelf-Assessment Guide
Who needs to file, deadlines, payments on account.
Read guide โPension Tax Relief
Relief at source vs net pay, annual and lifetime allowances.
Read guide โSalary Sacrifice Explained
How it works, what you can sacrifice, tax and NI savings.
Read guide โDividend Tax Guide
Allowance, rates, and optimal salary/dividend split.
Read guide โCapital Gains Tax Guide
Annual exempt amount, rates, reliefs and reporting.
Read guide โInheritance Tax Guide
Nil-rate band, residence nil-rate band, gifts and trusts.
Read guide โStamp Duty Guide
SDLT thresholds, first-time buyer relief, surcharges.
Read guide โVAT Registration Guide
Thresholds, flat rate scheme, voluntary registration.
Read guide โCorporation Tax Guide
Small profits rate, main rate, marginal relief calculation.
Read guide โIR35 Explained
Inside vs outside, CEST tool, status determination.
Read guide โChild Benefit & HICBC
Rates, high-income charge, opting out.
Read guide โMarriage Allowance Guide
Eligibility, how to apply, backdating claims.
Read guide โInvesting & Money
20ISA Guide 2025/26
Cash, stocks & shares, LISA, JISA allowances and rules.
Read guide โPower of Compound Interest
How compounding works and why starting early matters.
Read guide โIndex Fund Investing
Low-cost tracker funds, global diversification, platforms.
Read guide โETF Guide for Beginners
How ETFs work, accumulating vs distributing, costs.
Read guide โBonds & Gilts Explained
Government gilts, corporate bonds, yield and duration.
Read guide โProperty Investment Guide
Buy-to-let, HMOs, yields, financing strategies.
Read guide โBRRR Strategy Guide
Buy, refurb, refinance, rent โ step by step.
Read guide โEmergency Fund Guide
How much to save, where to keep it, best accounts.
Read guide โBudgeting Methods
50/30/20, zero-based, envelope system compared.
Read guide โDebt Payoff Strategies
Snowball vs avalanche, balance transfer, consolidation.
Read guide โFirst-Time Buyer Guide
Saving a deposit, HTB, shared ownership, mortgage tips.
Read guide โPension Planning Guide
Workplace, SIPP, drawdown, annuity options.
Read guide โFinancial Independence
FIRE numbers, safe withdrawal rate, coast FI.
Read guide โInvesting Psychology
Behavioural biases, loss aversion, staying the course.
Read guide โTax-Efficient Investing
ISA, pension, CGT allowance, bed and ISA.
Read guide โDividend Investing
Yield, cover, aristocrats, reinvestment.
Read guide โPortfolio Rebalancing
When and how to rebalance, threshold vs calendar.
Read guide โUnderstanding Risk Tolerance
Capacity, attitude, time horizon and asset allocation.
Read guide โInvestment Platform Comparison
Fees, features, best for ISA, SIPP, GIA.
Read guide โDollar-Cost Averaging
Lump sum vs regular investing, pros and cons.
Read guide โTrading School
20Lesson 1: What Is Trading?
Markets, instruments, and the difference from investing.
Read guide โLesson 2: Market Structure
Exchanges, order books, bid-ask spread.
Read guide โLesson 3: Chart Types
Candlestick, bar, line charts and timeframes.
Read guide โLesson 4: Support & Resistance
Key levels, breakouts, and fakeouts.
Read guide โLesson 5: Trend Analysis
Uptrend, downtrend, moving averages.
Read guide โLesson 6: Volume Analysis
Volume confirms price, divergence signals.
Read guide โLesson 7: Candlestick Patterns
Doji, hammer, engulfing, morning star.
Read guide โLesson 8: Chart Patterns
Head and shoulders, triangles, flags.
Read guide โLesson 9: Moving Averages
SMA, EMA, crossovers, golden/death cross.
Read guide โLesson 10: RSI & Momentum
Relative strength index, overbought/oversold.
Read guide โLesson 11: MACD
Signal line, histogram, divergence trading.
