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Lesson 2

YES and NO are one book

Two buttons, one market. Every NO price is a YES price seen from the other side.

One contract, two ways to hold it

A YES contract pays $1 if the event happens and nothing if it does not. A NO contract pays $1 if it does not happen. Hold one of each and you are paid exactly $1 whatever happens.

So buying NO at q is the same position as selling YES at 1 − q. The exchange keeps a single book: a bid to buy YES at 47 cents is also an offer to sell NO at 53 cents.

The identity

YES ask + NO ask = 1 + spread

It always holds, because the NO ask is one dollar minus the YES bid. An example:

One book seen from both sides
SideBidAsk
YES$0.47$0.49
NO$0.51$0.53

The YES spread is 2 cents. YES ask plus NO ask is $0.49 + $0.53 = $1.02, which is $1 plus that same 2 cents. The NO bid of $0.51 is simply one dollar minus the YES ask.

Buying both sides under a dollar is impossible

A common idea is to buy YES and NO together for less than $1 and collect the dollar at settlement. On a single book it cannot work. Buying both at the ask costs 1 + spread, plus a taker fee on each side, for a payout of exactly $1. The loss is the spread plus two fees, every time.

What it means for reading the book