Futurama 4.3 billion dollars

[neongecko06]

You could blame mathematical inaccuracy in the end result on some new fangled tax being introduced and deduced.

[prolfinator]

people complaining about the math in a cartoon, go play on you ti83 nerds

[teddy0ryan]

it's fiction people! get over it!

[Daaru23]

*tries to explain how Fry got all of his money*

[jaiitup]

A=P(1+ r/n) ^rt

A = final amount

P = principal amount (initial investment)

r = annual nominal interest rate (as a decimal, not in percentage)

n = number of times the interest is compounded per year

t = number of years

[mrmagicwaffles]

@jaiitup Yes, except you messed up one variable:

A = P(1+r/n)^nt

Without the "n" in the exponent you would get less interest with more compoundings, which doesn't make sense.

The mathematical constant "e" can be derived from this equation by setting the interest rate to 100% and the number of compoundings to infinity.

P(1+1/inf)^(inf * t)

Using our rules for exponents we can rewrite this as:

P[(1+1/inf)^inf]^t

The limit of the part inside the brackets approaches "e." So we have:

Pe^t

[jaiitup]

@mrmagicwaffles "n" is correct in this equation, in this, you technically dont need n for this problem because it is only compounded once a year. A=.93(1+.0225/1)^1*1000 A=.93(1.0225)^1000 A=.93(4605923064.2) A=4283508449.7 or 4.28 billion if you were to compound interest twice a year it would look like this A=.93(1+.0225/2)^2*1000 A=.93(1.01125)^2000 A=.93(5212778131.082) A=4847883661.906 4.84 bil n = number of times the interest is compounded per year, my bank does twice a year

[rlclark50]

@jaiitup Interestingly, if the savings account is compounded monthly (I've owned such accounts in the past), the value of the account is much higher: ($0.93)(1+(0.0225/12))^(12*100­0) ~= $5.38 billion.

Of course, savings accounts never grow greater than inflation because that is how fractional reserve centralized banking systems work. It's likely his $0.93 amount to nearly nothing given historical trends for the USD.

[jaiitup]

@rlclark50 If you think about it, Its no longer USD, since the government in the year 3000 has one government for the entire world, the world has only one currency.

[Diego1060]

love this episode but they rarely ever show it on T.V. i wonder why, or maybe i just have bad luck

[1337p0st3r]

1:16 Scruffy Cameo!

[puphop]

What episode was this?

[MrDingez]

@puphop 'A fishfull of dollars' ore something like that

[Jasonwoof35]

SHUT THE FUCK UP MATH KILLS!

[grizlyjee]

@Jasonwoof35 shouldn't you be waiting tables instead of being verbally agressive at basic math on youtube?

[Jasonwoof35]

@grizlyjee Not really.

[pizzaboss4]

What ep is this

[AwesomenessUploader]

Quite.

[mbabitt]

Aaaaand adjusting for inflation, he then realizes that this can only buy a pack of gum.

[Zorn27]

The bank usually closes an account if the person has gone missing for 10 years

[Niksa123456789]

It is important to remember the concept "time value of money", where a dollar today is worth less than a dollar tomorrow. The prevailing interest rate 2.25% is to help you with factors such as inflation. What im trying to say is that Fry would not be rich in the future, just that the dollar has really de-valuated in 1000 years :). the 4.3 billion that he received is worth around 93 cents a thousand years ago.

[mrmagicwaffles]

@Niksa123456789 Absolutely, but that is assuming there is inflation in the future, which apparently there was not.

However, inflation is generally only 2%, so Fry would still have gained some interest on his money. The equivalent of $0.93 in 1000 years would be:

($0.93)(1+0.02)^(1000) = $370,386,126.04

The actual amount Fry had was: $4,283,508,449.71

Some simple division tells us the number of $0.93 bundles Fry has:

$4,283,508,449.71 / $370,386,126.04 = 11.56

or $10.75

:)

[PainIsCupcake0]

Dear Santa , I wish for a time machine and 100k . I promise I give u back 1% of 50billion :l

[Darkaznlordx2]

4.3 billion dollars is nothing in the year 3000.....this is just how money works

[GameTrailerGuru]

But with inflation wouldn't a billion be a million or something like that.

