[monte_carlo] updates and editorial suggestions

[longye-tian]

Related to Editorial suggestion #414, in particular,

Code

• Change global variables to default_param (i.e. default_μ).
• Distinguish the function name in the exercise solution and the one in the main text.

Content

• "we write this statement as" - > "We write this statement as"
• Capitalize only the first bullet point below: "This is the Monte Carlo method, which runs as follows:"
• change another lecture to myst doc link
• "Pricing a european call option under risk neutrality" -> "Pricing a European call option under risk neutrality"
• "Risk-Neutral Pricing" -> "Risk-neutral pricing"
• "$S_0$ is normally distributed" -> "$S_0$ is log-normally distributed"

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[mmcky]

Suggested change

	1. Generate $n$ independent draws of $X_1$, $X_2$ and $X_3$ on a computer,
	1. generate $n$ independent draws of $X_1$, $X_2$ and $X_3$ on a computer,

[mmcky]

@longye-tian I wonder if this would be better setup as a named tuple called defaults so that would then be referenced as defaults.μ as a tidier solution.

[mmcky]

thanks @longye-tian just had some questions re: variable choice.

[jstac]

Many thanks @longye-tian and thanks @mmcky for the review.

@mmcky 's suggestions are good but time is short so let's go ahead and merge this.