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The Solow Model and the Steady State 

Marginal Revolution University
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Remember our simplified Solow model? One end of it is input, and on the other end, we get output.
What do we do with that output?
Either we can consume it, or we can save it. This saved output can then be re-invested as physical capital, which grows the total capital stock of the economy.
There's a problem with that, though: physical capital rusts.
Think about it. Yes, new roads can be nice and smooth, but then they get rough, as more cars travel over them. Before you know it, there are potholes that make your car jiggle each time you pass. Another example: remember the farmer from our last video? Well, unless he's got some amazing maintenance powers, in the end, his tractors will break down.
Like we said: capital rusts. More formally, it depreciates.
And if it depreciates, then you have two choices. You either repair existing capital (i.e. road re-paving), or you just replace old capital with new. For example, you may buy a new tractor.
You pay for these repairs and replacements with an even greater investment of capital.
We call the point where investment = depreciation the steady state level of capital.
At the steady state level, there is zero economic growth. There's just enough new capital to offset depreciation, meaning we get no additions to the overall capital stock.
A further examination of the steady state can help explain the growth tracks of Germany and Japan at the close of World War II.
In the beginning, their first few units of capital were extremely productive, creating massive output, and therefore, equally high amounts available to be saved and re-invested. As time passed, the growing capital stock created less and less output, as per the logic of diminishing returns.
Now, if economic growth really were just a function of capital, then the losers of World War II ought to have stopped growing once their capital levels returned to steady state.
But no, although their growth did slow, it didn't stop. Why is this the case?
Remember, capital isn't the only variable that affects growth. Recall that there are still other variables to tinker with. And in the next video, we'll show two of those variables: education (e) and labor (L).
Together, they make up our next topic: human capital.
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19 авг 2024

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Комментарии : 205   
@statisticallylaura
@statisticallylaura 4 года назад
I've never seen macroeconomic models being brought to life and thus made as understandable as it's done here. Thank you for all the work!
@alexandremuller1806
@alexandremuller1806 Год назад
Brought to life ??? This model has nothing to do with real life, such as all neoclassical economics
@virgogroovee
@virgogroovee 2 года назад
i be paying all that fkn money in college just to understand nothing and eventually come here and study with these nice guys. well, when i graduate, I will have a whole letter saved for youtube professors. we love and appreciate you so much
@kaolonly
@kaolonly 7 лет назад
your animation team rocks!!!
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 7 лет назад
Thank you! -Roman
@m.c.4425
@m.c.4425 2 года назад
Big THANK YOU from Germany. You explained it SO well. I could understand it a bit in my university class, but I got confused often. With this video, it is much more understandable! bless
@artistayeshagm3037
@artistayeshagm3037 6 месяцев назад
I always fall asleep studying Economics or when Economics is being taught but you SIR, explain it amazingly well. I AM GLAD!
@bananachuck124
@bananachuck124 7 лет назад
The way you all illustrate this model is brilliant. Thank you so much for doing this!
@vtangg
@vtangg 6 лет назад
You guys made the concept so much easier to understand, my macro econ prof can't relate... Thanks so much!
@PunmasterSTP
@PunmasterSTP 2 года назад
Hey how'd the rest of your econ class go?
@duthegee
@duthegee 4 года назад
the quarantine brought me here since my professor doesn't want to do Zoom or upload lectures
@bubsilluminated5828
@bubsilluminated5828 4 года назад
Jungbae Eriel fun fact, mine is still expecting an essay on this without having taught it to us.
@MrRushSkies
@MrRushSkies 4 года назад
Ugh same got assignment about Solow model. But I got to tell, its really interesting.
@zachstack3133
@zachstack3133 4 года назад
The actual calculus for the Solow model is quite simple and quite beautiful. One of the reasons I love economics.
@abigaila9196
@abigaila9196 6 лет назад
I love this, the sheer simplicity and expression to explain complex ideas.
@omicron942
@omicron942 7 лет назад
That was really good, very entertaining and informative video. I've been struggling with understanding the Solow model, and I've got my final tomorrow. I'm pretty sure that finding this video has saved me some points! Thanks.
@PunmasterSTP
@PunmasterSTP 2 года назад
I know this was years ago, but I just came across your comment and was curious. How did your final go?
@stephaniemuller5500
@stephaniemuller5500 7 лет назад
such cute sounds, it's really fun to watch!!
@angelasings24
@angelasings24 7 лет назад
i've got my macro test tomorrow, wish me luck guys!!!
