Add Consumption Smoothing Lecture

[HumphreyYang]

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[jstac]

Add link to pv in "Present value formulas are at the core of the models."

Present value formulas are...

[jstac]

I suggest we drop arrows to be consistent with other lectures ($c$ or $\{c_t\}$ is the vector and $c_t$ is an element of the vector).

[jstac]

Code lines should be 80 characters or less:

ConsumptionSmoothing = namedtuple( "ConsumptionSmoothing", ["R", "g1", "g2", "β_seq", "T"]) 

[jstac]

"Multiplying both sides by inverse of the matrix on the left provides the solution"

It's not so obvious that the inverse is in fact the inverse. Maybe add an unsolved exercise here that calls the matrix $A$ and the inverse $A^{-1}$ and asks the reader to check that $A A^{-1} = I$.

[jstac]

"21.2.2. Second order difference equation"

I think we should state the equation before we show the matrix version.

[jstac]

"Note to John: We can do some fun simple experiments with these variations – we can use graphs to show that, when
and starting from the smooth path, all nontrivial budget-feasible variations lower welfare according to the criterion above."

I think this can be removed now?

[jstac]

Nice job @HumphreyYang, many thanks! Please see the minor comments above.

@realjiachengli We plan to go live and include this lecture on the 5th. If you have edits to add please do so before then, if you can.

[HumphreyYang]

Many thanks @jstac ,

I have updated the PR to reflect your review. I also notice some other very minor typos. Please kindly review my edits.

Add link to pv in "Present value formulas are at the core of the models."

Present value formulas are...

I will add this once the present value lecture is merged.

If it looks good to you, I will remove all the

+++ {"user_expressions": []} 

and hand it over to you to merge. I will move on to cagan_ree as I promised Tom to get it ready as well.

Many thanks in advance.

[jstac]

Nice work @HumphreyYang , well done.

Please proceed and ping me when you are ready for me to merge.

[jstac]

Ah, just merged by accident --- sorry, I was on autopilot.

@HumphreyYang , you can leave those +++ {"user_expressions": []} --- let's worry about them later. I think this is good as is.