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Lesson 1 of 10

ETFs and fair value

What an ETF is, and the one number a market maker quotes around: fair value.

An exchange-traded fund (ETF) is a single security that holds a basket of other securities. You buy or sell one ETF share on an exchange and, underneath, own a slice of every name in the basket. It trades intraday like a stock but represents the whole basket, so its price should track what the basket is worth.

That "what it is worth" number is the ETF's fair value (its theoretical price). In this trainer each ETF backs a fixed number of units, called its index ratio, so fair value is just the basket's market cap spread over those units:

\[ \text{fair value} = \frac{\text{basket market cap}}{\text{index ratio}} \]
Why it matters
Everything a market maker does starts from fair value. You quote a bid below it and an ask above it, you hedge to lock it in, and you arbitrage when the market strays from it. Get comfortable computing it instantly.
Try it
mcap
200
mcap
120
mcap
60
Basket mcap
380
Index ratio
10
Fair value
38
Worked example

A basket worth \(2000\) backed by an index ratio of \(10\) has a fair value of \( 2000 / 10 = 200 \). If a stock in it gains \(50\) of market cap, the basket is \(2050\) and fair value becomes \( 2050/10 = 205 \).

In the interview
What they are testing
That you can turn a basket of holdings into a single per-unit price quickly and without a calculator.
How to narrate it
Say it out loud: "Fair value is basket market cap over the index ratio, so 900 over 9 is 100." State the formula, then the number.
Common mistake
Confusing market cap (price times shares) with price. Fair value comes from the total market cap of the basket, not any single stock price.
Quick check

A basket has a market cap of 900 and an index ratio of 9. What is the ETF's fair value?