[kyhallock]

best part = 0:42 - 0:47

[gredangeo]

is there really a bunch of nerds here arguing over how much Fry technically has in his account?

Way to go guys. This is what makes the show even more great. :)

[OfficialFrizzo]

4,283,508,449.71

[mrmagicwaffles]

($0.93)(1.025^1000) = $49,243,435,066.46

which is 2.5% (two and a half percent), an easy mistake to make.

At 2.25% (two and a quarter percent) it is:

($0.93)(1.0225^1000) = $4,283,508,449.71 ~ $4.3 billion

It is important to understand how exponential growth works, since ignorance of it can be used against you in some of the worst ways.

X(1+%) = Y

Y(1+%) = Z :substitute the first equation here for Y giving:

[X(1+%)](1+%) = X[(1+%)(1+%)] = X[(1+%)^2]

That is why he has so much money.

[65Gulya]

@mrmagicwaffles can you solve this ...FUCK YOU

[mrmagicwaffles]

@65Gulya Done. (kudos to your mom)

[summerguy03]

any idea how much 4.3 billion in year 3000 dollars would be worth in today's money? I assume the inflation that would take place over 3000 years would make it worth much, much less.

[mrmagicwaffles]

@summerguy03 Definitely, but apparently they manage to curb inflation in the future since everything is priced similar to now.

Assuming 2% inflation, $4,283,508,449.71 would be worth:

(x)[(1+0.02)^1000] = $4,283,508,449.71

x = $4,283,508,449.71 / [(1+0.02)^1000]

x = $10.76

So you could buy lunch for 2 at Burger King.

[doggycast]

@mrmagicwaffles well aren't you basing your answer on compounding that money once a year at 2.25%, that would just be a simple compound interest equation, not an exponential one. In this case a compound interest is the correct way to obtain the answer, since banks don't give out exponential growth interest rates either. Now exponential growth would give you a much higher number equaling 5,496,785,519 and that's how it works

[mrmagicwaffles]

@doggycast It is still called exponential growth. You are using the model for exponential growth with constant compounding. X = Pe^(r*t) the base exponential growth formula is: X = P(1+(r / n))^(n*t) where: P is the original amount r is the growth rate as a decimal n is the number of compoundings per unit time t is the time The limit as (n > INFINITY) of P(1+(r / n))^(n*t) = Pe^(r*t) That is why you have more money. Your money is constantly growing while mine grows at the end of the year.

[doggycast]

@mrmagicwaffles oh ya i understood that i was using the exponential growth which generates even more money, i just thought you were saying that you were using exponential growth in your example! and ya the one you used is just compounded once a year.

[mrmagicwaffles]

@doggycast yeah.

now, had Fry deposition some bacteria we would have to use the exponential growth formula you were talking about since bacteria would be constantly dividing.

[doggycast]

@mrmagicwaffles ya, a lot of people do say wow its growing exponentially since they think it just means fast or by a lot!

[alexstef2009]

@mrmagicwaffles wtf? :))))

[Geoff900]

@mrmagicwaffles except no bank would let you have a bank account that long, they will close it after X amount of time.

[mrmagicwaffles]

@Geoff900 I don't see why they would close the account. If they are doing their job right they should have been investing that money for 1000 years and have earned more interest than 2.25% per year.

[MrFerdi330]

@mrmagicwaffles I think nobody understand u.

[cornflakes002]

@mrmagicwaffles if you care this much about a Futurama episode then can you fix my debt for me :)

[mrmagicwaffles]

@cornflakes002 Haha, sorry, no. But I think the best thing to do is cut-back as much as possible, make minimum payments, and save any left over money

Plus, it would help if you won the lottery. Good luck!

