In this module, we take you on a journey to imagine and visualise the relationship between risk and return, those quarrelsome and often misunderstood siblings of the investment world. You will see them in an entirely different light by the end of this trip.

We discover the many-sided nature of this relationship through imagination, visualisation, simulation and analysis. We learn that risk and return are euphemisms for fear and greed, and that far from being a scary monster, risk is the driver of return: without risk, there is little or no return. Risk is best viewed through statistics and event probability, visualised as a range of probable return outcomes around an average value.

Is the glass half full or half empty? That is the question.

Understanding Risk Profiling examines the diversity of human perception, and particularly the paradox that the same investment may appeal to one investor while being equally unattractive to another. Personal preferences play a key role in assessing investment prospects, and must be layered on top of the already complex relationship between risk and return.

This course explores this seemingly contradictory aspect of human nature through principles originally developed by the 18th-century Swiss mathematician and physicist Daniel Bernoulli, using an imaginary game of chance he called the "Saint Petersburg Paradox." You can play a similar game to find out your risk score and discover whether your profile is what you thought it would be.

Understanding Diversification explores the age-old wisdom of not putting all your eggs in one basket. But are all eggs and all baskets created equal, and how many eggs should go in a basket anyway?

To answer these questions, we trace the steps of a mysterious medieval figure whose fortunes have finally turned and who now has a windfall to invest in the property market. We begin with the mathematics of a simple diversification strategy and progress to event probability using a game of dice, elaborating on the deeper nuances of diversification and their implications for modern portfolio construction and management.

Understanding Asset Classes continues the theme of diversification by focusing on the building blocks of investing, namely the many types of "egg baskets" and their classification and characteristics. These include cash, stocks, bonds, property and commodities, along with more exotic and less tangible instruments such as options and futures.

We focus on stocks and bonds and examine their behavioural traits, including historical risk and return profiles, the factors that make them tick, their sensitivity to market and economic events, and the unique inverse relationship between them that makes these instruments such amicable partners in portfolio construction.

We discover that, far from being homogeneous groups, stocks and bonds come in many shades of grey, and their spectrum of risk and return is wider than you might imagine. We also put property under the microscope, applying tried and tested criteria to selecting an investment property to buy.

Understanding Portfolio Construction is the stage on which all the actors introduced in Modules 1-4 can interact and perform. Risk and return take on new personas and asset classes begin to behave differently than when they were in isolation: normally rambunctious stocks can exert a moderating influence on the crowd, while introverted bonds can emerge as the catalyst for many a convivial conversation.

Asset classes are social animals, and their personality transforms in a portfolio setting. Our preferences as to which of these characters we wish to mingle with, in what combination, and for how long add yet another dimension to the complexity.

Modern Portfolio Theory (MPT) describes these transformations, interactions and permutations in the context of an investment portfolio. One peculiarity is that adding a risky asset to a portfolio can actually reduce overall risk, which many find counter-intuitive. Another key insight is that a portfolio of two or more risky assets can be engineered to maximise return for a given level of risk, or minimise risk for a given level of return. Only a finite set of such portfolios exists, and collectively they trace out a curve known as the Efficient Frontier.

Understanding the Magic Black Box is a revealing glimpse into an essential tool of our study program: the silent engine that works tirelessly behind the scenes to generate the dynamic numbers that let us create graphs, tables and diagrams illustrating key investment concepts.

We call it the "Magic" Black Box because of its diverse abilities, from generating random numbers to support visualisation to performing simulations and producing probabilistic scenarios and forecasts. It is a versatile computational tool that helps demystify a subject many find mysterious.