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 7 лет назад
Good luck, Angela! You'll ace it. :) -Meg
@The_Rebellution
@The_Rebellution 7 лет назад
same here
@jamoliddinfakhriddinov9436
@jamoliddinfakhriddinov9436 6 лет назад
what did you get on ur test?
@cindysalamanderski4838
@cindysalamanderski4838 6 лет назад
angelasings24 what did you get on it?
@feynstein1004
@feynstein1004 5 лет назад
Hey. How'd it go?
@oskarskjold2847
@oskarskjold2847 Год назад
best explanation channel I have seen so far and not only inn contex of macro but everything
@planet_unhuman
@planet_unhuman 8 лет назад
really helpful... it's so easy to understand all those things. how easily you explain all the key things... thank you...
@erfansdad2032
@erfansdad2032 Год назад
i paid 9k to try understand this at uni i’ve been to 3 2 hour lectures and 2 1 hour tutorials and i SWEAR TO GOD i’ve been clueless until i stumbled on this 7 minute video.
@Karina00K
@Karina00K 7 лет назад
Thank god for this video. It's so clear now!
@TheDavidlloydjones
@TheDavidlloydjones 6 лет назад
Spuriously so.
@nicoderechte442
@nicoderechte442 4 года назад
Test tomorrow, your vids really help a lot, thank you!
@daughterofgorgias7235
@daughterofgorgias7235 9 месяцев назад
I LOVE YOU GUYS SO MUCH. YOU ARE THE BEST. I'M LITERALLY JUST A DEPRESSED STUDENT TRYING TO LEARN TOPICS FOR THE EXAM BUT YOU MAKE EVERYTHING BETTER AND ACTUALLY MAKE ME WANT TO LEARN MORE NOT JUST FOR THE EXAM BUT JUST FOR THE SAKE OF LEARNING. I LOVE YOU GUYS SOOOOO MUCH
@pritysinha1081
@pritysinha1081 Год назад
Thank you very much for this fantastic explanation of the Solow growth model. I have always struggled with growth models, and this is the best explanation. Thank you again!
@joshuaokafor8899
@joshuaokafor8899 Год назад
I love this wonderful story
@aryaanil2192
@aryaanil2192 2 года назад
Can we all take a moment to appreciate the amazing graphics
@titohdw4629
@titohdw4629 2 года назад
cant believe that there is such a good explanation like this
@noelor8999
@noelor8999 2 года назад
Exceptional videos! Can't stop viewing them one after one. Helped me in grasping these concepts. Thanks Professors!
@alam_tapia
@alam_tapia 3 года назад
SUCH A GREAT PROFESSOR, ANIMATION, EXPLANATION, EVERYTHING!!! MANY THANKS! PLEASE KEEP DOING IT! :)
@MK-ql8df
@MK-ql8df 6 лет назад
dude, my words cant describe how happy I am to find ur videos
@tanisah_mansour5972
@tanisah_mansour5972 7 лет назад
did not have any idea but watching this video, I already feel like a pro
@elladunham6518
@elladunham6518 3 года назад
I am about to take my last economics exam and university and have only just found this channel!! its so useful thanks so much!
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 3 года назад
Good luck! -Roman
@ilsucicek2799
@ilsucicek2799 Год назад
thank you thank you thank you !!!! saved me so much time, visual understanding is the best
@tanhuynh2176
@tanhuynh2176 7 лет назад
Great video, just saw this video after reading Blanchard's macroeconomics and it complements perfectly.
@RebeccaEd
@RebeccaEd 6 лет назад
Thank you! Advanced macroeconomics is my last course before getting my master's. I feel completely clueless after two years of studying journalism, these videos are really helping me get back into it.
@PunmasterSTP
@PunmasterSTP 2 года назад
Hey I know this was years ago, but how did the rest of your master's go?
@RebeccaEd
@RebeccaEd 2 года назад
@@PunmasterSTP Actually I got a 5/5 on that last course after a lot of work and then I graduated.
@PunmasterSTP
@PunmasterSTP 2 года назад
@@RebeccaEd I'm really glad to hear that! Btw, are you working in journalism now?
@RebeccaEd
@RebeccaEd 2 года назад
@@PunmasterSTP I'm studying animal training now. Mainly assistance dogs. Interested in misinformation research. What are you up to?
@PunmasterSTP
@PunmasterSTP 2 года назад
@@RebeccaEd That’s really cool! To clarify, are you interested in misinformation research as it pertains to assistance dogs, or misinformation research in general? Either way I think that’s neat. I do a fair amount of tutoring in different subjects online, and I try to read up on related material. Two of my subjects are intermediate micro and macro, and I came across some questions on the Solow model recently. So I found myself here…
@sillylun520fung3
@sillylun520fung3 7 лет назад
thank you very much for the excellent videos. they made my concept clear, and this even better than attending my degree class
@PunmasterSTP
@PunmasterSTP 2 года назад
I was just curious; how'd the rest of your class go?
