Present Value 2 | Interest and debt | Finance & Capital Markets | Khan Academy

[@canyonthiess6917]

Over a decade later and this dude is still helping students, nothing but respect to this guy

[@mogomotsimmogapi8559]

10 years ago I flunked this for my mba really crushed my spirit. Today I understand better.thank I wasn't dumb my lecturer was just not invested in his craft.

[@synncmaster]

5 minutes of your video is more beneficial then my 3 hour lecture of postgraduate finance degree

[@juanantonio488]

x2

[@livadi23]

I can now tell my sister, (who got her MBA from Oxford) that I have got my MBA from Kahn Academy for free!! Thanks so much for these videos and keep it up!!!

[@sdott9751]

ur hired

[@everything_strength]

the type of humor at 3:40 almost sums up why I watch your videos. Sal, you get an idea across while being candidly funny. Don't worry, we always like your mini rambles!

[@aprilsmith9711]

October 2015, your lesssons are still very helpful. Thanks.

[@tamagalvin]

I had an hour lecture today and I learnt more in 3 minutes than I did. They didn't do a very good job of clarifying, just assumed you understood it. 2021

[@jacobblack4732]

2017 whooo im watching them, thank you!

[@mogomotsimmogapi8559]

10 years ago I flunked this for my mba really crushed my spirit. Today I understand better.thank I wasn't dumb my lecturer was just not invested in his craft.

[@frikhatomar6426]

May God protects you Bros ... You are really helping people around

[@robertvanghle8987]

The way you explain concepts in your videos and illustrations is great!

[@emmaracaza9921]

It's 2016 and i'm watching your videos!! Soo helpful♡

[@simplica1]

Just great...!!! You made something complicated so easy to understand in principle...i also love the virtual calculater!

[@alibinnaseer]

I am your first like

[@thebeautyist9217]

13 years later and your formula taught me more than my Cal Poly class

[@julielovesoca]

THANK U SOOO MUCH, YOUR EXPLANATION IS A LOT EASIER TO UNDERSTAND

[@t5productions]

Great Sal! Thanks a lot! I love your style of teaching on pen-scribbing paper! Genious!

[@momans899]

28/7/2016 thanks Khan academy we still get a big benefit from yous

[@TheTruthSeeker756]

Do you have a video on using that calculator and be able to do the calculation all on one line like you did? Impressive

[@FidaAifiya]

april 2017, thank you for sharing this lesson, it's super amazing

[@TheStfu1000]

so basically there exists a sum of money today a sum of money later and a risk free growth percentage in the time period of today to later. you then work out the present value of the later sum by dividing the later sum by the risk free growth percentage. whichever present value is greater is clearly the payment you should choose.

[@spinach7205]

Thank you 😊

[@louiejackson25]

Sal i don't quite understand what inflation and interesrt rates have t do with one another... I mean I doubt inflation would be the same level as interest rate... Love youre videos learnig so much just want to understand that.

[@FidaAifiya]

it may have something to do with the demand of money. the higher the interest, money demand for speculative purposes will decrease, thus the supply of money will decrease too, lowering the inflation rate. sorry if the words I use are economically incorrect, I'm not a native english speaker, but hopefully you get the point :)

[@Tryckert]

Basically if the inflation rate is higher than the interest rate then you are essentially losing money in REAL economic terms. For example, if you have $100, invest it and make 5% you would now have $105 Nominally, but if the inflation rate is 6% then you would actually be losing money, because the your investment needs to have a return percentage higher than the inflation rate to actually make REAL money in economic terms. That 5% interest rate with the 6% inflation would actually mean you would have $99.06 when converted back into the previous years price level.

[@Allmyinfoisunreal]

As simple as it gets. Thanks!

[@memphisarab]

1 = 100% which is the principal amount + .05, the interest rate.

[@iamtammichang]

you made a mistake in year one. It is supposed to be 110/1.05 instead of 1.15.

[@beny.1413]

Watching in 2020 :)

[@gswarriors53]

Can i get more commentary from Sal?

[@SumitKumar-di9oe]

This guy is a legend

[@sohshermaine8064]

Thanks my hero 💜

[@ENYCE777]

2015, May 31, and I am using this. Great information.

[@esandquistSr]

Regarding the Federal government defaulting... It has: Gold bonds, Silver certificates, War bonds (pick a war)...

[@dylanburdett8189]

nearly a decade later...2018

[@kevincecchini368]

2020 and still being viewd

[@GursimarSinghMiglani]

Amazing!!

[@TakeLife2TheExtreme]

Made in 2008 still helpful 2 days from now.

[@lephtovermeet]

Sal literally can't help himself from getting into fiat money analysis 😂

[@fauxhawkboy109]

THIS GUY IS SOO AMZINGGG !!

[@Мухаммадфаргони]

Hi! What's up? Can the future value be less but the present value is higher (such as in choice 2, PV = 10079.65 which is more then the principle, however, the FV=11000) for example, in choise 1). p=10050, rate=13 t=2years FV=12,832.85. in choice 2). p=3000, 2nd year=4500, 3 year=3500 totaly pays = 11000 if we calculate the PV = 10,079.65. Thanks in advance!