[cornflakes002]

@mrmagicwaffles LOL XD Thanks :)

[DrawQuick2014]

@mrmagicwaffles nerrrd (smacks back of your head)

[videogames991]

@mrmagicwaffles I didn't get a single thing you wrote

[hiddenbutdeadly]

@mrmagicwaffles

reads comment

reads comment slowly

reads comment one character at a time

reads comment

"brain explodes"

[epikubuilder14]

@mrmagicwaffles mrmagicwaffles:now try to understand that

finn:MATHMATICAL

princess bublegum:finn your terrible at math

finn:aww :'(

[supermanondrugs1]

@mrmagicwaffles magic, got it.

[DoubleAssClown]

@mrmagicwaffles fag.

[stefanmetodijev]

@mrmagicwaffles This world needs more educated people like, you, seriously.

[raz123456789aa]

@mrmagicwaffles

the fu-

[TheFinlandnator]

@raz123456789aa Simple. He/she said to notice that 2,25 is not 2,5.

[BackBeforeDark]

@mrmagicwaffles Sorry, I couldn't follow the last part. I get the rest, but please elaborate on the X(1%)=Y ordeal?

[mrmagicwaffles]

@BackBeforeDark I was breaking down how exponential growth worth. Raising a number to an exponent is just a simpler way to write a long series of multiplications.

5^2 means multiply two fives together: 5*5 = 25

5^3 means three fives: 5*5*5 = 125

Using the associative property of multiplication we can rewrite 5*5*5 as (5*5)*5

Since we know 5*5 = 25 we can substitute 25 for the first part leaving:

(25)*5 = 125

5^4 = 5*5*5*5 = (25)*5*5 = (125)*5 = 625

[mrmagicwaffles]

@BackBeforeDark As you can see, more multiplications means a larger increase in the total value.

In my original example I used variables instead of actual numbers. However, the principle is the same.

In Fry's case: X = $0.93 and the % = 0.0225

Then: Y = X(1+%) which is how much Fry would have after one year of interest (a measly $0.95). For the second year, $0.95 is the new original amount, so:

Z = (0.95)(1.0225) = 0.97

Z = (0.93*1.0225)*1.0225 = (0.95)*1.0225 = 0.97

[mrmagicwaffles]

@BackBeforeDark To calculate how much money Fry has after 1000 years you have two options: multiply everything out or use exponential growth.

Using multiplying we would do:

0.93*1.0225*1.0225*1.0225*1.02­25 . . . until we had multiplied by 1.0225 1000 times (once for each year Fry was earning interest). THAT IS A LOT OF WORK! (even for math geeks like myself)

So instead we use exponential growth.

0.93*(1.0225^1000)

which yields the same answer. Grab a calculator and check :P

[MODERNGAMES2]

@mrmagicwaffles Bad luck, why 93 cents

IF i would make such a mistake where i lose some billions i would be pissed

I will fucking blame myself for the rest of my life

[AnarcticPanda]

@mrmagicwaffles All good math, but if it's 1000 years in the future, even if they were somehow using the same currency it wouldnt be worth nearly as much due to inflation...

[mrmagicwaffles]

@AnarcticPanda Yes. I addressed that in my response to Niksa123456789 two weeks ago.

[grizlyjee]

@AnarcticPanda not to mention (near) bankruptcy due to bad management :-)

[LoLIceCream123]

@mrmagicwaffles What he said.

[obrulz311]

@mrmagicwaffles Can you be my new math teacher ?

[JaRByaku]

@mrmagicwaffles Thanks GGG!

[TMSTitain117]

@mrmagicwaffles K but that was for 93 cents, now do 50 dollars, then I'll be impressed.

[mrmagicwaffles]

@TMSTitain117 It is the same process, but you use 50 in place of 0.93.

($50)(1.0225^1000) = $230,296,153,210.29 ~ $230 billion

Adjusted for 2% annual inflation the equivalent value today: $578.25

[TMSTitain117]

@mrmagicwaffles 0:41 for my reaction to both numbers.

[InvaderWakkoReborn]

@mrmagicwaffles Nice to know there's people that can actually do math!

