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Principles of Finance: Unit 6, Weighting Averages and Expectations 9 Views
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Weighted averages & expectations are all about odds; the odds of getting paid back, the odds of making it in the NBA, the odds of...watching this whole video.
Transcript
- 00:00
Principles of finance ah la shmoop waited averages and expectations
- 00:06
Alright us oddsmakers a big theme in finance What do
- 00:10
you believe The odds are that your body will pay
- 00:13
back the loan you just made her What do you
- 00:17
believe The odds are that you'll get into a car
Full Transcript
- 00:19
accident on the way home from dinner tonight What are
- 00:22
the odds that this drug cures cancer instead of just
- 00:26
you know making hair grow on your knuckles Well you're
- 00:29
going away odds and give numbers when you calculate outcomes
- 00:33
The big challenge here bias if you ask ten thousand
- 00:37
varsity all star high school basketball players in the u
- 00:41
s iea about all of the all stars what they
- 00:44
think the odds are that they will turn pro and
- 00:47
play in the n b a We guess about twenty
- 00:50
percent of them will say fifty fifty So what is
- 00:53
that number impute Well it means that half of the
- 00:56
twenty percent or ten percent will turn pro and play
- 01:00
in the n b a That means that based on
- 01:03
your sample ten percent of ten thousand or one thousand
- 01:07
varsity all star high school basketball players in the u
- 01:11
s just this year will turn pro and play in
- 01:14
the n b a And given that there are only
- 01:17
about five hundred total players in the n b a
- 01:21
it would be truly striking if more than double that
- 01:24
number in a single year ended up being on the
- 01:26
floor Yeah so what's the problem here Yes biased high
- 01:30
school athletes are knuckleheads when it comes to separating reality
- 01:34
from dream don't you wish you still had that love
- 01:37
in your life All right well the reality here is
- 01:39
that in a given year about ten high school students
- 01:42
who play varsity all star hoops actually make it into
- 01:45
the n b a and play for a little bit
- 01:48
in the pros The odds are good that if you
- 01:50
put all your eggs in the pro basketball basket well
- 01:54
it won't end well See the section of shmoop that
- 01:56
covers careers as a high school basketball coach physical trainer
- 02:00
and uber driver and delivering pizza Teo you know pay
- 02:04
your rent all rights let's hang up our sneakers for
- 02:07
now and think through an investment case being a rap
- 02:11
star who actually makes meaningful money comes with about the
- 02:15
same odds as being a successful n ba player But
- 02:19
at least in the n b a you make serious
- 02:21
money and for more than just the one or two
- 02:23
years But we're not here to give career advice per
- 02:26
se So let's start by looking at the numbers here
- 02:29
looking an album here and what the album does All
- 02:32
right so we have a rapper's album That's gonna have
- 02:35
different outcomes Different levels of goodness Different levels of money
- 02:40
Note here that the odds have tto add up to
- 02:42
one hundred percent You have to have invested your dough
- 02:46
fully there So these numbers are kind of odd Your
- 02:49
odds adjusted financial return here investing in this rappers album
- 02:54
everything here's the man You all right You know they're
- 02:57
they're here Well should you fund this album you get
- 03:00
fifty two percent What do these numbers mean anyway The
- 03:03
data is saying that the most likely outcome is that
- 03:06
you make just over half your money back So why
- 03:10
on earth would you put in a dollar when the
- 03:12
most likely outcome is that you get fifty two and
- 03:14
a half cents back in years later Well with an
- 03:17
expected return Less than one note how we conveniently ignored
- 03:22
time value here like you held it for five years
- 03:25
in an index fund I almost double your money or
- 03:27
at least get closed All right Well this investment on
- 03:30
this rap album is an easy pass So then what
- 03:33
would not be an easy past kind of investment Like
- 03:37
what Hurdle rate Yes hurdle rate Would you need tohave
- 03:40
that's greater than one that would then tickle your fancy
- 03:43
to find your pen and sign your john hancock and
- 03:45
take your hard earned money and invest it Ignoring time
- 03:49
is dangerous There we'll come back to that All right
- 03:51
well but in this case what if we believed in
- 03:53
america capitalism standing in respect for the flag An apple
- 03:56
pie Well if that's the case then we've comfortably invest
- 04:00
in stock market and hold for long periods of time
- 04:03
like just buying index fund and go play golf So
- 04:05
let's believe that the market in this era will go
- 04:08
up about ten percent a year We still really want
- 04:10
to be an investor in the entertainment biz and rap
- 04:13
albums you know because our self esteem is low and
- 04:16
we need the hottie bling to make us feel special
- 04:19
What multiple of our investment do we need to recoup
- 04:22
in order to meaningfully beat our and percent a year
- 04:25
hurdle rate in five years Well we start with the
- 04:27
base case of the market And if we invest a
- 04:29
dollar today than in five years it should be a
- 04:32
dollar times one point one of the fifth power or
- 04:34
about a buck sixty Well how can we make the
- 04:37
outcome of our rap album investment mohr likely positive Well
- 04:42
what if we cut a nice distribution deal with read
- 04:44
it Who guaranteed us five hundred a emma's a week
- 04:48
for a month You know that tickle people's fancy give
- 04:51
us distribution awareness Maybe a little brand Well then all
- 04:54
of a sudden the likelihood of the album being a
- 04:56
hit goes way way up in the new tables Look
- 04:59
like this Yeah And the album's not gonna kill people
- 05:02
here right here in the Numbers in the 1:3 5 there
- 05:04
we go all right well note that a few things
- 05:06
changed with the red it guys now marketing us well
- 05:10
the odds of the album inspiring young people that actually
- 05:13
do bad stuff went down The high end went higher
- 05:16