@juliechen8710
@juliechen8710 Год назад
Great videos and explanations! I wish macro were this interesting and easy to understand in school.
@SR-pw6pi
@SR-pw6pi 3 года назад
God! My book is really nothing compared to this animation video. Thanks. Keep growing.
@PunmasterSTP
@PunmasterSTP 2 года назад
Steady state? More like "Stupendous and great!" Thanks for putting together a collection of such high-quality videos.
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 2 года назад
Glad you enjoyed it!
@sarazivadinovic3438
@sarazivadinovic3438 6 лет назад
amazing work!
@marwanalrabea1740
@marwanalrabea1740 3 года назад
Thanks for this great explanation, better than the book
@AMITKUMAR-nf8in
@AMITKUMAR-nf8in 8 лет назад
awesome series.. i have completed one... learned alot.. thanks
@TheDavidlloydjones
@TheDavidlloydjones 6 лет назад
And some of it no doubt is true.
@swagataroychowdhury1078
@swagataroychowdhury1078 6 лет назад
This is so helpful! Thank you!
@pac_0183
@pac_0183 3 года назад
You have no idea how helpful this was
@kpascual4923
@kpascual4923 5 лет назад
This is incredibly helpful. Thank you so much!
@saram744
@saram744 6 лет назад
thank you so much professors
@alparslankorkmaz2964
@alparslankorkmaz2964 3 года назад
Nicely explained.
@vogel6345
@vogel6345 5 месяцев назад
Could've shown a 5 year old this and he would've understood this model. Great video!
@Ace96rose
@Ace96rose 6 лет назад
easy, fast and very understandable, keep up the good work!
@juvieus2370
@juvieus2370 6 лет назад
awesome explanation and visualization. thanks a lot it will surely help me
@chrisws6552
@chrisws6552 7 лет назад
Thank you very much :) your videos are really good! Much appreciated :)
@DiveInDreams
@DiveInDreams 2 года назад
This explanation is so great! It really helped me! Thank you so much!
@B1SQ1T
@B1SQ1T 5 лет назад
I was trying to find a video explaining the Steady State theory for astrophysics... ended up watching an economics video lol
@daahmandaahman7977
@daahmandaahman7977 4 года назад
Great video, the animations and explanations really help :)
@satyapraneethkatta1652
@satyapraneethkatta1652 4 года назад
You guys rock every video is awesome and I love it ! Great Job Guys
@shahzaibmushtaq3539
@shahzaibmushtaq3539 4 года назад
Thank you for all your posts! :)
@kleinrietje9615
@kleinrietje9615 4 года назад
this the best explanation ever
@nancysuman6991
@nancysuman6991 4 года назад
This video helped me understanding the concept so well
@beboysub
@beboysub Год назад
Thank You ❤
@teixeirao
@teixeirao 3 года назад
great video. thank you very much!
@iGore292
@iGore292 7 лет назад
Very good and easy explanation. But I missed one part. After watching your video, one might think that saving more can lead to an infinite increase of output. You have to mention consumption on the other hand. So, a higher saving rate increases output, but only a smaller portion of this higher output is consumed.
@nunoovidigal
@nunoovidigal 6 лет назад
I would argue that's implicit my friend Igor. He did mention in the beginning at 1:05 Consumption and Savings being the only two possible consequences of created Output. Plus, saving more (investing) could never lead to an infinite increase of Output. This is easily seen if in an hypothetical scenario, you attribute all Output to Savings. It would indeed increase the output level until a new steady point where the depreciation curve meets the original output curve y=√K. Thus, my point being, that Output could never be infinite: You would end up with a higher level of output on a new steady state of Output which would curiously be the steady state of Capital too :D of course, this non-consumption scenario would be completely unrealistic!
@yarpen26
@yarpen26 6 лет назад
No matter how hard you try, you can't simply keep saving until the day the universe blows up. Even if you disregard all your non-essential needs (which would curb the growth in its own right anyway), at some point you will have to direct at least some portion of revenue into immediate consumption rather than future investment.
