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[olg] Unfinished editorial suggestions #506

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SylviaZhaooo opened this issue Jul 8, 2024 · 1 comment
Open
10 tasks

[olg] Unfinished editorial suggestions #506

SylviaZhaooo opened this issue Jul 8, 2024 · 1 comment

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@SylviaZhaooo
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SylviaZhaooo commented Jul 8, 2024

These comments were initially made in the wrong place but should have been in the [olg] lecture.

Comments @Jiarui-ZH:

  • Specify the time t = 2 in the sentence"We assume that time is discrete, so that t = 0, 1, ..."

  • Clarify convoluted sentence: “Their financial income is from interest on their savings from wage income, which is then combined with the labor of the new young generation at t+1.”Old guys have savings, which is capital. Production usually needs savings (capital) and labor from young energetic guys (labor).

  • Clarify “We normalize the constant population size in each period to 1.”? We assume that the population is constant, so we normalize the population size to 1.

  • Delete “Since u is strictly increasing, both of these constraints will hold as equalities at the maximum.” Make inequalities equalities:
    image

    for equation 24.2

  • Clarify that R is gross interest rate r?

  • Rename “24.3.2. Example: log preferences” to special case (“24.3.2. Special case: log preferences”?)

  • Explain Equation 24.8 (the logic of it and what each element means)

  • Clarify that w_t and l_t in terms of Equation 24.8 and

image

  • Clarify Equation 24.11 where it stresses that aggregate demand for capital for time t+1, which we write as a function for the interest rate.
  • Clarify Equation 24.6
@SylviaZhaooo
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Second series of comments of Lecture 26:

  • For equation (24.14), stress that it is the equilibrium by replacing R_(t+1) with R_(t+1)^*, for example? Different from star sign because then, we will have too many stars.
  • Drop the image below:

image

But keep

image

  • Have the plots with multiple initial conditions. When k = 0, …

  • Have k* and the actual numbers
    image

  • List the motivation behind the CRRA preferences

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