[x] Missing period in "The lecture will discuss one way to solve a “functional equation” for an unknown function".
[x] “functional equation” (the equation where the unknown object is a function).
[x] Add an internal link to IID.
[x] State that density function $\phi$ is defined on positive values.
[x] "supply is the sum of carryover by speculators and the current harvest" -> "supply is the sum of carryover by speculators and the current harvest, and".
[x] supply $=$ -> supply is given by.
[ ] Trying to explain the differences between $X$ and $x$ and better explain (25.5).
[ ] Explain what are $q_i$ $i \in \mathbb{N}$ under (25.8). Clarify that we wanna solve for (25.7), and we use (25.8) as an approximation (CC @jstac).
[x] Link Monte Carlo to the asset pricing lecture.
[ ] -Add axis label to the graph in section 25.2, e.g cotton price in USD
[ ] clarify the role of speculator in the market (25.2)
[ ] Might consider treating $\alpha$ as a more general factor rather than just simply the depreciation rate. Can potentially delete the phrase regarding depreciation
[ ] Explain why we are enforcing the no arbitrage condition (25.5.1)
[ ] Add a few sentence explaining the logic behind equation 25.2 (25.5.1)
[ ] Explain that market clearing happens when supply equals demand (25.5.1)
[ ] For section 25.2, introduce the idea that the method is an ansatz. Also consider adding a section explaining the what an ansatz is and why rigorous can still be achieved
[ ] I believe it was mentioned that P(x) in equation 25.5 is D inverse and should be explained, please correct me if I was wrong @pgrosser1
[ ] clarify that the second to last equation of section 25.2 is satisfied due to equation 25.5
[ ] Toward the end of section 25.5.2 mention the last part of the section is verifying the ansatz
[ ] -Add y-axis labels for the graphs in section 25.6
Comments by @SylviaZhaooo.
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