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4 changes: 2 additions & 2 deletions lectures/monte_carlo.md
Original file line number Diff line number Diff line change
Expand Up @@ -342,7 +342,7 @@ Now let's price a European call option.

The option is described by three things:

2. $n$, the **expiry date**,
1. $n$, the **expiry date**,
2. $K$, the **strike price**, and
3. $S_n$, the price of the **underlying** asset at date $n$.

Expand Down Expand Up @@ -554,7 +554,7 @@ distribution of $S_n$.

So to compute the price $P$ of the option, we use Monte Carlo.

We average over realizations $S_n^1, \ldots, S_n^M$ of $S_n$ and appealing to
We average over realizations $S_n^1, \ldots, S_n^M$ of $S_n$ and appeal to
the law of large numbers:

$$
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