Learn

Why a dollar today is worth more than a dollar tomorrow

Explore compounding, present and future value, and how inflation silently erodes returns. See how compounding and inflation shape nominal vs real growth over time.

Main takeaway: Most investors understand that nominal returns mean nothing without accounting for inflation — it's the real return that determines purchasing power.

How diversification reduces risk and what the market pays for

Explore the efficient frontier. Understand why diversification is the only free lunch.

Main takeaway: Most investors understand that combining uncorrelated assets can reduce risk without reducing expected return — diversification is the only free lunch in finance.

When trends have inertia

Understand why prices that move in one direction tend to keep going — and when that assumption breaks.

Main takeaway: Most investors understand that trends tend to persist — but also that this assumption works in some markets and fails in others.

When prices stretch too far

Explore the rubber-band effect — when prices deviate too far from their average and tend to snap back.

Main takeaway: Most investors understand the difference between a price stretched too far from its average and one adjusting to a new reality.

When two moving averages cross

See how crossovers between short and long-term averages have historically signaled trend shifts. Compare SMA vs EMA.

Main takeaway: Most investors understand that crossover signals involve trade-offs between speed and reliability — and that no signal works in all market conditions.

How strong is the trend, and where is the price?

Learn how the DMI measures trend strength and direction, and how the Trend Oscillator identifies overbought and oversold conditions. The same indicators used in our Analysis Pro view.

Main takeaway: Most investors understand that describing a trend's strength with data is more reliable than describing it with feelings.

Can past returns predict direction?

See how a statistical model uses lagged returns to attempt to predict market direction — and why it often fails on new data. Your first encounter with overfitting.

Main takeaway: Most investors understand that a model fitting past data perfectly is a warning sign, not a success — overfitting is the central risk of data-driven analysis.

Probability of up vs down

A model that uses 15 technical indicators to output probabilities instead of binary signals. Watch it train on real data and learn to distinguish signal from noise.

Main takeaway: Most investors understand that a model's confidence and its accuracy are not the same thing — the gap between them is where costly mistakes happen.

How a model discovers patterns through experience

Watch an agent train in real time. It takes actions, receives rewards, and gradually learns which patterns precede upward vs downward moves.

Main takeaway: Most investors understand that learning from experience requires honest feedback — RL agents get this automatically, humans must build the discipline.

Understanding call and put payoff diagrams

Visualize how calls and puts behave at expiration. Toggle between long and short positions, adjust strike and premium, and build intuition for risk profiles.

Main takeaway: Most investors understand that every position has a defined risk profile — options just make it explicit with a payoff diagram.

Five numbers that describe how an option behaves

Learn Delta, Gamma, Theta, Vega, and Rho one at a time with simple analogies and an interactive explorer. A foundation for understanding option pricing.

Main takeaway: Most investors understand that an option's risk isn't one number — it's five independent dimensions, each measuring sensitivity to a different market force.

How the Black-Scholes model prices calls

Select a real asset and explore how call option prices change with stock price, time, and volatility. Visualize all five Greeks interactively and watch time decay flatten the price curve.

Main takeaway: Most investors understand that an option's price depends on multiple moving parts — the Greeks quantify each sensitivity so the exposure is clear.

How puts work and how their Greeks differ from calls

Explore put option pricing with real market data. See why delta is negative, understand the cost of portfolio protection, and learn put-call parity.

Main takeaway: Most investors understand that protection has a price — put options make that cost explicit, and the Greeks help you understand what drives it.

Why single predictions are misleading

Run thousands of simulated portfolio trajectories. See percentile bands, probability of loss, and why honest predictions are distributions — not numbers.

Main takeaway: Most investors understand that honest predictions are ranges, not single numbers — a forecast without uncertainty bands is always oversimplified.