[mrmagicwaffles]

@InvaderWakkoReborn There are more than you think. We tend to hide in the shadows. You might have even had a math teacher that could do math (although the probability keeps dropping).

[zerker12568901]

@mrmagicwaffles i think your quite special

[mrmagicwaffles]

@zerker12568901 Thank-you. That's what my mommy always tells me, but she is extremely biased. :P

[MCJAY2]

@mrmagicwaffles

what the fk are u talking about ..?!

[ihavekankles]

@MCJAY2

you're dumb

[MCJAY2]

@ihavekankles

no ...why im dumb just cause my english is not very well?

[AnDRoIdmAN100]

@mrmagicwaffles ok, shut up now

[redreaper2020]

Best argument for a credit union ever.

if it was a bank, they'd ask for your 4 billion in bailouts.

[HORRIOR]

Get 100$, cryofreeze ur self for 1000 years... WOOOO BABY!!

[MasterShinigami09]

*video ends*

Hey, I was watching that!

[DeltaTeamRichard]

Bender looks like a Mafioso with his top hat Cigar and a beer bottle

[nando456]

Yo dawg, I heard you like videos...

[btrballin]

which episode!!!!???

[G4Lcrew]

@btrballin A Fishful of Dollars

[AmyXRuby]

0:42 hide yo wif an hide yo kidz

0:18 hide yo wif an hide yo kidz

[AmyXRuby]

@AmyXRuby Fuck, 1:18 hide yo wif an hide yo kidz

Derp.

[immortalass]

Good for Fry that the inflation rate apparently was zero percent all those years!

[Brk40]

Anyway, it's over 9000!!!

[JaemzStar]

@Brk40 bitch i wanted to say that :D

[Altairsknife]

no its $5,229,774.324

[ftp44]

I loved this episode, a win for the underdog; Bloody idiot spent his money worse than when Homer Simpson won the lotto.

[gamefreek41795]

Well, if it were continuously compounded interest, it would be $5,496,785,518.61

[radtech21]

Anchovies!

[Totema1]

Occupy Fry

[Murderdogs]

@ImperialDawn Euros are boring, look at the pictures on the notes! Boring pictures of dull bridges and stuff which could be anywhere. Makes me glad we never joined the Euro!

[thesupremevidwatcher]

Voodooman8 is incorrect, he accidentally used 2.5 percent when he should have used 2.25 percent. The exact amount is $4,283,508,449.71 But by then inflation should have caught up with that value, so really it wouldn't be worth that much.

[elporteroful]

0:42 My reaction to the new GTA V trailer! XD

[SVWillmer]

Monocle

[christmas2akittykat]

If it were family guy, (which the joke may be stolen) he would hyperventilate and drool for an uncomfortable amount of time and it would cut off to a different scene

[DavidJF123]

@christmas2akittykat Why do you think this was stolen from family guy? This was before family guy came out

[TVgeinus90sSim]

Fry has just become the 1%

[guitardudeguy00]

if he had put another cent in there (so he started with 94 cents), he would have made an extra 46 million dollars

[Tinedmovie4062]

If this was Family Guy, he would be hyperventilating and drooling for ten minutes.

[trandomphatguy]

@Tinedmovie4062 to be fair, he would have started throwing up in the last three.

[daisukeLAPASAKARAPRO]

@Tinedmovie4062 So true.

[gameguy20100]

right step 1 get about 5000 step 2 freze myself till 4013

[ShellRageVG]

Pizza's on me!

Alriiight!

Just keep the tab under 50 million dol--

[gratianray2]

people who thumbs up at voodooman8 are idiots like him

[TehAwesomishdude]

Wow. people CALCULATED. on the INTERNET. this is a miracle.

[dean12345123]

$0.93 × (1.0225)^(1000) = $4,283,508,450

Calculated at 2.25% p.a. for compounded yearly for a term of 1000 years. NOOIICCEEE

[zapkvr]

Can't beleive he wasted it all on achovies.

[HitThatMusic123]

@ScienceFictionNerd fishful of dollars

[mercanaries3]

there will be no paper currency 1000 years from now...