@Hasnainkhalid300
@Hasnainkhalid300 5 лет назад
U great people,,, this vedio open my mind and i understand... i appreciate u alot,,, and your teaching method is soo good... i think not good its excellent,,,, i learn more things of it
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 5 лет назад
Thank you - keep going! Roman
@hamilton9076
@hamilton9076 2 года назад
But your explanations and animation are just great!🙏🏻
@hendrik821
@hendrik821 2 года назад
this video very helpful, thanks sir
@nthabelengmothokho3736
@nthabelengmothokho3736 3 года назад
you just helped me write my whole assignment.. thank you
@angelittatrofimova3912
@angelittatrofimova3912 5 лет назад
Such a great video and explanation!
@ivan09182000
@ivan09182000 3 года назад
The video editing is lit🔥🔥🔥
@TommyK194
@TommyK194 6 лет назад
amazing explanation to such a tricky topic in economics!
@alparslankorkmaz2964
@alparslankorkmaz2964 3 года назад
Nicely explained
@That_AboElHamd
@That_AboElHamd 6 лет назад
Thank you so much for this video you guys are awesome
@user-me6oc4mb3e
@user-me6oc4mb3e 7 лет назад
thank you soooo much!!! you are just great! explanation is so easy!!
@jbfanclub1
@jbfanclub1 Год назад
This is the first time I've understood how 'investment' actually works in this model.
@petrmasek4506
@petrmasek4506 3 года назад
FANTASTIC!
@paolavarelaperez3555
@paolavarelaperez3555 4 года назад
Thank you so much! You explain so good :D
@murdock5537
@murdock5537 2 года назад
Amazing! Steady state is key :-)
@onepercentmilk5440
@onepercentmilk5440 4 года назад
lemme just say that you explained this so much better than my proff its disgusting.
@zdzislawnajmrocki4739
@zdzislawnajmrocki4739 2 года назад
Thanks Sir !! You do Great job
@chantevanwyk5103
@chantevanwyk5103 3 года назад
Im watching this video while writing my test as an example for my explanation 😅
@nkate1921
@nkate1921 5 месяцев назад
thank you bestie this helped sooo much
@zhandauletduisen
@zhandauletduisen 3 года назад
damn this is so high-quality content
@misamisa712
@misamisa712 6 лет назад
Thank you so much! It was really useful. I like that description with all the useful links, but could you also make links for previous lessons? That would be great.
@gracekingsly9462
@gracekingsly9462 6 лет назад
Thank you sir. Understood clearly
@jenzhou7670
@jenzhou7670 4 года назад
this video is really helpful!
@saranshgokhale8298
@saranshgokhale8298 4 года назад
Beautiful video, subscribed!
@elbandidonetwork174
@elbandidonetwork174 7 лет назад
Great, thank you!
@superherochris11
@superherochris11 5 лет назад
Thank you for the video! It helps a lot:)
@present1forever
@present1forever 6 лет назад
excellent explanation
@masihullahjan1244
@masihullahjan1244 6 лет назад
You guys are amazing. please upload Ramsey cass kopman model, Diamond models, DSG models etc.
@messididit
@messididit 3 года назад
thank you!
@29783LSE
@29783LSE 2 года назад
Amazing video!!! Super helpful =)
@rajsampat7413
@rajsampat7413 5 лет назад
thanks, you cleared my doubts.
@Whatssplus
@Whatssplus 4 года назад
Sir you are awesome ... Love from Pakistan ❤️
@sonder2075
@sonder2075 4 месяца назад
Thanks!!
@albangiojaf2228
@albangiojaf2228 7 лет назад
i love your channel. please keep posting. i subsribed and liked
@jasondrm15
@jasondrm15 5 лет назад
This is an excellent explanation. Thaankk youuu sirr
@juantabares9743
@juantabares9743 Год назад
Excelent video
@thiagoluz1052
@thiagoluz1052 6 лет назад
I'm really happy for finding your channel! my macroeconomist professor studied in Japan, and He is PhD, but he doesn't know how to explain that well, he sucks! I could kick the college and study by your videos, but I need the certificate. 😂Im from Brazil
@mannatkalra7174
@mannatkalra7174 3 года назад
Amazing!
@fancyson8715
@fancyson8715 3 года назад
Thank you, you saved me !!!
@MarginalRevolutionUniversity
@MarginalRevolutionUniversity 3 года назад
Glad it helped! -Roman
@sullyflynn8746
@sullyflynn8746 6 лет назад
This is AWESOME thankyou heaps!!!
@rexregisdelgado5178
@rexregisdelgado5178 5 лет назад
Hahaha what a sound! there is a car crash at stead state point! Good animation I like it
@matrinamumba6423
@matrinamumba6423 6 лет назад
Very helpful. thanks
@VidhiDance
@VidhiDance 5 лет назад
This is so useful.. thank you!
@TheDropshipDropouts
@TheDropshipDropouts 5 лет назад
amazing video!
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