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.

CalcForex (Exchange Rate Calculator)

CalcForex is a fast, reliable currency converter. Convert between multiple currencies with a clean keypad, saved custom rates, and clear results—online or offline.

Highlights

– Fast conversion between multiple currencies

– Manually set and save your preferred rates

– One‑screen workflow with big, readable numbers

– Works offline using your last or custom rates

– Privacy‑first: data stays on your device

What’s new

– Smoother keypad and editing

– Clearer rate management

– Performance and UI refinements

Who it’s for

Travelers, traders, and anyone who needs a focused tool for currency calculations without distractions.

Copyright © 2025 Joao Frasco. All rights reserved.

Pong Pin

This is a fun game for one and two players, or simply watch the computer play against itself. It’s a new style Ping Pong, with a couple of obstacles (pinball style). Your scores will be updated to Game Center for two different styles of games (most points or most games won against computer). The ball gets progressively faster making it difficult to last too long.

Copyright © 2025 Joao Frasco. All rights reserved.

SA Tax (South African Tax Calculator)

SATax is your complete South African tax companion, offering precise calculations for income tax, capital gains tax, retirement lump sums, and more. Compare tax years, adjust for inflation, visualize trends, and access historical SARS data—all with a clean, intuitive interface.

Highlights

– Comprehensive income tax calculations with age-based rebates and marginal/effective rates

– Capital gains tax estimates with exclusions and inclusion rates

– Retirement fund lump sum taxation for payouts and early withdrawals

– Tax year comparison side-by-side with inflation adjustment

– Historical tax tables from 2015-2026

– Interactive charts for tax evolution and rate visualization

– Real-time updates and smart input controls

– Privacy-first: all calculations local to your device

What’s New

Recent updates include a new tax comparison tab, inflation adjustment for real-term comparisons, interactive evolution charts, updated for the latest tax year, improved deductions/rebates, enhanced accuracy, and UI improvements.

Who it’s for

Individual taxpayers, professionals, freelancers, investors, retirees, and financial advisors who need accurate tax planning and insights.

Future directions/Notes

Future versions may include more tax types, export options, and integration with financial tools. Always consult a qualified tax professional for official advice.

Disclaimer: This app provides educational demonstrations using official SARS formulas. It is not a substitute for professional tax advice.

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.

MakeIcons for Mac (macOS)

MakeIcons is a very simple to use app for macOS that will produce a range of different size icons for Xcode developers to use in their app development. Simply create a large version of your icon using your favorite graphics app, and drop it onto the canvas. You can then either click a button to produce iOS and watchOS icons, or another button for macOS icons. You can also create any size icon you want as Apple introduces new icon sizes, without waiting for the latest version of the app to include these new sizes. It is fast and simple, and I have created an extra bonus whereby you can also create TabBar item icons. iOS icons are produced for more than 10 different sizes, at x1, x2, and x3 resolutions, and watchOS and macOS get x1 and x2 resolutions. You can then simply drag and drop all of the icons into Xcode, and they will all go into their appropriate image slot (you may need to make a few minor additions).

LearnGraphs for iPhone and iPad (iOS)

This app is great for scholars and parents wishing to understand graphs in mathematics. While there are many graphing calculators that allow you to graph many complex functions, this one focuses on teaching simple grade 10 math graphs in a really simple and visual way. Using sliders to change the values of variables, you can see the impact the variable has on the overall equation or function, as well as other interesting things like x and y intercepts and asymptotes. You will quickly grasp just how simple graphs are by watching them change shape and move around as the value of a variable becomes larger or smaller or goes from positive to negative, or zero. Even parents will wish they had this app when they went to school, as they too will grasp just how easy and fun math is.

Specifically, the following graphs are included:
1. Lines of the form y = mx+c or ax+b
2. Parabolas of the form y = ax^2+bx+c
3. Hyperbolas of the form y = a/(x+b)+c
4. Exponentials of the form y = ab^x+c
5. Trigonometric function (sin, cos, and tan) of the form y = a*sin(bx)+c or a*cos(bx)+c or a*tan(bx)+c

You can also pan around the graphs and pinch to zoom in and out, and just tap the graph to reset the pan and zoom.

Enjoy learning math graphs, and drop me an email if you would like me to include a couple of other graphs that you or or children are struggling with.

Speedometers for iPhone and iPad (iOS)

Speedometers is a really simple and beautiful speedometer for your truck, car, motorbike, or bicycle. It uses GPS on your iPhone or iPad to establish your speed, and shows this information graphically in a simple user interface. You can change the units from miles per hour to kilometres per hour and back, and change the top speed of the speedometer reading. You can also let your speed guide what the top speed shown should be.

FinCalc for iPhone and iPad (iOS)

This is an easy to use financial calculator with three different tabs, all slightly differently configured. There are no number buttons or settings. You simply drag a bunch of sliders around, and watch as your monthly instalment for car finance or home loans gets recalculated, as well as the graphs demonstrating the payment down of capital and total interest. The retirement calculator allows you flex many different parameters relating to savings towards retirement, including your current age and the age at which you plan to retire, as well as your real salary increases and real investment return. You can see how these and other parameters like your current savings, will affect how much you have at retirement as a multiple of your salary at retirement. You can also see a full payment or savings schedule, and each calculator has its own help / info screen. The app also includes force touch from the home screen, as well as for peeks and pops from within the app, utilising the latest iPhone and iPad features.