We make five times our money for a chart topper
- 05:18
instead of three times And the odds of just getting
- 05:21
half our dough back went down slightly Well here's the
- 05:24
new expected return You here's the math We're gonna win
- 05:26
one point a point You have five minutes Use all
- 05:28
the odd close but no cigar will be expected Return
- 05:32
on this investment in five years is one point three
- 05:35
five acts But in order to drive a ten percent
- 05:37
return well we need one point Six x or mohr
- 05:41
And remember investing in the stock markets probably a whole
- 05:43
lot less risky and investing in a rap album Well
- 05:46
what if the investment happened over a three year timeframe
- 05:49
I eat The album was produced and distributed much faster
- 05:53
instead of that five year plan Wealth than our new
- 05:56
hurdle rate is one point one two the third day
- 05:58
at one point three three that's kind on the market
- 06:01
would compound their magic Well in this case the expected
- 06:04
return on the rap album is just slightly better than
- 06:08
out of the stock market That is one point three
- 06:09
Five Acts beats 1 . 3 3 at least in america so should
- 06:13
you invest is the rap album a better deal than
- 06:16
just buying an index fund of the s and p
- 06:18
five hundred no in oh absolutely not even though mathematically
- 06:24
you have calculated above that it is well why risk
- 06:27
note the volatility in the rap album scenario you have
- 06:30
seventy percent odds that you lose half your money you
- 06:34
have ten percent odds you lose all your money and
- 06:37
maybe go to jail as well among other life negating
- 06:40
issues you only have a twenty percent shot of making
- 06:43
five times your money in three years and by the
- 06:45
way if you like playing the lottery that way well
- 06:47
there are tons of public company stocks that go up
- 06:50
five times in three years all the time if you
- 06:53
just go bet on those now consider the stock market
- 06:56
scenario what are the odds the market ends up being
- 06:58
worth zero well that would mean the world's been fully
- 07:02
nuked and there are no humans left including you so
- 07:05
you'd have other things to worry about him that were
- 07:07
the case or actually you'd have nothing to worry about
- 07:10
because you just be well dead or a zombie or
- 07:12
something And what are the odds of the market going
- 07:14
down Fifty percent Well in all history the market hasn't
- 07:18
had that size correction but twice and it came off
- 07:21
ridiculous bubble highs highs everyone knew were crazy and the
- 07:25
correction didn't even last very long But remember the one
- 07:28
hundred times revenues multiples late nineteen nineties internet boom Yeah
- 07:32
that kind of crazy that's what we're talking about here
- 07:34
So the odds of the market being cut in half
- 07:36
are awfully low but even if it was in your
- 07:39
patient five years later it would likely have recovered teo
- 07:42
just being flat So what's ah five year old rap
- 07:46
album worth Yeah not a lot Well the concept we're
- 07:50
getting at here is called beta beta is the standard
- 07:54
by which enormous investment decisions are made in veda is
- 07:58
contacts you'll meaning that it means something different two different
- 08:01
people think of it as the religion of risk Well
- 08:05
let's quantify some elements and newsome dissection of beta there
- 08:09
Alright what's odd about the rap album situation is that
- 08:13
the numbers are extreme in their variability like you either
- 08:17
Spend your life doing open mic nights or you open
- 08:21
for m and m Yeah them so far ends of
- 08:23
the spectrum Enormous deviation or standard deviation among outcomes Yes
- 08:28
we're reviewing from your stats course here people But we
- 08:31
need thio further review here's set of Numbers a 15:14 18
- 08:35
bhola blossom Numbers b 0:3 58 one twelve alright guess what
- 08:39
a is and guess what he is waiting waiting okay
- 08:44
a is what a portfolio of seven publicly traded stocks
- 08:49
did in a bullish market over the course of two
- 08:51
years and v is what a venture capital portfolio did
- 08:55
over the same time period note how much more variable
- 09:00
the venture investments were a bunch of them went fully
- 09:02
bankrupt that's what zeroes mean and in one you'd have
- 09:06
made a one hundred twenty five times your money in
- 09:08
two years yeah nice work if you can get it
- 09:11
well the public set of stocks was relatively low beta
- 09:14
and the private investments were very high beta mathematically most
- 09:20
investors think about beta as performance relative to the market
- 09:24
and when they say market it's a fair question to
- 09:27
ask which market and when we say market around here
- 09:30
we think of the standard as being the s and
- 09:32
p five hundred But if you're talking about tech stocks
- 09:35
while most people think about nasdaq as the market okay
- 09:38
how about a super simple example definition of beta here
- 09:41
Well yes and p five hundreds of twenty thousand It
- 09:44
goes up ten percent in a year and it ends
- 09:46
up twenty two thousand Your ten dollars stock in boring
- 09:49
co a drilling company not an emotional delimiting company ends
- 09:53
its urine eleven dollars it's beta relative to the s
- 09:56
and p five hundred is one meaning for each unit
- 10:00
that the market moved up Your sir stock moved up
- 10:03
the same amount But you have another stock in your
- 10:06
portfolio called snort mongers a chain of comedy clubs that
- 10:10
serves super foamy root beer So when audiences laugh it
- 10:14
shoots out of their nurses Uh well the public fell
- 10:17
in love with this chain and its stock went from
- 10:19
forty bucks a share Two fifty two bucks went up
- 10:21
thirty percent beta three Well it moved three times as
- 10:24
much as did the market in that year So don't
- 10:27
listen A weight lifters jocks or bro's about how important
- 10:30
It is to be alfa The real winners here know
- 10:33
that beta is where you reach the cash and think
- 10:36
really hard before you invest in that rap album from
- 10:40
your crazy uncle larry he's Not really a cz good 00:10:42.977 --> [endTime] as he thinks he is
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