[@Мухаммадфаргони]

Sorry, i made a mistake in the last part not 2nd and 3rd year but just 1st and 2nd.

[@30paulmc]

Helping me in 2021

[@Onlyonesaves1995]

Can someone please answer: Choice one come out in a total profit of $10.15 while choice 2 gets a profit of $10.23 so wouldn't choice 2 be a better option.

[@jchakraborty9609]

u need to find out the net worth.its like u get 10 dollar profit after selling something in 110 dollar which had cost price of 100. while u get 50 dollar profit while selling something in 100 whose cost price is 50. so in first case your net worth is more,right?

[@tomcotter4299]

drew down What you’re missing is that Choice 2 gives you $10.23 on a smaller starting number ($99.77). In two years you end up with exactly $110. In Choice 1 you start with $100 and make a profit of $10.15. In two years you end up with $110.15. Therefore, Choice 1 makes you richer in the future than Choice 2 does.

[@memphisarab]

Why is $20 in Choice 3 added w/ 50 and 35 whereas Choice 1 and 2 are left alone. I understand the division per # of years. But not sure why Column three is all summed up.

[@HollisKeatingOConnor]

I've got 99.77 problems, but present value ain't one

[@himanshuchelani7010]

99.75 shoul be the value I guess!

[@abhishekkwatra1426]

can this "risk-free rate" also be taken as like inflation?

[@Real-madrid5812]

thank you very much!

[@alexsopo9917]

Compute the present value PV of the following income stream I(t), assuming an continuously-compounding interest rate of 5 per cent (r=0.05). The income stream is the following: for the first 10 years, you get nothing. Then, you get income at a constant rate of ten-thousand (10,000) dollars-per-year in perpetuity (that is, you get money at that rate for all future time).

[@Uncle19]

4:53 writes down 105*1.05 when it is already solved right above on the calculater 105*1.05 = 110.25 :P

[@delightP]

THANK YOU, THANK YOU!

[@LachlanGB]

Perhaps its outside the point of calculating the PV, but wouldn't option 3 be the best over a 2 year period? Because you would have (20x(1.05^2))+(50x1.05)+(35x(1.05^2) = $113.14?

[@MaartenvanRossemLezingen]

The 35 dollars is given to you in year 2, therefore it won't get the 1.05^2 interest. So you'll actually get about 107,70 dollars.

[@mohammadkamrul5310]

still helping at 2023

[@Chubbychilli]

Can someone please kindly explain to me why you do not square for choice 1 but you square for choice 2 and 3? Sorry...i'm really basic :(

[@waksibra]

how can i get a calculator like that on my pc?

[@BLUEGENE13]

but federal treasuries don't give you compound interest though do they, they give simple interest right?

[@FRESHENDEAVOUR]

I'm lost as how to calculate exponents on a calculator - how do you use the power / square function? perhaps I'm being stupid.

[@Zander101084]

THANKS SAL!!!

[@Seguris]

Lol @ 4:54 the answer 105*1.05 was already there XD Thanks a lot for the video.

[@50CalPaintballSniper]

were do you get the 1.05?

[@EuchridEucrow1]

@krizutch He was answering a question.

[@morphixboy]

please pray for me..i don't want to fail this subject again....

[@brindleyadolphus4905]

2021? Anyone else?

[@trelokamenos]

Hahah, that would be a dedicated banker, the sun goes nova, the universe goes heat death, but you're still getting your money!

[@saarvancasteren1123]

I can't watch the video :( I don't know what's wrong...

[@ausfyausfy2455]

He used the compounding interest equation to explain this but.... don't bonds use simple interest ?

[@UdayAggarwal95]

LMAO!! if the sun does not supernova..best way to say risk free!!!

[@Gohantico]

couldn't you save the $20 get the 5% interest over a year. then get the $50 and add that to your investment for the next year (74(1.06)). Finally add the $35 and end up making more money? Making the third choice the better outcome. (2021 and the video is still relevant)

[@Rayhuntter]

4:55 genius!! calculating something you already have above :D

[@miikaelf]

We have arrived at 2012, and the words federal government and risk free in one sentence made me smirk. Unfortunately

[@haseebahmed07518]

i want a virtual TI-85 too :D

[@basher3804]

Today Sal, please. By the time you finish, I would have the $110.25

[@thegoonist]

"if the sun does not supernova" ROFL

[@kimgautreau7534]

I donated 20

[@dabiend.9562]

nov. 22 2022 btw

[@ethanhorizon]

Great Teaching but can you make better and clear handwriting?

[@rseshadri]

1 + 5% = 1.05

[@kayuree]

2020!!!!!!!!!!!!!!

[@Gecasth]

But the main question is... why would you give us $100 dollars? D: ~

[@mohamedhanifansari9224]

Inflate the currency to death.

[@D_U_F_F_Y]

Your tangents are so annoying.. just get to the damn point. We get it, you are the safest person to risk to, we get the government is safe, we get that inflation could occur. you aren't discussing those things...... stay on topic. This video could have been 3 minutes long if you just stayed on topic and didn't repeat. If we want to repeat we can rewind it.

[@drifter2341]

thank you!