Distributions (Statistical)

Distributions is a visual guide to probability. Explore PDFs/PMFs and CDFs with live sliders, see how parameters reshape curves and tails, and build intuition with stats at a glance. It’s a calm, hands‑on way to make abstract ideas click.

Highlights

– Interactive charts for mass/density and cumulative functions

– Live parameter editing with sliders and text fields

– Mean, variance, skewness, and more—updated in real time

– Random sampling demo to see variability in action

– Examples and presets to jumpstart exploration

– Dark mode support

Coverage

– Discrete (finite): Bernoulli, Binomial, Discrete Uniform, Hypergeometric, Rademacher

– Discrete (infinite): Borel, Geometric, Negative Binomial, Poisson

– Continuous (finite): Beta, Uniform, Kumaraswamy

– Continuous (semi‑infinite): Chi‑squared, Exponential, F, Gamma, LogNormal, Pareto, Weibull

– Continuous (infinite): Cauchy, Laplace, Logistic, Normal, Standard Normal, Student t

What’s new

– More distributions and parameter presets

– Smoother charts, clearer statistics, and improved sampling demo

– UI and dark mode refinements, plus updated help

Who it’s for

– Students and teachers

– Analysts and anyone who learns best by seeing and tweaking

Copyright © 2025 Joao Frasco. All rights reserved.

OptionGreeks (Option Pricing & the Greeks)

OptionGreeks is an educational tool to help users understand option pricing. Options are derivative instruments, which can be traded on stock markets / exchanges around the world. They are derivatives in that their values and contracts are derived from the “price” of some other financial instrument (including individual shares, bonds, commodities, exchange rates, interest rates etc., or indices of these). Options come in many variants, but this app focuses on European options (only exercisable at expiry). It covers Calls and Puts, from the buyers (long) and sellers (short) perspectives.

The calculator will calculate the theoretical price of options, given the users choice of the relevant parameters which include the spot price of the underlying instrument, the strike price of the option, the risk-free interest rate (discount rate), the volatility of the underlying spot price, the yield of the underlying instrument, and the term to maturity (or expiry) of the option. It will also calculate the values of the “Greeks”, which includes delta, gamma, theta, rho, vega, and epsilon. It also displays all of these in charts against each of the underlying parameters.

Finally, it also includes many different option strategies (a combination of one or more options, as well as the underlying asset), so that you can see the payoff profile, profit and the greeks for these combinations.