Read guide โLesson 12: Bollinger Bands
Volatility, squeeze, mean reversion.
Read guide โLesson 13: Fibonacci Retracements
Key levels, extensions, confluence.
Read guide โLesson 14: Risk Management
Position sizing, stop-loss, risk-reward ratio.
Read guide โLesson 15: Trading Psychology
Fear, greed, discipline, journaling.
Read guide โLesson 16: Order Types
Market, limit, stop, trailing stop orders.
Read guide โLesson 17: Backtesting
Testing strategies on historical data.
Read guide โLesson 18: Building a Trading Plan
Rules, entry/exit criteria, review process.
Read guide โLesson 19: Common Mistakes
Over-trading, revenge trading, ignoring stops.
Read guide โLesson 20: Next Steps
Paper trading, demo accounts, going live.
Read guide โMaths Revision
20Number Basics
SATsPlace value, ordering, rounding, estimation.
Read guide โFractions Guide
SATsEquivalent fractions, operations, mixed numbers.
Read guide โDecimals & Percentages
SATsConverting, ordering, percentage of amounts.
Read guide โRatio & Proportion
GCSESimplifying, sharing, direct and inverse proportion.
Read guide โAlgebra Basics
GCSEExpressions, substitution, simplifying terms.
Read guide โSolving Linear Equations
GCSEOne-step, two-step, equations with brackets.
Read guide โQuadratic Equations
GCSEFactorising, formula, completing the square.
Read guide โSimultaneous Equations
GCSEElimination, substitution, graphical method.
Read guide โGeometry & Angles
GCSEAngle rules, parallel lines, polygons.
Read guide โPythagoras' Theorem
GCSEFinding sides, 3D Pythagoras, proofs.
Read guide โTrigonometry Basics
GCSESOH CAH TOA, finding angles and sides.
Read guide โProbability Guide
GCSESingle events, tree diagrams, conditional.
Read guide โStatistics Guide
GCSEMean, median, mode, range, interquartile range.
Read guide โStandard Deviation
A-LevelVariance, SD for samples and populations.
Read guide โDifferentiation
A-LevelFirst principles, power rule, chain rule.
Read guide โIntegration
A-LevelReverse of differentiation, definite integrals, area.
Read guide โBinomial Distribution
A-LevelnCr, probability, mean and variance.
Read guide โNormal Distribution
A-LevelZ-scores, standard normal, inverse normal.
Read guide โHypothesis Testing
A-LevelNull and alternative, significance levels, conclusions.
Read guide โVectors
A-LevelColumn vectors, magnitude, direction, scalar product.
Read guide โQuant & Coding
15Python for Finance
Setting up, NumPy, pandas, basic analysis.
Read guide โData Analysis with Pandas
DataFrames, cleaning, merging, time series.
Read guide โFinancial Charts
Matplotlib, candlestick charts, custom styling.
Read guide โStatistics in Python
Descriptive stats, distributions, scipy.stats.
Read guide โMonte Carlo Simulation
Random walks, portfolio simulation, VaR.
Read guide โBlack-Scholes Model
Option pricing, the Greeks, implied volatility.
Read guide โModern Portfolio Theory
Efficient frontier, Sharpe ratio, optimisation.
Read guide โLinear Regression
OLS, R-squared, multiple regression, residuals.
Read guide โTime Series Analysis
Stationarity, ARIMA, forecasting.
Read guide โRisk Metrics
VaR, CVaR, Sortino ratio, max drawdown.
Read guide โBacktesting in Python
Strategy testing, performance metrics, pitfalls.
Read guide โML for Finance
Classification, regression, random forests, XGBoost.
Read guide โNeural Networks Intro
Perceptrons, backpropagation, TensorFlow basics.
Read guide โFinancial Data APIs
Yahoo Finance, Alpha Vantage, FRED, web scraping.
Read guide โAlgorithmic Trading
Event-driven systems, execution, live deployment.
Read guide โ