nice video. a small point... in your previous 2 period model, you made a clear distinction between beta and interest rate.. in this you are calling both "discount factors".. you may like to qualify
@snay6869Ай бұрын
very fucking lit
@fragamus2 ай бұрын
Exetra->et cetera
@rishiraj57112 ай бұрын
Thanks for this.❤
@mathiasmbendela79393 ай бұрын
It is good but indeed there are some areas that need to be further clearly explained just like what others have oberseved
@Yeove3 ай бұрын
Dunno if someone corrected you already, but the proper pronunciation is "oy-ler" not "you-ler"
@ivioalves72283 ай бұрын
Your are a friend my friend!! Thank you!
@nq2c4 ай бұрын
this was super helpful thank you!
@bilenkeziban62374 ай бұрын
Well explained, thank you!
@jujum48515 ай бұрын
Thank you
@eliali57165 ай бұрын
Thank you for your video, but you could have explained it in a shorter video. You just repeated again and again same sentences and same concept
@akshar27156 ай бұрын
Thank you! This video helped me understand with ease. Great explanation
@Julian-se6mg6 ай бұрын
Thank you so much! This is the easiest explanation I have found of this exercise. Straight to the point and with a clear explanation.
@berke-ozgen7 ай бұрын
Nice and short derivation. Kudos for the lecturer!
@1ly48 ай бұрын
👍
@ezekielasogyire16358 ай бұрын
Wow! Clear illustrations.thank you sir.
@Akshay-cj3hq9 ай бұрын
but why is alpha an inner function hmm
@AtsedeZinabu-dq4vm9 ай бұрын
great work keep it up
@samtux7629 ай бұрын
I got the definition, but I have a question. "Most of the time" we deal with open set topology. It is "concidered nice and useful". Why do we suddnly switch to closed sets here? What are the benefits?
@arsyed52569 ай бұрын
i didnt understand why you are using Yi Instead of Y hat??? kindly u can clear me???
@shubrajchuckowree567010 ай бұрын
excellent, but better use x1 and x2 rather than x and y to avoid confusion
@dikshabagh3011 ай бұрын
really good video
@victoriacorcimaru173111 ай бұрын
Honestly, a brilliant explanation! 🤩 Short question: other videos on this topic talk about taking the weighted average of x and y. How/where does that fit within your explanation, sir?
@slavojivaneie19247 ай бұрын
Tl;dr the "weighted average" stuff is supposed to motivate Jensen's inequality from probability. Read "f(E[X])" as "a function of weights" and "E[f(X)]" as "the weighted average of functions." If we apply the probability weights (t,1-t) to the interval endpoints a and b, we get ta+(1-t)b = W1, and if we apply the same weights to corresponding maps of the endpoints, f(a) and f(b), we get tf(a)+(1-t)f(b) = W2. The function f is concave over [a,b] if, for all weights (t,1-t), f(W1) ≥ W2. In other words, the value of a function of the weights (LHS) vs. the value of a weighted function (RHS). Jensen's inequality states that if f is *convex* (so f(W1) ≤ W2), and X is a random variable, then f(E[X]) ≤ E[f(X)]. If we think of taking the expectation of X as applying weights to the values that X can take on, then obtaining the expected value E[X] is much like getting W1. Thus, f(E[X]) is analogous to f(W1). Likewise, if we think of E[f(X)] as the weighted average of the random variable Y=f(X), then E[f(X)] weights f(X) to obtain W2.
@brookecribbs401811 ай бұрын
bro why I am watching this for my econ class when I took Calc 1, 2, and 3 years ago and I just so lost
@laurapena1234 Жыл бұрын
I love you Man
@swatisingh559 Жыл бұрын
This is really good⚘️⚘️
@lucienchu9649 Жыл бұрын
Super clear and concise explanation, thanks.
@haqseiitian Жыл бұрын
thankyou bro...
@dirkadrichem5468 Жыл бұрын
How about the sine and cosine function?
@sreyanjali Жыл бұрын
this was very helpful
@rohan45 Жыл бұрын
Great explanation Thank you so much
@law9544 Жыл бұрын
What are u guys majoring in?
@muzafferturgut6037 Жыл бұрын
Appreciated🙏
@zakariamh3282 Жыл бұрын
I cannot thank you enough. Not only for how well you explain and derived the equation, but also the fact that you don't assume everyone knows the intercept, the slope and other minor details. i have come here to know about the equation, but i did learn a lot more which, for the most part i didn't even know they mattered.
@shireenkhan6847 Жыл бұрын
Very well-explained. Thank you so much. Please keep on making more videos!
@shireenkhan6847 Жыл бұрын
I spent whole day trying to understand this but I finally did thanks to your video. Thank you so much
@craigmalcom6294 Жыл бұрын
yes your back.need more vids on economics!
@rajtilakpal5583 Жыл бұрын
Seriously, you need to speak at a lower voice😅
@orlandoheredia2380 Жыл бұрын
Hey, good explanation, but about the strictly concave function, the λ should be ]0,1[, right ? Because if lambda can be 0 or 1, there would be a paradox as f(x) > f(x) in that case.
@derejeabebe2828 Жыл бұрын
Very good demonstration, thank you
@letseconomics2938 Жыл бұрын
How can we prove an algebraically production set is a closed set?
@Aaron-kv6vr Жыл бұрын
thank you so much
@zainabhaider4369 Жыл бұрын
maybe a question. Why do we derive twice! We do not equate the first derivative with zero, as in Rolle's theorem.!! Why do we derive twice and not 3 or 4 times?
@fatenexusgaming9297 Жыл бұрын
THANK YOU LOVELY EXPLANATION NOW I UNDERSTAND THE LOGIC PART OF IT . SUBSCRIBED AND WILL LOOKING FOR FUTHER VIDEOS