131 concepts · unlimited questions · worked solutions

Every concept, endless questions

Each concept is a small financial model. Read how it works, then draw a real interview question from it: forwards, backwards or what-if, with fresh numbers and a worked solution every time.

Career track
Topic
Question type

Forward runs a concept the usual way. Inverse runs it backwards, which is what separates understanding from memorizing.

View
2 conceptsPractice Mental Math

Mental Math

2 concepts

Fast percentages and fractions

Forward · 5Inverse · 1What if · 1Judgment · 1Easy–Medium

On a trading floor, percentages are done in your head and fast, and the trick is never to compute what you can recognize. 12.5% is an eighth; 17.5% is 10 plus 5 plus 2.5; a 25% rise needs a 20% fall to undo, because the fall is measured from a bigger number. Basis points are just hundredths of a percent. Knowing a handful of fractions cold — sevenths, ninths, elevenths, sixteenths — turns most of these into recall rather than arithmetic, and leaves your attention for the actual question.

Rule of 72 and quick compounding

Forward · 4Inverse · 1What if · 1Judgment · 1Easy–Medium

Compounding is hard to do in your head and easy to count in doublings. Money growing at r percent a year doubles in about 72 ÷ r years, because ln 2 is 0.693 and ln(1 + r) is a little under r — 72 rounds the gap and has lots of divisors. Once you think in doublings, "8% for 27 years" becomes "three doublings, so eight times". The rule is best around 8%; it runs slightly long for low rates and slightly short for high ones, which is worth knowing before you quote it to a client.