[sk8erpunk394]

Not sure if Fry really died

or just Chuck Testa

[civilizationsss]

i wonder what he actually got. 4.2 billion what ever could be really small, it all depends upon real income and for that you need CPI.

[voodooman8]

@Accisma Okay, let me get Hermes' calculator...

[pulmonaryarchery88]

whats scruffy doing working at a spa

[47ss]

0:41 - 0:47 was epic

[someguy724]

1:16 oh shit i didn't know scruffy had a son.

[inyourfacesociety]

OH JOLLY ITS IN HD

[Adawg4008]

im gonna do this but i will put in 3.4 billion dollers then freeze my slef 

[voodooman8]

I't's actually $49,243,435,066.46

[phodd]

@voodooman8 you're right. The writers are making a subtle yet ludicrous computer joke. 4,294,967,295, roughly 4.3 billion, is the largest number that can be stored in 32 binary digits (a common data format here in the late 20th and early 21st centuries), suggesting that Fry earned so much interest, the bank's computer became incapable of adding any more to the account. If my calculations check out, this happened roughly 98 years and 9 months before Fry woke up.

[phodd]

@voodooman8 you're right. The writers are making a subtle yet ludicrous computer joke. 4,294,967,295, roughly 4.3 billion, is the largest number that can be stored in 32 binary digits (a common data format here in the late 20th and early 21st centuries), suggesting that Fry earned so much interest, the bank's computer became incapable of adding any more to the account. If my calculations check out, this happened roughly 98 years and 9 months before Fry woke up.

[PatchCornAdams722]

@phodd I love this comment! I've always wondered if the math behind this scene was correct (Like most of the stuff in Futurama) but never really knew how to work it out.

[prorsoft]

@phodd Nope, it's 4.3 billion all right. You get 49 billion if you accidentally calculate 2.5% instead of 2.25%.

[eamonnwalker]

@phodd I agree they probably chose the number for this reason (being roughly 2^32-1; good catch, BTW), but I think your idea of the computer maxxing out is wrong. Note that this is the largest number that can be stored for a 32-bit INTEGER. Bank accounts hold cents, also, and would thus use real numbers (or possibly an integer type offset by a factor of 100). I would be surprised if the nerds, er, writers at Futurama would make a goof like that. More likely just a nod to the number, IMHO.

[edard101]

@voodooman8 no, no it isnt

its 4,283,508,450 :)

[BrahnTheHandyMan]

@edard101 Did you count leap years?

[edard101]

@BrahnTheHandyMan well youd still get it per annum wouldnt you?? and besides, wouldnt make that big a difference

[BrahnTheHandyMan]

@edard101 I was joking...

[IamPANCAKEdealer]

@edard101 OH MY GOD it clearly just said its 4.3 billion dollars

[theultimatekoopa2]

@edard101 You're right OMG!

I just searched this in Google "93 cents * (0.0225+1)^1000 in US dollars"

[fatearcher]

@edard101 they're going to 2 significant digits, so they round up. so it is 4.3 Billion, or 4.3 x 10 ^ 9

[prorsoft]

@voodooman8 It isn't. You calculated for 2.5%, while the interest is 2.25% (two and a quarter)

[WhiteTiger1607]

@voodooman8

what bank do you work ;)

[SgtAndrewM]

@voodooman8 he right, i worked it out my self

[jingoxthefirst]

@voodooman8 what ABOUT the economy changes!?

[acarlbom]

Dude .. you don't film your TV and put it on YouTube.

You just .. don't.

[tiene0365]

@acarlbom dude just be happy it is good qaulity for filming from a tv and hear teh sound its pretty good

[msego057]

scruffy worked at Le Spa?

[Karash770]

@msego057 That's not Scruffy. He's Gruffy, the polisher.

[BlackHero22]

4.3....jesus...

[xdharokbarrowsx]

hmm.... i need a top hat.........also FIRST!!

[black3826]

@xdharokbarrowsx Nope i say.